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:
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Rate
$/Ton Mile
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Tons
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Coordinates
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x
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y
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A
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1.30
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300
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700
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1200
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B
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0.95
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400
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250
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600
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C
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0.85
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600
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225
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825
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D
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1.20
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323
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600
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500
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E
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1.30
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230
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1050
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1200
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F
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0.80
|
120
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800
|
300
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G
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0.90
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400
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925
|
975
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H
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1.23
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300
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1000
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1080
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Problem 2 Facility layout
Assume the following office plan among different departments.
The average number of contacts among departments per week is indicated below:
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Adm
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R&D
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Prog
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Design
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Sales
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Cons
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Adm
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-
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2
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8
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6
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20
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10
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R&D
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-
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30
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50
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40
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20
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Prog
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-
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50
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10
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70
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Design
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-
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20
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30
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Sales
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-
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50
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Cons
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-
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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
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MPS Quantities
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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Gross Requirements (Α)
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-
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30
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-
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50
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-
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200
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-
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120
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180
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60
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Table 2: Lead times, lot sizing rules, on-hand inventory
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Item
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Lead Time
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Lot sizing rule
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On-hand inventory
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A
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2 weeks
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Lot-for-lot
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40
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B
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1 week
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Fixed Order Period = 3 weeks
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20
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C
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2 weeks
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Lot-for-lot
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20
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D
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3 weeks
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Fixed Order Quantity = 500 units
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300
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Determine the material requirement plan (fill the following tables).
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Item: A
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Production Lead Time: 2 weeks
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Lot size rule: Lot-for-Lot
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Week No.
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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Gross Requirements
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Adjusted Scheduled Receipts
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Projected on-hand 40
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Net Requirements
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Planned order receipt
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Planned order release
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Item: B
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Production Lead Time: 1 week
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Lot size rule: FOP (P=3 weeks)
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Week No.
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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Gross Requirements
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Adjusted Scheduled Receipts
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Projected on-hand 20
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Net Requirements
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Planned order receipt
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Planned order release
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Item: C
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Production Lead Time: 2 week
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Lot size rule: Lot-for-Lot
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Week No.
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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Gross Requirements
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Adjusted Scheduled Receipts
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Projected on-hand 20
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Net Requirements
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Planned order receipt
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Planned order release
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Item: D
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Production Lead Time: 3 weeks
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Lot size rule: FOQ (Q=500)
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Week No.
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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Gross Requirements
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Adjusted Scheduled Receipts
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Projected on-hand 300
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Net Requirements
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Planned order receipt
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Planned order release
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