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Problem 1 Facility Location

A big retail chain needs to find the best location to build new warehouse. The new warehouse will mainly serve on a weekly basis 8 stores in the northeast.

Using Euclidian distances compute the center of gravity and calculate the total transportation cost.

The following information has been collected for the 8 stores:

 

 

Rate

$/Ton Mile

Tons

Coordinates

 



x

y

A

1.30

300

700

1200

B

0.95

400

250

600

C

0.85

600

225

825

D

1.20

323

600

500

E

1.30

230

1050

1200

F

0.80

120

800

300

G

0.90

400

925

975

H

1.23

300

1000

1080

Problem 2 Facility layout

Assume the following office plan among different departments.

1199_Materials Requirements Planning.png

The average number of contacts among departments per week is indicated below:

 

Adm

R&D

Prog

Design

Sales

Cons

Adm

-

2

8

6

20

10

R&D

 

-

30

50

40

20

Prog

 

 

-

50

10

70

Design

 

 

 

-

20

30

Sales

 

 

 

 

-

50

Cons

 

 

 

 

 

-

Compute the total "load-distance" LD score for the current solution, and then try to find an improved layout.

Problem 3 Materials Requirements Planning

A manufacturing plant produces an end-item A, according to the following bill of materials:

2259_Materials Requirements Planning1.png

The MPS for the end-item A is given in table 1. The manufacturing / assembly lead times, the lot sizing rules, and the current on-hand inventory for all constituting items are given in table 2. There are scheduled receipts for item C at week 1 (100 pieces) and for item D at week 3 (80 pieces).

Table 1: MPS Quantities

MPS Quantities

1

2

3

4

5

6

7

8

9

10

Gross Requirements (Α)

-

30

-

50

-

200

-

120

180

60

Table 2: Lead times, lot sizing rules, on-hand inventory

Item

Lead Time

Lot sizing rule

On-hand inventory

A

2 weeks

Lot-for-lot

40

B

1 week

Fixed Order Period = 3 weeks

20

C

2 weeks

Lot-for-lot

20

D

3 weeks

Fixed Order Quantity = 500 units

300

Determine the material requirement plan (fill the following tables).

Item: A

Production Lead Time: 2 weeks

Lot size rule:  Lot-for-Lot

Week No.

1

2

3

4

5

6

7

8

9

10

Gross Requirements

 

 

 

 

 

 

 

 

 

 

Adjusted Scheduled Receipts

 

 

 

 

 

 

 

 

 

 

Projected on-hand       40

 

 

 

 

 

 

 

 

 

 

Net Requirements

 

 

 

 

 

 

 

 

 

 

Planned order receipt

 

 

 

 

 

 

 

 

 

 

Planned order release

 

 

 

 

 

 

 

 

 

 













 

Item: B

Production Lead Time: 1 week

Lot size rule:   FOP (P=3 weeks)

Week No.

1

2

3

4

5

6

7

8

9

10

Gross Requirements

 

 

 

 

 

 

 

 

 

 

Adjusted Scheduled Receipts

 

 

 

 

 

 

 

 

 

 

Projected on-hand       20

 

 

 

 

 

 

 

 

 

 

Net Requirements

 

 

 

 

 

 

 

 

 

 

Planned order receipt

 

 

 

 

 

 

 

 

 

 

Planned order release

 

 

 

 

 

 

 

 

 

 













 

Item: C

Production Lead Time: 2 week

Lot size rule:  Lot-for-Lot

Week No.

1

2

3

4

5

6

7

8

9

10

Gross Requirements

 

 

 

 

 

 

 

 

 

 

Adjusted Scheduled Receipts

 

 

 

 

 

 

 

 

 

 

Projected on-hand     20

 

 

 

 

 

 

 

 

 

 

Net Requirements

 

 

 

 

 

 

 

 

 

 

Planned order receipt

 

 

 

 

 

 

 

 

 

 

Planned order release

 

 

 

 

 

 

 

 

 

 













 

Item: D

Production Lead Time: 3 weeks

Lot size rule: FOQ (Q=500)

Week No.

1

2

3

4

5

6

7

8

9

10

Gross Requirements

 

 

 

 

 

 

 

 

 

 

Adjusted Scheduled Receipts

 

 

 

 

 

 

 

 

 

 

Projected on-hand     300

 

 

 

 

 

 

 

 

 

 

Net Requirements

 

 

 

 

 

 

 

 

 

 

Planned order receipt

 

 

 

 

 

 

 

 

 

 

Planned order release

 

 

 

 

 

 

 

 

 

 













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