A company had three factories that supply to three markets. The transportation costs from each factory to each market are given in the table. Capacities of the factories and market requirements are shown. Find the minimum transportation cost. 9. а) M1 2 M2 1 M3 3 aj 20 F1 F2 F3 1 2 30 1 2 10 bị 10 10 20 40/60

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Solve 9 a and b

A company had three factories that supply to three markets. The transportation costs from each
factory to each market are given in the table. Capacities of the factories and market
requirements are shown. Find the minimum transportation cost.
9. а)
М
M2
M3
3
aj
2
1
20
F1
F2
F3
bị
1
3
30
2
1
2
10
10
10
20
40/60
b)
For a multi-channel queueing system with 2 = 12/hours, µ = 5/hours, c = 3, po = 0.056 ,
calculate
i) The average time a customer is in the system
ii) The average number of customers in the system
iii) whether any time would be saved for customers if the three-channel system with the
service rate of 5 per hour is replaced by a single-channel system with an average service
rate of 15 per hour?
Transcribed Image Text:A company had three factories that supply to three markets. The transportation costs from each factory to each market are given in the table. Capacities of the factories and market requirements are shown. Find the minimum transportation cost. 9. а) М M2 M3 3 aj 2 1 20 F1 F2 F3 bị 1 3 30 2 1 2 10 10 10 20 40/60 b) For a multi-channel queueing system with 2 = 12/hours, µ = 5/hours, c = 3, po = 0.056 , calculate i) The average time a customer is in the system ii) The average number of customers in the system iii) whether any time would be saved for customers if the three-channel system with the service rate of 5 per hour is replaced by a single-channel system with an average service rate of 15 per hour?
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