Problem 1 facility location a big retail chain needs to

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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.

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:

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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