ÖDEV İLE İLGİLİ AÇIKLAMALAR…

2012 BAHAR Yöneylem Araştırması II “ÖDEV” i ile ilgili açıklamalar

• Ödev hazırlarken kullanılacak dil Türkçe olacak. • Problemler Türkçe’ye tercüme edilecek. • Her grup kendisine atanmış olan ÖDEV’i çözecek. • Ödevler bilgisayar ortamında Word dokümanı olarak hazırlanacaktır. • ÖDEV kapağı olarak ekteki kapak formatı kullanılacaktır. • ÖDEV’in son teslim tarihi “14 Haziran 2012” Perşembe saat : 16:00’ya kadardır. Bu

tarih ve saatten sonra getirilen ödevler teslim alınmayacaktır. • Ödevler asistanım Ar.Gör.Serhat Tüzün’e teslim edilecektir.

Başarılar Dileriz… Y.Doç.Dr.Tufan Demirel Ar.Gör.Serhat Tüzün

ÖDEV LİSTELERİ…

NO AD SOYAD ÖDEV GRUBU05052059 MEHMET KAYA07065116 ENES ACAR08061003 KAMURAN BENLİOĞLU08061004 FATİH DOĞAN08061014 UĞUR YİĞİT08061020 MEHMET DOĞAN08061022 ÖMER KEMAL TANRIKULU08061034 M. FATİH YÜCEL08061039 ENES GEZER08061040 LÜTFÜ KOÇOĞLU08061050 GAREN GERGERLİ08061051 HAKAN UYSAL08061072 HALUK ŞEHİRLİ08062025 CANSU ARZUOĞLU08062042 ÖZGE KOÇER08062053 KÜBRA AVCI08062065 SARE BELKIS KEŞ08062069 UĞUR YİĞİT09061002 FATİH SÖNMEZ09061007 HAYRİYE HAŞİMOĞLU09061011 BURAK YAKAR09061019 MÜGE GÜRAY09061020 YİĞİT ERDİM09061021 ENSAR BOZTAŞ09061024 NERGİZ TÜRKMEN09061026 BURCU DERİN09061028 VOLKAN KARAGÖZ09061030 İLYAS UMUT VAROL09061032 ALPER GÜLER09061043 BETÜL EĞLENOĞLU09061046 CANSIN ALATAŞ09061056 GÖZDE BAHÇACI09061064 ÖMER FARUK ARIK09061071 BENAN ÜZMEZ09061605 YASEMIN KUŞ09061804 EROL KÖK09062010 MERVE KAHRAMAN09062018 GÜZİDE DENİZ ATAY09062026 ECEM NUR ÖZTEKİN09062031 NEBAHAT KARAKAŞ09062038 BERTAN CAN DURSUN09062040 ANIL KOÇHAN09062052 YAĞMUR ERCİNS10061055 ONUR CILASUN10061601 GÜLÇİN AKMANDOR10061603 MERVE DÖVER10061607 BATUHAN ALPER DURMUŞOĞLU11062604 ESRA ERGİN07055007 GÖKHAN APAYDIN

C

A

C

A

B

C

A

B

A

B

C

A

B

C

A

B

13

14

15

16

7

8

9

10

11

12

1

2

3

4

5

6

07061009 MERVE KARACA07061014 YUNUS EMRE ERTÜRK07061034 MÜJDE KEÇELİ07061057 ABDULLAH ÇETİN09061810 MAHMUT AKBULUT07066086 ANIL TÜRK08061032 KAZIM YANMAZ08061047 MUSTAFA KEMAL ÇELİK08061057 SAFA MERVE ÇİLESİZ08061065 UMUT ERDOĞAN08061069 SELMAN BOZAN08062001 ARCA ÇAKMAKOĞLU08062012 KAAN ALTUNIŞIK08062013 GÖRKEM TİLEYLİOĞLU08062018 MERT AKTUNA08062020 ÖZGE SOYCAN08062021 SERHAN SEMERCİ08062028 DENİZ GÜNEŞ08062031 YUSUF ÇETİNER08062034 ELİF AKÇA08062046 SAMET TANBAŞI08062052 İSMAİL TOPALOĞLU08062057 BURCU DENİZ TÜLEK08062061 M. ABDÜLHAKİM YAZICI08062066 MEVLÜT FURKAN MOL08062502 MELTEM DEMİR09061008 ADEM ERGÜVENÇ09061017 İSMAİL SEVİM09061029 FATMA CEYHAN09061059 GÜLŞAH EKİCİ09061065 RANA HAYDAROĞLU09062006 ÖZGE ERDOĞDU09062012 ZAİT COŞKUN09062021 CANSU BURCU BAHÇECİK09062024 ZEYNEP BUŞRA COŞKUN09062028 ALİ KARAŞAN09062039 KADRİYE SELİN GÜNGÖR09062043 CEMRE TURAN09062049 BEYTULLAH KÖSENCİĞ09062056 YASİN ERKAYA09062067 SEVGİ YILDIZOĞLU09062072 ÇAĞLA ZEYNEP KARAKAYA10062050 EMRE ZAFER GÜNEY10062057 MERVE ŞİMŞEK04062043 NAZAR ÇAKIR07061024 SABRİYE BULUT07061028 EDİZ KATIKCI09061815 TANER İLBEYLİ09062802 HASAN YÜKSEL08061001 ÖMER EMRE KARACA

C

C

A

B

C

A

B

C

A

B

C

A

B

B

C

A

B

31

32

33

25

26

27

28

29

30

19

20

21

22

23

24

17

18

08061008 TÜLAY GÜMÜŞÇÜ08061017 ELİF MERVE BİLİCİ08061024 MEHMET ŞİRİN ADANIR08061025 FURKAN ÖZÜDOĞRU08061045 TÜLAY VURAL08061056 ENGÜR YAĞCIOĞLU08061058 BURCU KOÇAK08061068 FATMA KURTULUŞ08061070 REMZİ TURAN08061503 MEHMET ONUR UYAR08061505 MEHMET ALEGÖZ08062009 GÜLİN SÖNMEZ09061022 İBRAHİM ETHEM ATILGAN09061037 MERVE ASLANTEKİN09061040 BİLLUR TANRIVERDİ09061042 MUSTAFA ŞAHİN09061057 MURAT ÇOLAK09061058 ELİF EYLÜL ÇINARDAL09061063 DİLARA ALBAL09061068 ESRA GÖK09061072 BURCU ATAY09062009 GİZEM DEREBEY09062025 TUĞÇE GİDİŞ09062027 ELİF HALİLOĞLU09062501 FATİH SAN09062605 FATMA ÖGEDAY09062801 ÖNER BAŞOL10062001 SEZAİ SERTTAŞ10062011 HATİCE UZUN10062606 HÜMEYRA BALTA11061602 FEYZA GÜNAL11061805 ÇAĞATAY GÜVEN04062018 ERDAL ÇELEBİ05062056 ÖNER DİNÇER06061032 UMUT BARIŞ ÇAKIRER07061008 MELİH PINARLI07061015 FAHRİ AYDIN09062805 EYÜP AKBIYIK09062812 RAMAZAN BİNA11062805 ALİ ŞİŞMANFARABİ ESRA TAŞDEMİRFARABİ SENA MİSKİNOĞLU09061604 TANYA HAZAL KAYSOYDU09061812 ELVAN ÇAKIR ERDUR05062042 İLYAS DUMAN08062040 ERSİN TANIR09062803 ALPARSLAN KOÇUBEZ04061015 ESER DURAK05061035 CANER ŞEN08062044 ASLINUR DİKBAŞ

C

A

B

C

A

B

C

A

B

C

A

B

A

B

C

A

B

49

50

43

44

45

46

47

48

37

38

39

40

41

42

34

35

36

10062801 HALİL SANCAR

YÖNEYLEM ARAŞTIRMASI II ÖDEVİ

HAZIRLAYANLAR NO ADI ve SOYADI NO ADI ve SOYADI NO ADI ve SOYADI

YILDIZ TEKNİK ÜNİVERSİTESİ ENDÜSTRİ MÜHENDİSLİĞİ BÖLÜMÜ

İstanbul 2012

ÖDEV GRUP A

CASE 1A

The Walker Portland Company is currently in the process of planning to construct a new warehouse facility to reduce the company’s inventory storage problems. Most of the work will be performed by the company’s own construction division, but certain portions of the project, such as electrical and plumbing work, will be subcontracted.

Assume you have been retained by the company as a consultant to aid in the planning and administrative control of the project. You have decided to use PERT to perform this function. Before beginning the PERT network, you called a meeting with the company’s construction division. Together, you have prepared a series of time estimates for the various separate portions of the project. These estimates are given in the table.

Activity Code Activity

Optimistic Time*

Most Likely Time*

Pessimistic Time*

A Obtain corporate management approval 2 5 8 B Complete subcontractor negotiations 1 3 7

C Grade building site and excavate for foundation 5 7 9

D Procure structural steel for framework 10 15 20 E Procure concrete for foundation 1 3 5 F Procure exterior window and door frames 5 7 11

G Procure supplies for exterior walls and roofing 1 3 5

H Pour concrete for foundation 9 10 15 I Pour building footings 4 5 10 J Erect steel framework 8 11 14 K Pour floor slab and lay concrete flooring 5 9 13 L Erect exterior walls 21 24 27 M Pour roof slab 9 12 15 N Lay roofing 2 3 8 O Electrical work - subcontracted 8 10 14 P Plumbing - subcontracted 7 10 13 Q Install insulation and interior walls 10 15 20 R Paint interior 3 5 9 S Install fuel tank and heating system 8 10 16 T Excavate and lay sewer drain 5 8 11 U Driveway and parking lot - subcontracted 9 12 15 V Backfill around building and grade 6 8 10 W Clean up building and grounds 2 2 2 X Obtain job acceptance 3 5 9

*Only working days, 5 days a week

In addition, a discussion was made for how these activities should be sequenced. During the discussion, you made the following notes:

• Corporate management approval must be obtained before any work or procurement of supplies can begin.

• Procurement of materials and subcontracting negotiations can begin as soon as approval is obtained.

• Grading can begin as soon as subcontracting negotiations are completed.

• Foundation can be poured following excavations and after concrete arrives.

• Building footings can be poured as soon as excavation work is completed.

• Framework must be erected in conjunction with (simultaneously) pouring of building footings.

• Floor slab can be poured at completion of foundation pouring. Extra time is allowed in estimates for safety reasons so that floor work does not interfere with framework construction.

• Exterior walls can be put up following completion of steel framework and arrival of supplies.

• Roof can be installed after steel framework is up. Roof slab pouring must precede roofing installation.

• Electrical and plumbing work can commence as soon as steel framework is up.

• Insulation and interior walls can be put up after electrical and plumbing work.

• Interior painting must await installation of interior walls.

• Work for sewer drain, driveway and parking lot can begin as soon as building site is graded and excavated. Final backfilling and grading must await completion of these activities.

• Installation of fuel oil tank and heating system must be started after the foundation has been poured. It must be completed before the interior walls are put in.

• Cleanup is the final work before job acceptance. Company management has requested your PERT analysis be included with the proposal that

comes before them. They also would like the probability of finishing the project in 65 days. After solving the problem, review the network and determine if there can be any changes

made on the critical path and other activities. Explain your suggestion with your own comments. CASE 2

A company deals with a seasonal item, for which the monthly demand fluctuates appreciably. The table below provides demand data (in number of units). Because of the fluctuations in demand, the inventory control manager has chosen a policy that orders the item quarterly on January 1, April 1, July 1, and October 1.The order size covers the demand for each quarter. The lead-time between placing an order and receiving it is 3 months. Estimates for the current year’s demand are taken equal to the demand for year 5, plus an additional 10% safety factor.

A new staff member believes that a better policy can be determined by using the economic order quantity based on the average monthly demand for the year. Fluctuations in demand can be “smoothed” out by placing orders to cover the demands for consecutive months, with the size of each order approximately equal to the economic lot size. Unlike the manager, the new staff member believes that the estimates for next year’s demand should be based on the average of years 4 and 5.

The company bases its inventory computations on a holding cost of $.50 per unit inventory per month. A setup cost of $55 is incurred when a new order is placed.

Suggest an inventory policy for the company.

CASE 3

A company manufactures a final product that requires the use of a single component. The company purchases the component from an outside supplier. The demand rate for the final product is constant at about 20 units per week. Each unit of the final product uses 2 units of the purchased component. In the table below, inventory data are available. Unfilled demand of the final product is backlogged and costs about $8 per lost unit per week. Shortage in the purchased component is not expected to occur. Devise an ordering policy for the purchase of the component and the production of the final product.

ÖDEV GRUP B

CASE 1B

Peterson General Contractor is currently preparing a bid for the erection of a 225-foot television antenna tower and the construction of a building adjacent to the tower that will be used to house transmission and electrical equipment. Peterson is bidding only on the tower and its electrical equipment, the building, the connection cable between tower and building, and site preparation. Transmission equipment and other equipment to be housed in the building are not to be included in the bid and will be obtained separately by the TV station. The site for the tower is at the top of a hill to minimize the required height of the tower and near a main road.

The TV station management was very concerned about time factor. It requested bids be prepared on the basis of time for completing the job. During the conference between Peterson’s estimator and general foreman, the activities that would be necessary to complete the job were determined. The estimator then prepared time estimates for the activities as shown in the following table.

Activity Code Activity

Most Likely Time*

Optimistic Time*

Pessimistic Time*

1 Sign contract and complete subcontractor negotiations 5 5 5

2 Survey site 6 4 8 3 Grade building site and excavate for basement 8 6 10 4 Grade tower site 30 21 39 5 Procure structural steel for tower 85 85 85

6 Procure electrical equipment for tower and connecting underground cable 120 120 120

7 Pour concrete for tower footings and anchors 42 25 59 8 Erect tower and install electrical equipment 38 25 51 9 Install connecting cable in tower site 8 4 12

10 Install drain tile and storm drain in tower site 35 18 52 11 Backfill and grade tower site 8 4 12 12 Pour building footings 29 21 37 13 Pour basement floor slab and fuel tank slab 14 11 17 14 Pour outside basement walls 34 30 38 15 Pour walls for basement rooms 9 7 11 16 Pour concrete floor beams 11 10 12 17 Pour main floor slab and lay concrete block walls 12 10 14 18 Pour roof slab 15 13 17 19 Complete interior framing and utilities 42 30 54 20 Lay roofing 3 2 4 21 Paint building interior, install fixtures and clean up 19 13 25 22 Install main cable between tower site and building 35 25 45 23 Install fuel tank 3 2 4 24 Install building septic tank 12 8 16 25 Install drain tile and storm drain in building site 15 10 20

26 Backfill around building, grade, and surface with crushed rock 9 7 11

27 Lay base for connecting road between tower and building 15 13 17

28 Complete grading and surface connecting road 8 5 11 29 Clean up tower site 5 3 7 30 Clean up building site 3 2 4 31 Obtain job acceptance 5 5 5

*Only working days, 5 days a week

In addition, a discussion was made for how these activities should be sequenced. During the discussion, you made the following notes:

• Corporate management approval must be obtained before any work or procurement of supplies can begin.

• Procurement of materials and subcontracting negotiations can begin as soon as approval is obtained.

• Grading can begin as soon as subcontracting negotiations are completed.

• Foundation can be poured following excavations and after concrete arrives.

• Building footings can be poured as soon as excavation work is completed.

• Framework must be erected in conjunction with (simultaneously) pouring of building footings.

• Floor slab can be poured at completion of foundation pouring. Extra time is allowed in estimates for safety reasons so that floor work does not interfere with framework construction.

• Exterior walls can be put up following completion of steel framework and arrival of supplies.

• Roof can be installed after steel framework is up. Roof slab pouring must precede roofing installation.

• Electrical and plumbing work can commence as soon as steel framework is up.

• Insulation and interior walls can be put up after electrical and plumbing work.

• Interior painting must await installation of interior walls.

• Work for sewer drain, driveway and parking lot can begin as soon as building site is graded and excavated. Final backfilling and grading must await completion of these activities.

• Installation of fuel oil tank and heating system must be started after the foundation has been poured. It must be completed before the interior walls are put in.

• Cleanup is the final work before job acceptance. Company management has requested your PERT analysis be included with the proposal that

comes before them. They also would like the probability of finishing the project in 65 days. After solving the problem, review the network and determine if there can be any changes

made on the critical path and other activities. Explain your suggestion with your own comments. CASE 2

A company deals with a seasonal item, for which the monthly demand fluctuates appreciably. The table below provides demand data (in number of units). Because of the fluctuations in demand, the inventory control manager has chosen a policy that orders the item quarterly on January 1, April 1, July 1, and October 1.The order size covers the demand for each quarter. The lead-time between

placing an order and receiving it is 3 months. Estimates for the current year’s demand are taken equal to the demand for year 5, plus an additional 10% safety factor.

A new staff member believes that a better policy can be determined by using the economic order quantity based on the average monthly demand for the year. Fluctuations in demand can be “smoothed” out by placing orders to cover the demands for consecutive months, with the size of each order approximately equal to the economic lot size. Unlike the manager, the new staff member believes that the estimates for next year’s demand should be based on the average of years 4 and 5.

The company bases its inventory computations on a holding cost of $.50 per unit inventory per month. A setup cost of $55 is incurred when a new order is placed.

Suggest an inventory policy for the company.

CASE 3

A company manufactures a final product that requires the use of a single component. The company purchases the component from an outside supplier. The demand rate for the final product is constant at about 20 units per week. Each unit of the final product uses 2 units of the purchased component. In the table below, inventory data are available. Unfilled demand of the final product is backlogged and costs about $8 per lost unit per week. Shortage in the purchased component is not expected to occur. Devise an ordering policy for the purchase of the component and the production of the final product.

ÖDEV GRUP C

CASE 1C

Moore Housing Contractors is negotiating a deal with Countryside Realtors to build six houses in a new development. Countryside wants Moore to start in late winter or early spring when the weather begins to moderate and build through summer into the fall. The summer months are a busy time for Realty Company, and it believes it can sell the houses almost as soon as they are ready – sometimes before. The houses all have similar floor plans and are approximately equal size; only exteriors are noticeably different. The completion time is critical for Countryside Realtors that it is insisting a project management network accompany the contractor’s bid for the job with an estimate of the completion time for a house. The realtor also needs to be able to plan its offerings and marketing plan for the summer. The realtor wants each house to be completed within 45 days after it is started. If a house is not completed within this frame, the realtor wants to be able to charge the contractor with a penalty. On the other hand, Moore wants to be confident they can meet the deadline for a house before entering into any agreement. If there is a reasonable likelihood they cannot finish a house within 45 days, they want to increase their bid to cover potential penalty charges.

Moore listed the activities involved in building a house and estimated activity times in the following table. However, they made their estimates conservatively and tended to increase their pessimistic estimates to compensate for the possibility of bad weather and variations in workforce.

Activity Code TIME (Days)

Activity Predecessors Optimistic Most Likely Pessimistic a Excavation, pour footers - 3 4 6 b Lay foundation a 2 3 5 c Frame and roof b 2 4 5 d Lay drain tiles b 1 2 4 e Sewer (floor) drains b 1 2 3 f Install insulation c 2 4 5 g Pour basement floor e 2 3 5 h Rough plumbing, pipes e 2 4 7 i Install windows f 1 3 4 j Rough electrical wiring f 1 2 4 k Install furnace, air conditioner c, g 3 5 8 l Exterior brickwork i 5 6 10

m Install plasterboard, mud, plaster j, h, k 6 8 12 n Roof shingles, flashing l 2 3 6 o Attach gutter, downspouts n 1 2 5 p Grading d, o 2 3 7 q Lay subflooring m 3 4 6 r Lay driveway, walks, landscape p 4 6 10 s Finish carpentry q 3 5 12

t Kitchen cabinetry, sink and appliances q 2 4 8

u Bathroom cabinetry, fixtures q 2 3 6 v Painting (interior and exterior) t, u 4 6 10 w Finish wood floors, lay carpet v, s 2 5 8 x Final electrical, light fixtures v 1 3 4

Moore has requested your opinions on the matter. So, develop a CPM/PERT network and

determine the probability that the contractors can complete a house within 45 days. Does it appear that Moore might need to increase their bid to compensate for potential penalties?

Indicate which project activities Moore Contractors should be particularly diligent to keep on schedule by making sure workers and materials are always available. Also indicate which activities the company might shift workers from as the need arises.

After solving the problem, review the network and determine if there can be any changes made on the critical path and other activities. Explain your suggestion with your own comments. CASE 2

A company deals with a seasonal item, for which the monthly demand fluctuates appreciably. The table below provides demand data (in number of units). Because of the fluctuations in demand, the inventory control manager has chosen a policy that orders the item quarterly on January 1, April 1, July 1, and October 1.The order size covers the demand for each quarter. The lead-time between placing an order and receiving it is 3 months. Estimates for the current year’s demand are taken equal to the demand for year 5, plus an additional 10% safety factor.

A new staff member believes that a better policy can be determined by using the economic order quantity based on the average monthly demand for the year. Fluctuations in demand can be “smoothed” out by placing orders to cover the demands for consecutive months, with the size of each order approximately equal to the economic lot size. Unlike the manager, the new staff member believes that the estimates for next year’s demand should be based on the average of years 4 and 5.

The company bases its inventory computations on a holding cost of $.50 per unit inventory per month. A setup cost of $55 is incurred when a new order is placed.

Suggest an inventory policy for the company.

CASE 3

A company manufactures a final product that requires the use of a single component. The company purchases the component from an outside supplier. The demand rate for the final product is constant at about 20 units per week. Each unit of the final product uses 2 units of the purchased component. In the table below, inventory data are available. Unfilled demand of the final product is backlogged and costs about $8 per lost unit per week. Shortage in the purchased component is not expected to occur. Devise an ordering policy for the purchase of the component and the production of the final product.