(b) A transport company engaged in carrying parcels has three branches to serve five customers. This distance (km) from each branch to each of the customers is given below: Branches Customers Number of trucks A. D E available 10 12 9. 15 II 4. 4 6. 6. 12 III 15 11 13 8 16 2 Number of trucks required Find out using Vogel's Approximation Method (VAM) the allocation of trucks from branches to customers in order to minimize the total cost of transportation assuming that the cost is proportional to distance. What is the minimum required distance (km) to be run by the trucks? i. ii. iii. If an arrival of a V.V.LP. blocks the traffic from branch II to customers D and E, what should be the optimal allocation in order to minimize the total transportation cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 32P
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(b) A transport company engaged in carrying parcels has three branches to serve five
customers. This distance (km) from each branch to each of the customers is given below:
Branches
Customers
Number of
trucks
A
B.
D
E
available
10
8
12
15
II
4.
4
6.
6.
7
12
III
15
11
13
8
16
2
Number
8.
7
of
trucks
required
i.
Find out using Vogel's Approximation Method (VAM) the allocation of trucks
from branches to customers in order to minimize the total cost of transportation
assuming that the cost is proportional to distance.
What is the minimum required distance (km) to be run by the trucks?
ii.
If an arrival of a V.V.LP. blocks the traffic from branch II to customers D and E,
what should be the optimal allocation in order to minimize the total transportation
cost?
iii.
Transcribed Image Text:(b) A transport company engaged in carrying parcels has three branches to serve five customers. This distance (km) from each branch to each of the customers is given below: Branches Customers Number of trucks A B. D E available 10 8 12 15 II 4. 4 6. 6. 7 12 III 15 11 13 8 16 2 Number 8. 7 of trucks required i. Find out using Vogel's Approximation Method (VAM) the allocation of trucks from branches to customers in order to minimize the total cost of transportation assuming that the cost is proportional to distance. What is the minimum required distance (km) to be run by the trucks? ii. If an arrival of a V.V.LP. blocks the traffic from branch II to customers D and E, what should be the optimal allocation in order to minimize the total transportation cost? iii.
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