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. ii. What is the minimum required distance (km) to be run by the trucks? If an anrival of a V.V.IP. blocks the traffic from branch II to customers D and E, what should be the optimal allocation in order to minimize the total transportation 111. 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 30P
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A transport company engaged in carying 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
C
trucks
available
I
10
12
6.
15
II
4.
4.
6.
6.
7.
12
III
15
7.
11
13
8.
16
Number of
4.
6.
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?
i.
If an amival of a V.V.I.P. 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?
111.
8.
Transcribed Image Text:A transport company engaged in carying 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 C trucks available I 10 12 6. 15 II 4. 4. 6. 6. 7. 12 III 15 7. 11 13 8. 16 Number of 4. 6. 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? i. If an amival of a V.V.I.P. 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? 111. 8.
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