lob management

18
Line Of Balance

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Page 1: Lob management

Line Of Balance

Page 2: Lob management

Q1:

Activity Predecessor Duration Rate

Z W,X,Y 10 4

W R 14 2

R - 8 4

X R 20 8

Y R 12 4

For the 65 units Construction Project using the one unit net work it is required to: 1) Draw LOB Chart. 2) Check project situation at 46th week. 3) What’s your recommendation if at 60th week activity Z finished in 39 unit ?

Page 3: Lob management

R

0 8

8

X

8 28

20

W

8 22

14

Y

8 20

12

Z

28 38

10

A.O.N For the first unit at (N=1)

Page 4: Lob management

𝒕𝒐

𝒕𝒇

Rate= slope = π‘΅βˆ’πŸ

π’•π’‡βˆ’ 𝒕𝒐

N – 1 = R (𝒕𝒇 βˆ’ 𝒕𝒐 )

𝑡 – 𝟏

𝑹 = 𝒕𝒇 βˆ’ 𝒕𝒐

𝑡 – 𝟏

𝑹 = 𝒕𝒇 βˆ’ 𝒕𝒐

𝒕𝒇 = 𝒕𝒐 + 𝑡 – 𝟏

𝑹

𝒕𝑢 = 𝒕𝒇 - 𝑡 – 𝟏

𝑹

𝟏

𝑡 π’•π’Šπ’Žπ’†

π’•π’Šπ’Žπ’†

π‘¨π’„π’•π’Šπ’—π’Šπ’•π’š

Page 5: Lob management

For Activity (R) : π’•πŸŽ = πŸ–

𝒕𝒇 = 𝒕𝒐 + 𝑡 – 𝟏

𝑹

𝒕𝒇 = πŸ– + πŸ”πŸ“ – 𝟏

πŸ’ = 24

Unit Time

Time

24

8

R

N= 65

N= 1

Page 6: Lob management

For Activity (w) : R(w) < 𝑹(R) 2 4

π’•πŸŽ(π’˜) = 𝒕𝒐 (𝑹) + 𝑫(𝑾)

𝒕𝒐 = πŸ– + 14 = 22

𝒕𝒇 = 𝒕𝒐 + 𝑡 – 𝟏

𝑹

𝒕𝒇 = 𝟐𝟐 + πŸ”πŸ“ – 𝟏

𝟐 = 54

Page 7: Lob management

Unit Time

Time

24

8

R

22

54

w

Page 8: Lob management

For Activity (x) : R(x) > 𝑹(R) 8 4

𝒕𝒇(𝒙) = 𝒕𝒇 (𝑹) + 𝑫𝑿

𝒕𝒇 = πŸπŸ’ + 20 = 44

𝒕𝒐 = 𝒕𝒇 - 𝑡 – 𝟏

𝑹

𝒕𝒐 = πŸ’πŸ’ - πŸ”πŸ“ – 𝟏

πŸ– = 36

Page 9: Lob management

Unit Time

Time

24

8

R

22

54

w

36

44

X

Page 10: Lob management

For Activity (Y) : R(Y) = 𝑹(R) 4 4

𝒕𝒇(𝒀) = 𝒕𝒇 (𝑹) + 𝑫𝒀

𝒕𝒇 = πŸπŸ’ + 12 = 36

𝒕𝒐 = 𝒕𝒇 - 𝑡 – 𝟏

𝑹

𝒕𝒐 = πŸ‘πŸ” - πŸ”πŸ“ – 𝟏

πŸ’ = 20

Page 11: Lob management

Unit Time

Time

24

8

R

22

54

w

36

44

X

36

20

Y

Page 12: Lob management

1) Act. (Z) with Act. (X)

R(Z) < 𝑹(𝑿) 4 8 π’•πŸŽ(𝒛) = 𝒕𝒐 (𝒙) + 𝑫𝒁

𝒕𝒐 = πŸ‘πŸ” + 10 = 46

𝒕𝒇 = 𝒕𝒐 + 𝑡 – 𝟏

𝑹

𝒕𝒇 = πŸ’πŸ” + πŸ”πŸ“ – 𝟏

πŸ’ = 62

2) Act. (Z) with Act. (w)

R(Z) > 𝑹(𝑾) 4 2 𝒕𝒇(𝒁) = 𝒕𝒇 (𝑾) + 𝑫𝒁

𝒕𝒇 = πŸ“πŸ’ + 10 = 64

𝒕𝒐 = 𝒕𝒇 - 𝑡 – 𝟏

𝑹

𝒕𝒐 = πŸ”πŸ’ - πŸ”πŸ“ – 𝟏

πŸ’ = 48

For Activity (Z):

Page 13: Lob management

Unit Time

Time

24

8

R

22

54

w

36

44

X

36

20

Y

64

48

Z

Page 14: Lob management

Unit Time

Time

24

8

R

22

54

w

36

44

X

36

20

Y

64

48

Z

46

46

N = ???

Page 15: Lob management

w

46

46

N = ???

Time

Time

22

54

R = π‘΅βˆ’πŸ

π’•π’‡βˆ’ 𝒕𝒐

2 = π‘΅βˆ’πŸ

πŸ’πŸ”βˆ’πŸπŸ

N =49

Page 16: Lob management

2) The project situation at 46th week. Activities R, Y AND X has been finished Activity W finished in 49 unit Activity Z not finished yet in any unit

Page 17: Lob management

Unit Time

Time

24

8

R

24

54

w

36

44

X

36

20

Y

64

48

Z

60

60

N = ???

Page 18: Lob management

Unit Time

Time

48

Z

60

60 64

N = 49

N = 39

π‘Ήπ’π’†π’˜=

πŸ”πŸ“ βˆ’πŸ‘πŸ—πŸ”πŸ’ βˆ’ πŸ”πŸŽ

=6.5

𝑹𝒐𝒍𝒅

π’•π’‡π’π’†π’˜

𝑹𝒐𝒍𝒅= πŸ‘πŸ—βˆ’πŸ

πŸ”πŸŽβˆ’πŸ’πŸ– = 3.1666 < 4