Exercise 17 Transportation and Assignment Problems A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution. 2. Use the Stepping-Stone Method to find the minimal shipping costs. Warehouse Factory XYZ Capacity A 223 4 216 6 134 8 Demand 2 5 11 3. A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W, X, Y, and Z). The distance in kilometers between the taxis and the customers are given in the table below. Use the Hungarian Method to assign the taxis to customers so that the distance needed to pick them up is a minimum. Customer Taxi WX YZ A 10 8 4 6 B 6 4 12 8 C 14 10 8 2 D 4 14 10 8

Exercise 17 Transportation and Assignment Problems A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution. 2. Use the Stepping-Stone Method to find the minimal shipping costs. Warehouse Factory XYZ Capacity A 223 4 216 6 134 8 Demand 2 5 11 3. A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W, X, Y, and Z). The distance in kilometers between the taxis and the customers are given in the table below. Use the Hungarian Method to assign the taxis to customers so that the distance needed to pick them up is a minimum. Customer Taxi WX YZ A 10 8 4 6 B 6 4 12 8 C 14 10 8 2 D 4 14 10 8

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 10P

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