2 .., .. 3 4 ...........................................................................................................4 , ......................................................................6 .....................................................................................................................14 ...............................................................................................................20 1..................................................................................................................................23 ...........................23 1. ...............................................................................25 . .............................................................................................25 ...................................................................................................28 .......................................................................86 1.1. .............................................................................86 1.2. .................................................................................................. 112 1.3. ....................................................................................... 120 1.4. ...................................................................................... 128 1.5............................................................................................................. 133 1.6. ...................... 147 ................................................................................................. 147 ..................................................................... 158 2. ; . ........... 164 . ........................................................................................... 164 ................................................................................................. 169 ..................................................................... 242 2.1.......................................................................................................... 242 2.2. ................................................................. 265 3. ........................................................................ 278 . ........................................................................................... 278 . ................................................................................................ 288 ..................................................................... 317 4. ................................................................... 333 ...................................................... 333 . ........................................................................................... 335 . ................................................................................................ 345 ..................................................................... 357 5. .............................................. 367 . ................................................................................................ 367 ..................................................................... 383 2................................................................................................................................ 391 .................................................................................................................................................... 391 6..393 ...................................................... 393 ............................................................................................ 395 ................................................................................................. 415 ..................................................................... 444 6.1. .................... 444 6.2. ................. 457 6.3. ..................................................................................... 464 7. . ................................................................................................. 471 ................................................................ 471 .., .. 5 . ........................................................................................... 472 ................................................................................................. 505 ..................................................................... 519 ....................................................................... 519 .............................................................................................. 534 8. 550 . ........................................................................................... 550 . ................................................................................................ 555 ..................................................................... 562 9. 566 . .............................................................................................. 566 . ................................................................................................ 588 ..................................................................... 608 ....................................................................................................... 624 ...................................................... 625 ......................... 642 ........................................................................................................................ 658 6 ,

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() ..................................... 56 1.-6. ............................................................................................... 71 1.-7. ..................................................................................................... 79 .......................................................................86 1.1. .............................................................................86 1.1. ........................................................................................................... 86 1.2............................................................................................................................... 86 1.3. ....................................................................................................... 87 1.4. ......................................................................................................... 88 1.5. ................................................................................................... 88 1.6. ................................................................................................... 89 1.7. 3............................................................................................................................ 90 1.8. ...................................................................................................... 90 1.9. ..................................................................................................... 91 1.10. ...................................................................................... 92 1.11. ............................................................................................ 92 1.12. --.............................................................................................. 93 1.13. .................................................................................. 94 1.14. .................................................................................................... 95 1.15. ................................................................... 96 1.16. ......................................................................................... 97 1.17. ................................................................ 98 1.18. .................................................................................................... 99 1.19. ........................................................ 99 1.20. ......................................................................................... 100 1.21. ........................................................................................................... 101 1.22. (-)..................................................... 102 1.23. ............................................................................................... 103 1.24. (-) ......................... 104 1.25. ....................................................................................................... 105 1.26. ............................................................................................................... 106 1.27. ..................................................................................................... 107 1.28. ...................................................................................................... 108 1.29. ................................................................................................... 109 1.30.! ! !!!.......................................................................................... 109 1.31. ................................................................................................. 110 1.32., ..................................................................................... 111 1.2. .................................................................................................. 112 1.33., .................................................................................................... 112 1.34. (-) ........................................................... 112 1.35. ............................................................................................ 113 .., .. 71.36. .................................................................... 114 1.37. ........................................................................ 115 1.38. .......................................................... 116 1.39. (-) .......................................................... 117 1.3. ....................................................................................... 120 1.40. .................................................................................................. 120 1.41. ................................................................................................. 120 1.42. JL ................................................................................................................ 122 1.43. 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(-)....................................................................... 132 1.5............................................................................................................. 133 1.53. 6 ...................................................................................................... 133 1.54. .............................................................................................. 133 1.55. ......................................................................................... 134 1.56. ........................................................................................ 135 1.57. ............................................................................................... 136 1.58. ................................................................ 137 1.59. 5 .............................................................................................. 138 1.60. ...................................................................................................... 138 1.61. ............................................................................................................. 139 1.62. ............................................................... 140 1.63. ........................................................................ 141 1.64............................................................................................................... 142 1.65. ........................................................................................ 142 1.66. ......................................................................... 143 1.67.- (-) ....................................................................................... 144 1.6. ...................... 147 ................................................................................................. 147 1.-8. ....................................................................................................... 147 1.-9. ............................................................. 152 ..................................................................... 158 1.68. ........................................................................................................... 158 1.69. 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AllLink (-)............................................................................. 160 1.71........................................................................................................... 161 1.72. ...................................... 162 1.73. ....................................... 162 2. ; . ........... 164 . ........................................................................................... 164 ................................................................................................. 169 2.-1. .................................................................................................................. 169 2.-2. ............................................................................. 173 2.-3.- ............................................................................................................. 176 2.-4. .................................................................... 182 2.-5. ............................................................................................................. 188 2.-6. ............................................................................................................. 194 2.-7. () ........................................................... 201 2.-8. 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VIP- (-) .............................................................. 247 2.9........................................................................................................................ 248 2.10. ....................................................................................................... 248 2.11. .................................................................................. 249 2.12. ................................................ 250 2.13. ....................................................................................... 251 2.14. ....................................................................................... 252 2.15. ......................................................................................... 253 2.16. .................................................... 253 2.17. ................................................................................................................... 255 2.18. ....................................................................................................... 256 2.19.- ....................................................................... 257 2.20. 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(-).................................................................................... 259 2.22. ................................................................................................. 260 2.23. ......................................................................................... 261 2.24. ................................................................... 262 2.25. . .............................................................................................. 263 2.26. ........................................................................................ 263 2.2. ................................................................. 265 2.27.7 ...................................................................................................................... 265 2.28.8 ................................................................................................ 265 2.29.9 ...................................................................................................................... 266 2.30. .................................................................................................... 267 2.31. ................................................................................................. 267 2.32. ............................................................ 268 2.33. ............................................................................................ 268 2.34. ......................................................................................... 269 2.35. ............................................................................... 269 2.36. ........................................................... 270 2.37. ................................................................................... 271 2.38. ....................................................................................................... 272 2.39. ........................................................................................................ 272 2.40. ....................................................................................................... 273 2.41. .............................................................................. 273 2.42. (-) ................................................................ 275 2.43. ...................................................................................................... 276 2.44. .................................................. 277 3. ........................................................................ 278 . ........................................................................................... 278 . ................................................................................................ 288 3.-1. .......................................... 288 3.-2. ................................................. 296 3.-3. ...................................................................................................... 302 3.-4.- ...................... 309 ..................................................................... 317 3.1. .................................................................................................. 317 3.2. .................................................................................... 318 3.3. . ................................................. 319 3.4. . ............................................................ 320 3.5. 007 ........................................................................................................... 321 3.6. ................................................................................ 322 3.7. ....................................................................................... 322 3.8. - ............................................................................... 323 3.9. ....................................................................................................... 324 3.10. !..................................................................................... 325 3.11. .............................................................................................................. 326 3.12. ........................................................................................ 327 3.13. SHARON CONSTRUCTION ................................................ 329 4. ................................................................... 333 ...................................................... 333 . ........................................................................................... 335 . ................................................................................................ 345 4.-1. .................................................................................................. 345 4.-2. ............................................................................................... 348 .., .. 94.-3. .................................................................................................................. 351 ..................................................................... 357 4.1. ............................................................................................... 357 4.2...................................................................................................................... 357 4.3. ............................................................................................................... 357 4.4. ...................................................................................................... 357 4.5. ......................................................................................... 358 4.6. - ................................................................................................... 358 4.7. ..................................................................................................... 359 4.8. ....................................................................................................... 360 4.9. .......................................................................................... 360 4.10.- (-).......................................................................................... 361 4.11. ........................................................................................................ 362 4.12. -....................................................................................................... 362 4.13.......................................................................................................................... 363 4.14. ...................................................................................................... 363 4.15. .......................................................................... 364 4.16.- (-)...................................................................................... 365 5. .............................................. 367 . ................................................................................................ 367 5.-1. 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MemoBlink ................................................................................................... 383 5.2. - (-) .............................................................. 383 5.3. ........................................................................................................ 385 5.4. ................................................................................................................ 386 5.5. .......................................................................................... 387 5.6. ........................................................................................... 388 5.7. ........................................................................................ 388 5.8. .......................................................................................................... 389 2................................................................................................................................ 391 .................................................................................................................................................... 391 6..393 ...................................................... 393 ............................................................................................ 395 ................................................................................................. 415 6.-1. ................................................................................................ 415 6.-2. ................................................................................ 422 6.-3. ...................................................................................................... 425 6.-4. .......................................................................................................... 432 6.-5. .................................................................................................. 437 ..................................................................... 444 6.1. .................... 444 6.1.............................................................................................................................. 444 6.2. ............................................................................................. 444 6.3. .............................................................................................. 444 6.4. ................................................................................................................... 445 6.5. ........................................................................................................................ 445 6.6.- .................................................................................................................... 446 6.7. ............................................................................................................ 446 6.8. ..................................................................................................... 447 6.9. ................................................................................. 447 6.10. ........................................................................................................... 448 6.11........................................................................................................................... 448 6.12. ................................................................................................................. 449 6.13. ...................................................................................... 449 6.14. .................................................................................................. 450 6.15. ........................................................................................................ 451 6.16. ........................................................................................................... 451 6.17. ............................................................................................... 452 6.18. ............................................................................................................. 452 6.19. ................................................................................................. 453 106.20. .................................................................................... 453 6.21. ................................................................................................................... 454 6.22. .............................................................................................. 454 6.23. .............................................................................................. 455 6.24. ........................................................................................... 455 6.2. ................. 457 6.25. RC-Computers........................................................................................... 457 6.26.- .............................................................................................................. 457 6.27. ............................................................................................ 457 6.28. .......................................................................................................... 458 6.29. .............................................................................................................. 458 6.30. ..................................................................................... 459 6.31. ............................................................................. 459 6.32. ................................................................................................. 460 6.33.- ............................................................................................................. 460 6.34.- ........................................................................................... 461 6.3. ..................................................................................... 464 6.35..................................................................................................................... 464 6.36. -..................................................................................... 464 6.37. ............................................................................................................. 465 6.38. .................................................................................................... 465 6.39. (-) .................................................................................................. 465 6.40. .......................................................................................................................... 466 6.41. .............................................................................................. 466 6.42. ....................................................................................... 467 6.43. .................................................................... 468 6.44. ........................................................................................................ 468 6.45. ............................................................................................................... 469 6.46. .......................................................................................... 470 7. . ................................................................................................. 471 ................................................................ 471 . ........................................................................................... 472 ................................................................................................. 505 7.-1. ..................................................................................... 505 7.-2. ................................................................................... 513 ..................................................................... 519 ....................................................................... 519 7.1. ........................................................................................... 519 7.2. ..................................................................... 519 7.3. .................................................................................................... 520 7.4.- ................................................................................................................... 520 7.5. ............................................................................................................. 521 7.6. .................................................................................................................... 521 7.7. ............................................................................................. 522 7.8. .................................................................................... 522 7.9. ....................................................................................................... 523 7.10. ................................................................................................................ 523 7.11. ................................................................................................ 524 7.12. ............................................................................................................... 524 7.13.- ................................................................................................................. 525 7.14. ..................................................................................................... 526 7.15. .............................................................................. 527 7.16. ........................................................................................... 528 7.17.......................................................................................................................... 528 7.18. ............................................................................................................. 529 7.19. ........................................................................................................... 529 7.20. ...................................................................................................... 530 7.21. .................................................................................................. 532 .............................................................................................. 534 7.22. 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(-) ............................................................................. 549 8. 550 . ........................................................................................... 550 . ................................................................................................ 555 8.-1. - ....................................................................................... 555 ..................................................................... 562 8.1. ............................................................................................................ 562 8.2. ............................................................................... 562 8.3. ...................................................................................................... 563 9. 566 . .............................................................................................. 566 . ................................................................................................ 588 9.-1................................................................................................................. 588 9.-2. ................................................................................................ 597 9.-3. ................................................................................................... 602 ..................................................................... 608 9.1. ........................................................................... 608 9.2. ...................................................................................................... 608 9.3. ................................................................................................................. 608 9.4....................................................................................................................... 609 9.5. ................................................................................................ 609 9.6. ................................................................................................ 609 9.7. .................................................................................................. 610 9.8. .......................................................................................................................... 610 9.9. (-) ....................................................... 611 9.10.......................................................................................................... 611 9.11. ................................................................................................................. 611 9.12. 95.................................................................................................................. 612 9.13. ...................................................................................................... 612 9.14. . ..................................................................................................... 612 9.15. ......................................................................................................... 613 9.16. .................................................................................................... 613 9.17............................................................................................................................. 613 9.18. .................................................................................... 614 9.19. ............................................................................................... 614 9.20. ................................................................................................................. 614 9.21. ......................................................................................... 615 9.22. ............................................................................................. 615 9.23. ...................................................................................................................... 616 9.24.- ................................................................................................................ 616 9.25. (-)........................................................................................ 617 9.26.-....................................................................................................... 619 9.27. ...................................................................................... 619 9.28. ............................................................................................ 619 9.29. ............................................................................................. 620 9.30...................................................................................................................... 620 9.31. .............................................................................................................................. 620 9.32. ........................................................................................................ 621 9.33. ..................................................................................................... 621 9.34. ............................................................................ 622 9.35. ...................................................................................................... 622 12 ....................................................................................................... 624 ...................................................... 625 ............................................................................................... 625 ; ................................... 633 .......................................................................................... 637 ....................................................................................... 639 ................................................................... 641 ......................... 642 ....................... 642 ................................................................................................................. 647 ...... 652 .................... 653 ........................................................................................................................ 658 .., .. 13 14 , ! ,,.,, , ! , . , , , ,(Operations Research). , . , , ,, ,, . , , , , ,, . ,, , . , . .., .. 15 . . , . . , ,, () .(, ), ., , . , , , , , ., - . ,, ( ). , ,., - , ., , . ,-, (). , .-, ( ,-..). . 161,- ,. MS-Excel . , 8 MBAExecutiveMBA , -, . , . , 300 . . , . , (, ) , , , . ,,., , . , ,, . ,, (, , )., , . 1 ., , ., ( , ). , , , ,. , - ,. ., ,,, , . .., .. 17 (-). 10%., ( ). , ,,,, ., ,, . , . : , : I. 1 2 ; 3 4 5 II. 6 7 8 9 . . , , (), . , . ,MSExcel, ,,, , .MSExcel,, ,MSExcel , , www.ibs-m.ru/books , . ., ,- 18, (,,, , , ..). . , . -, ( ).-, , . ,, , ., - . 1... , (-),,2002,, 2005 (. 2- ). 2...,..,.., , , --, 2001 3..,.,,, , 1997 4. ., , , 1999 5... ,,, ,2002 6...,..,.., , , -, 1998 7... , , , 1988. 8.,...,, , 1997 9. .., , , , 2001 10. ..,.., ,II, , 2001 11. AustinL.M.,P.Ghandforoush,ManagementScienceforDecisionMakers,West Publishing Company, 1993 12. ChaseR.B.,N.J.Aquilano,JacobsF.R.,ProductionandOperationsManagement/ Manufacturing and Services, Irwin- McGrow-Hill, 1995 13. LawrenceJ.A.,B.A.Pasternack,AppliedManagementScience(Computer Integrated Approach for Decision Making), J Willey&Sons, 1998 .., .. 1914. MeredithJ.R.,S.M.Shafer,E.Turban,QuantitativeBusinessModeling,South-Western, Thomson Learning, 2002. 15. HillerF.S.,G.J.Lieberman,IntroductiontoOperationsResearch,McGrow-Hill International Edition, 1995. [1]. ,, MSExcel, . [1], ., [1]. [1], . ,[1], , [2-5]. . [2] , . [3,4] . -,,, ,, . [5] , [1]. ,. 6 7. [6], , . [7]. [8-10] , . [11-15] ,, , , . 20 .. - .. . , . ExecutiveMBA (UAMS) , , , . : (ExecutiveMBA UAMSIBS-M(), -04, 1999 .), (MBA -, 20, 2004 .), (MBA -, 08, 2002 .), (MBA -, 15, 2003 .), (MBA, -10, 2001 .), ( MBA , -06, 2003 .), (MBA, -11, 2001 .), (Executive MBAUAMSIBS-M() , -09, 2002 .), (MBA, -12, 2002 .), (MBA -, 11, 2002 .), (MBA -, 18, 2003 .), .., .. 21(Executive MBAUAMSIBS-M(), -10, 2002 .), (ExecutiveMBA UAMSIBS-M(), -09, 2002 .), (MBA -, 01, 2000 .), (Executive MBAUAMSIBS-M(), -16, 2006 .), (ExecutiveMBA UAMSIBS-M(), -09, 2002 .), (MBA -, 04, 2001 .), (MBA, -04, 2002 .), (Executive MBAUAMSIBS-M() , -11, 2003 .), (MBA, -10, 2001 .), ( Executive MBA UAMSIBS-M(), -11, 2003 .), (MBA, -02, 2001 .), (ExecutiveMBA UAMSIBS-M(), -13, 2004 ), (Executive MBAUAMSIBS-M() , -03, 1999 ), ,, , . MBA Executive MBA , . ,:, , ,, . . , ( , ). , . 22 .., .. 26 2006 1 .., .. 25 1. . , (, ), . . ,,,, ,. , ,. ,, (,, ..),,., , . . , . , , , , , .. , . ,, , . (,- )., . ,. ,,. , . , . -(, , ),-, (, , ), -(, , , ). , , . , , , .. n n 2 2 1 1x c x c x c + . + + ? ,, , ; ,; ,, ., - , , . , 1 1 2 1, / x c x cx , x c ,x cx21 1 2 1 .., . , , .. ,. , . , , ( ) . MSExcel, . . , MS Excel: .., .. 27 ; ,MSExcel, (); , ; , MS Excel .. ,, Windows(,, , , , , .). , , , Windows MS Excel. ,( ,), ,,MS Excel., ,( Solver)., \ ( Add-Ins) .Ok(, MS Office) MS Excel, . , MS Office, MS Excel., , , , . [1]. 1.-1. . . 10 (8 ), 5 ,400. : .400 250150. 3:,. . () () 3015$ 45 3030$ 90 6030$120 a., ? b. ()? , ? c. 280 , 120 100 . . , .6 ,30( ). $15, -$50.,-250 150, , ? d., , ? ? # .., .. 29 . a.,. ,, . , , .P, . , , .3:1- ,23. , , :P = X1*45 + X2*90 + X3*120 ($). MS Excel (. 1): , ,(),.. ,. MS Excel=( ) (SUMPRODUCT()), P., ., 250, 150. . , MS-Excel. , , . t1=X1*30+X2*30+X3*60 (), . 1 12345678A B C D E F () (), $ 30 15 45 0 X1 30 30 90 0 X2 60 30 120 0 X3 =(E3:E5;D3:D5) t2=X1*15+X2*30+X3*30 (), t17%. 2,71. , . 4., .1,8.1. ,16.., 8 36 .. 3,48,87..21 .. 6().1,6.10. 10. 21 . . . 106. , 0,2%(), , .123456789101112131415161718192021A B C D E F G H I . . . 1 2 3 4 5- 18 25 30 15 20min % 5% 5% 5% 7% 7%- Max Min % -/ 1 16 1 6.0% 7.50 4 1 16.002 30 1 8.0% 15.80 23 24 1 5.8% 7.53 64 28 1 5.3% 7.10 85 20 2 7.8% 14.80 1 1 20.006 32 2 6.2% 9.80 67 34 2 7.1% 11.53 5 1 15.008 36 2 6.0% 8.37 4 1 36.009 38 3 5.9% 7.20 910 40 3 5.6% 7.07 6 1 21.00108.0035.003.971038.60 %>7% . 106 -. MSExcel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min % 0.05 0.05 0.05 0.07 0.07 1 2 3 4 5 1 16 0.000 281.605 20 0.750 292.007 15 -0.750 273.008 18 18 0.000 511.2010 9 12 0.000 381.000.000 0.000 0.000 0.000 0.000 1 739 % 0.0600 0.0586 0.0584 0.0710 0.0780 Max 20 18 16 22 20k 1.5 1.2 1.2 1 1 14.00 14.30 12.77 21.69 17.71 1 672.4 . 107 . ,, .,, ., ., . ,, . , -, , . , - . ,, ,, , .,,, . 3-e: .., .. 225,,,, .,,. , .-,-?- , . , ? 3 . , , , , , . . . ,, ,..107, , 5- maxminmin) 1 ( Ckk kH C = . (, ), , - = 1038,6 + 1738,8 + 1642,7 = $ 4449,8 .

. . 108. 12345678910111213141516171819202122232425262728293031323334353637383940414243A B C D E F G H I . Max Min % / . 1 16 1 0.060 7.5 4 0=G3*C3=G15-100*G32 30 1 0.080 15.8 2 1=G4*C4=G16-100*G43 24 1 0.058 7.53 6 1=G5*C5=G17-100*G54 28 1 0.053 7.1 8 0=G6*C6=G18-100*G65 20 2 0.078 14.8 1 1=G7*C7=G19-100*G76 32 2 0.062 9.8 6 1=G8*C8=G20-100*G87 34 2 0.071 11.53 5 1=G9*C9=G21-100*G98 36 2 0.060 8.37 4 1=G10*C10=G22-100*G109 38 3 0.059 7.2 9 0=G11*C11=G23-100*G1110 40 3 0.056 7.07 6 0=G12*C12=G24-100*G12 1 2 3 4 5 1 - - - - 0.0 - =(B15:F15)-G152 - 21.8 - 8.2 - 30.0 =(B16:F16)-G163 - 3.2 - 6.8 - 10.0 =(B17:F17)-G174 - - - - - 0.0 - =(B18:F18)-G185 - - - - 10.0 10.0 =(B19:F19)-G196 - - 16.0 - 10.0 26.0 =(B20:F20)-G207 18.0 - - - - 18.0 =(B21:F21)-G218 - - 14.0 - - 14.0 =(B22:F22)-G229 0.0 - - - - - =(B23:F23)-G2310 - - 0.0 - - 0.0 =(B24:F24)-G24 18 25 30 15 20 /- =(B15:B24)-B25 =(C15:C24)-C25 =(D15:D24)-D25=(E15:E24)-E25=(F15:F24)-F25=(G15:G24;F3:F12)/(B25:F25)4min % 5.00% 5.00% 5.00% 7.00% 7.00% % =(F=(G29;G30;G31). 20 18 16 22 20=(B15:F24;B34:F43)K_% 1.50 1.20 1.20 1.00 1.00=(B31:F31;B25:F25)- =B29*(1-B30*(B28-B27)/B27) =C29*(1-C30*(C28-C27)/C27) =D29*(1-D30*(D28-D27)/D27) =E29*(1-E30*(E28-E27)/E27) =F29*(1-F30*(F28-F27)/F27) =(G15:G24;E3:E12)- - 1 2 3 4 51 24.2 17.6 25.8 24.2 18.8=G28 4 449.8=(H34-G28)/H342 28.8 9.6 11.8 10.2 15.6=G29 1 738.8=(H35-G29)/H353 15 7.8 21.8 8.2 11=G30 1 672.4=(H36-G30)/H364 23.2 17.4 25.4 19.8 26.2=G31 1 038.6=(H37-G31)/H375 23.6 20.2 22.6 20.4 14.66 14.2 8.2 9.4 15.8 8.47 12 16.2 19.2 18.2 198 15.8 19 12.6 24 21.29 11.4 20.2 16.6 25.4 22.210 21.4 20.2 16.6 25.4 22.2- - . - =(B15:B24;$D$3:$D$12)/B25 . 108 50 105-( B15:F24),1010- ( G15:G24), 10 (G3:G12), 1. H3:H12, ,I3:I12, , .., .. 227(H26), 1. H15:H24,, B26:F26,-, %, (B28:F28), 1. ,(, ),L3.(L9) -(L5) 1 . ( L7) ,, , , . 1 ( B31:F31). , . . 109. . 109 . 110.,, , 15%, ,$700. 34%,18%, 23%. , . 4,5,1,2, ., . 12345678910111213141516171819202122232425262728293031323334353637383940414243A B C D E F G H I . Max Min % / . 1 16 1 0.060 7.5 4 0 0 0.02 30 1 0.080 15.8 2 1 1 -70.03 24 1 0.058 7.53 6 1 1 -90.04 28 1 0.053 7.1 8 0 0 0.05 20 2 0.078 14.8 1 1 2 -90.06 32 2 0.062 9.8 6 1 2 -74.07 34 2 0.071 11.53 5 1 2 -82.08 36 2 0.060 8.37 4 1 2 -86.09 38 3 0.059 7.2 9 0 0 0.010 40 3 0.056 7.07 6 0 0 0.0 1 2 3 4 5 1 - - - - 0.0 - 0.002 - 21.8 - 8.2 - 30.0 0.003 - 3.2 - 6.8 - 10.0 0.004 - - - - - 0.0 - 0.005 - - - - 10.0 10.0 0.006 - - 16.0 - 10.0 26.0 0.007 18.0 - - - - 18.0 0.008 - - 14.0 - - 14.0 0.009 0.0 - - - - - 0.0010 - - 0.0 - - 0.0 0.00 18 25 30 15 20 /- 0.00 0 0 0 0 4 4min % 5.00% 5.00% 5.00% 7.00% 7.00% % 7.10% 7.72% 6.11% 7.00% 7.00% 3 795.2Max . 20 18 16 22 20 1 146.4K_% 1.50 1.20 1.20 1.00 1.00 1 372.0- 7.40 6.25 11.75 22.00 20.00 1 276.8- - 1 2 3 4 51 24.2 17.6 25.8 24.2 18.8 3 795.2 4 449.8 15%2 28.8 9.6 11.8 10.2 15.6 1 146.4 1 738.8 34%3 15 7.8 21.8 8.2 11 1 372.0 1 672.4 18%4 23.2 17.4 25.4 19.8 26.2 1 276.8 1 038.6 -23%5 23.6 20.2 22.6 20.4 14.66 14.2 8.2 9.4 15.8 8.47 12 16.2 19.2 18.2 198 15.8 19 12.6 24 21.29 11.4 20.2 16.6 25.4 22.210 21.4 20.2 16.6 25.4 22.2- - . - . 110 , . . , . , .., .. 229,.-, . , , ,,.-,, ., , ., , ,, . (. [2-6] 2.1 ). -, , , -.. ..,, ., , , , ? ,, 1. . ,Frontlinesystems1991., StandardSolver,,200 .Premium Solver 2000.Solver,1 .. . -www.solver.com -www.maximalsoftware.com -www.cplex.com-www.ilog.com (.,Interfaces_________,INFORMS2004______________________________)., , ,, , . , , ,, . , (-) . , , , , . -,,, ,, , . ,, . - -. -, .-, , , , . , , ,, . , , ( ). -,, , ,, ., ,-,, . ,, , , -. , -.,,, .,, . 2.-9. 12. ., ,., . , . .., .. 231 .12, , , , 78( ). . , 12345678910 1112 ##58635 913 27 23 19 14 2020 . 15##13537 14 18 28 28 24 19 2125 . 2813##939 7833 17 12 92620 . 3659##40 13 16 32 26 21 17 2526 . 435373940## 32 34 12 37 37 33 1721 . 591471332 ## 428 15 10 52214 . 6131881634 4## 31 10 612514 . 72728333212 28 31 ## 37 36 30 722 . 82328172637 15 10 37 ## 593316 . 91924122137 10 636 5## 63016 . 10141991733 5130 96## 2512 . 112021262517 22 25 733 30 25 ##18 . 122025202621 14 14 22 16 16 12 18## a., , 12 . . . b., 2 . . # . ,, ., , . ! ,, () ,. ,, ,,. . , ! . , ,, . , . - !? ., . , . ,,, . , .1313 ,(12) 13 , , . =(), ,. (. 111). ABCDEFGHIJKLM NOP 1 2012345678910 11 1230##58635913 27 23 19 14 20 20=(C3:O3;C18:O18) 41 15## 1353714 18 28 28 24 19 21 25 0 52 2813 ##9397833 17 12 926 20 0 63 3659##4013 16 32 26 21 17 25 26 0 74 43537 3940##32 34 12 37 37 33 17 21 0 . . 1512 122025 20262114 14 22 16 16 12 18 ## 0 160 17012345678910 11 1218=(C18:O18) 19 10 20 20 21 30 22 40 30 120 31000000000000=(O18:O30) . 111 ., . .., .. 233 . 112 .. - , -->3-> 1-> . : 2 -> 5-> 2, 7 -> 11 -> 7 (. 113 . 112).

0123456789101112 0##586359132723191420205 1 15##1353714182828241921255 2 2813##93978331712926207 3 3659##4013163226211725266 4 435373940##323412373733172121 5 591471332##4281510522147 6 61318816344##31106125141 7 727283332122831##3736307227 8 82328172637151037##5933165 9 91924122137106365##630165 10 10141991733513096##25121 11 11202126251722257333025##187 12 12202520262114142216161218##21 98 0123456789101112 01000000000001 100010000000001 200000100000001 310000000000001 400000000000011 500100000000001 600000000001001 700000000000101 800000000010001 900000000100001 1000000010000001 1100000001000001 1200001000000001 1111111111111 . 113 , . 7 -> 11 -> 7,., C18-O30., , , J29 ( 7 11),N25(117),J29 . , , ., , . ,1. . (.114 ). 109 0123456789101112 00010000000001 110000000000001 200000000010001 301000000000001 400000000000101 500100000000001 600000100000001 700001000000001 800000000000011 900000000100001 1000000010000001 1100000001000001 1200000000001001 1111111111111 . 114 -, , 98 109 . .. . . 115 .., .. 235(.114.115), . , . ( ), 3 . www.HCXL.ru , . , . . ,, Large-ScaleLPSolver. -FrontLineSystem www.solver.com. . . , 1608. MS Excel 200 . ,, , ,, . : . , . . 1 12 , (), .. 12 . . (112)( 112,,), , 144(=12*12). ,, , . , , , . 144 . . . .12 . 12 + 11* 12*12 + 12 = 1608 . , , . , , .,, , 12() 13 . (.116) .D36:O168C169:C180. D36D36:O36, 1. D21:O21D36:O36,R21 =($D$1:$O$1;D21:O21) . .., .. 237ABCDEFGHIJKLMNOPQR 10123456789101112 20##58635 9 13 27 23 19 14 20 2031 15##13537 14 18 28 28 24 19 21 2542 2813##939 7 8 33 17 12 9 26 20 53 3659##40 13 16 32 26 21 17 25 26 64 435373940## 32 34 12 37 37 33 17 21 , . 75 591471332 ## 4 28 15 10 5 22 1486 6131881634 4 ## 31 10 6 1 25 1497 72728333212 28 31 ## 37 36 30 7 22108 82328172637 15 10 37 ## 5 9 33 16119 91924122137 10 6 36 5 ## 6 30 161210 10141991733 5 1 30 9 6 ## 25 121311 112021262517 22 25 7 33 30 25 ## 181412 122025202621 14 14 22 16 16 12 18 ##15 , . 1655974165162112720118 170=R212000000000=R33 18 19111111111111=(O36:O180) 20 211100000000000111 222001000000000113 233010000000000112 244000010000000110 255000001000000110 266000000000100110 277000000001000110 288000000010000110 299000000000001110 3010000100000000110 3111000000100000110 3212000000000010110 33131110 34 350123456789101112 3601100000000000 = (D36:O36) 37120010000000001 3820000000000000 3930000000000000 48120000000000000 49130000000000000 1571120000000000000 16370000000000101 16812000000000000 = (D168:O168) 1691130=C169 17020=C170 1791111 1801200 =($D$1:$O$1;D21:O21) =(D36:D48)=(D109:D120)=(D36:O36) . 116 D37:O48. F37 , 3 (. ,1,F35). A37. P36:P168. , . , , ,P37:P48 D21:O21.,., (,, )!D22:O22D37:D48 O37:O48,, . .. D22:O22 , . R22=($D$1:$O$1; D22:O22) .D49:O60. P49:P60D22:O22, .13 . ,. 12 : C169:C180. , , , .. . P169:P180 D32:O32, Large-Scale LP Solver. , 1, C19:O19. ,1, .1 Q21:Q33. :1 2,3,412,22,3,412..12., Q21:Q33=1, .,., , ,. C2:O14. C16=($C$2:$O$2;$C36:$O36) .D16:O16 =($C$3:$O$14;$C37:$O48) , .. (Q16),, .., , (. 117) .., .. 239 . 117 , . Options (. 118) . 118 ,1-3, , , : 118 , - (0)132561098124711 (0) , ..119 . . 119 b., ,2. ., , , , . ,MSExcel. . ,, 2. .. ,2. 2,,. ., , . 120. .., .. 241ABCDEFGHIJKLMNOPQR 10123456789101112 20##50635 913 27 23 19 14 20 2031 15##5537 14 18 28 28 24 19 21 2542 205##635 913 27 23 19 14 20 20 53 3656##40 13 16 32 26 21 17 25 26 64 435373540## 32 34 12 37 37 33 17 20, . 75 591491332 ## 428 15 10 522 1486 61318131634 4## 31 10 6125 1497 72728273212 28 31 ## 37 36 30 722108 82328232637 15 10 37 ## 5933 16119 91924192137 10 636 5## 630 161210 101419141733 5130 96## 25 121311 112021202517 22 25 733 30 25 ## 181412 122025202621 14 14 22 16 16 12 18 ## . 120 , 2,, . Large-Scale LP Solver,:R21=2. ,2 . : (0) 231117412891065 (0) 112 . , ., . , . 2.1. 2.1. 11- . ,

1 2 3 4 5 6 7 8 9 10 11 11515202325272829303538 21313212319242931272935 31213162326262631333332 41115202419252727323533 1 2 3 4 30755540 ( ) . 1 2 3 4 5 6 7 8 9 10 11 - 1520152015102510102535 , . # 2.2. W1,W2,W5D1,D2,D101 ., ,D4 W3,D9W1D7 W 5. D1D2D3 D4 D5D6 D7 D8D9D10 .., .. 243W 11465126141411612 W 21310415149816417 W 315131159767146 W 41217412146117912 W 5181211981781189 . D1D2 D3 D4 D5 D6 D7 D8 D9D10 -611 11 312 12 83211 W 1W 2W 3W 4W 5 -172310245 a. , .b.? . # 2.3. . ., . - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 1345340360360350355335340 2335360355355345345350355 3350340340345350345350345 4350335350340360360365360 :

- 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 , 2614281713183454 : 1 2 3 4 , 45786362 8, 1 - 4. a. , , . ? b.?, . # 2.4. . ., . - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 1255270255270250265270250 2270270270260265255250260 3260270255245260245255255 4250270245265260260245265 :

- 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 , 3132284246294189 : 1 2 3 4 , 651196369 , , .. 8 , . . a., . ? b. ? c.? . # 2.5. 5. , , (. ). . A B C D E 43450510610470520 44460360380390390 45570420390360550 46600500590640500 47370530440430550 48470460410610390 49470530510560400 - : .., .. 245 A B C D E 45615754179 : 43 44 45 46 47 48 49- 49396469484670 . a. ? b. ?c. ? d. ? . # 2.6. 1, 2, 3 4 . . (1 10). 1 . , . . C1C2C3C4C5C6C7C8C9C10 13.1187.517.69.3149.714.58.114.1 23.86.86.38.317.312.316.35.25.113.9 39.65.6716.88.510.411.28.28.318.9 412.516.26.616.514.93.45.614.211.317.4 , . . C1C2C3 C4 C5 C6 C7 C8 C9 C10-, 2254544123 , . 1234 -4111720 ,- 3 2 3 .. a., . ? b. ? c. ?# 2.7. W1,W2,W5C1,C2,C91 ., ,3 W4 W5. C1C2C3C4C5C6C7C8C9 W1486557576854654949 W2634558755170565275 W3656557466267757243 W4627557666060595557 W5524451774456556048 . C1 C2 C3 C4 C5 C6 C7 C8C9 -45 36 31 28 19 40 30 3946 W1W2W3W4W5 -5845686339 a., . ? b. ? c. ? d.-3 W4 W5? # .., .. 2472.8. VIP- (-)12 -., , . 9. , (7 .). 1 ( , ). - - - - -- - Cubi5641012915 Mistral10151830321835 Giro67612141116 Maxi58121415820 Veroca2216538 Dany12151117201418 Ondex15101829342028 Srisce86101517720 Metafisika17182333351928 a., , . , CubiGiro, Maxi, -Dany,Veroca,Ondex. (,)? ( ) ? b., . , . ? ? # 12MBA (MBA04)2003.( " "). 2.9. . 1 ., . . - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 1395310355315315310295295325 2350300360345345275270285300 3320345305380385335320265300 : - 1 - 2 - 3- 4- 5- 6- 7- 8 - 9 , . 9111018121312625 : 1 2 3 , .464447 9, 1 - 3. 2 -> 3 . a.,, . ? b. ? # 2.10. . (. ). A B C D E 16845925900715925 17905685665665720 18710665830800735 19835645785665815 .., .. 249 20825930795715960 21745785935780885 22680715895665710 23655715765865830 - : A B C D E 160186123165135 : 16 17 18 19 20 21 22 23- 12810476786011713056 . a. ? b. ? c. ? d.,- 20D. 100.- ? e. ?# 2.11. . .

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ABCD E F G H IJK L M N OPQRST U V1 AB C D E F G H IJ K L MNOPQR S T2 69 11 10 15 9 20 9 15 12 11 11 13814612 10 12 123BDIQR5601 0 1 0 0 0 0 1 0 0 0 000011 0 04BHPR3401 0 0 0 0 0 1 0 0 0 0 000101 0 05GLO4200 0 0 0 0 1 0 0 0 0 1 001000 0 06GKNS5100 0 0 0 0 1 0 0 0 1 0 010000 1 07FKNS4000 0 0 0 1 0 0 0 0 1 0 010000 1 08AEMS4610 0 0 1 0 0 0 0 0 0 0 100000 1 09ACJMS5410 1 0 0 0 0 0 0 1 0 0 100000 1 010ACJTS 531 0 1 0 0 0 0 0 0 1 0 0 000000 1 111 1256_ =($C$2:$V$2;C3:V3) =(B11:B23) . 162 12. A3:A108( ).C3:V10, ( A3:A10 ), =($C$2:$V$2;C3:V3)B3:B10 . , .., .. 305 , . , , . C3:V10 , Excel. C3, , =(((C$1;$A3));0;1).(C$1;$A3) C1A3., A3C1,,A3 #., ,()., ()#,, .,30, , , ().,, :()(),0 (),()(),1(). Excel,,, .$, C3:V10., 1.28.B3:B10 3256.BDIQR. 56. a.B12=(B11:B23),, , . . , OL- BDIQR., ,., BDIQR!, , . ! B 9 8 , D 10 9 .. B12 54 . 51.,ACJMS, BDIQR, 1 . , BDIQR 2 ACJMS ., BDIQR,ACJMS. . , ,2 (). , , ., 3? , , . . (.163).-, 62-3-C3:V3C4:V4 .999. ,, . . 7 8 . , ( 1 2 ). . ,, .C6:V6=C7+C8 . C2:V2 .B9:B16,, , . ABCD E F G H IJK L M N OPQRST U V156AB C D E F G H IJ K L MNOPQR S T2 69 11 10 15 9 20 9 15 12 11 11 13814612 10 12 123. . 1 . 87 5 8 8 -3 1 6 9 1 4 274253 6 74. . 2 . 1111 9 13 12 -7 8 10 -1 10 6166294 10 135 . 69 11 10 15 9 20 9 15 12 11 11 13814612 10 12 126. . 00 0 0 0 0 0 0 0 0 0 0 000000 0 071- . 00 0 0 0 0 0 0 0 0 0 0 000000 0 082- . 00 0 0 0 0 0 0 0 0 0 0 000000 0 09BDIQR5601 0 1 0 0 0 0 1 0 0 0 000011 0 010BHPR3401 0 0 0 0 0 1 0 0 0 0 000101 0 011GLO4200 0 0 0 0 1 0 0 0 0 1 001000 0 012GKNS5100 0 0 0 0 1 0 0 0 1 0 010000 1 013FKNS4000 0 0 0 1 0 0 0 0 1 0 010000 1 014AEMS4610 0 0 1 0 0 0 0 0 0 0 100000 1 015ACJMS5410 1 0 0 0 0 0 0 1 0 0 100000 1 016ACJTS5310 1 0 0 0 0 0 0 1 0 0 000000 1 117 1856 0 1951 =(B11:B23)=($C$2:$V$2;C9:V9) . 163 , .. =(C3:V3;C7:V7) . C4:V4 .., .. 307C8:V8. V18 : =(C3:V3;C7:V7) + (C4:V4;C8:V8). . . - , B19.,,56 A1. . ,C9:V16 , . ?. , . , - , ,, . . ,, .V18, . C7:V8.., : C7:V8 = . . =(B9:B16),, :B9:B16 = C8:V8. ,, .(K P)., , . . 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