The arrival rate for a waiting-line system obeys Posson distribution with a mean of 0.5 unit per period. It is required that the probability of one or more units un the system not exceed 0.20. If the cost of waiting is $5.00 per unit period, and the service facility cost $2.50 per unit served, what is the total system cost? If the service rate is Doubled at a total cost of $3.50 per unit served what is the total system cost?

The arrival rate for a waiting-line system obeys Posson distribution with a mean of 0.5 unit per period. It is required that the probability of one or more units un the system not exceed 0.20. If the cost of waiting is $5.00 per unit period, and the service facility cost $2.50 per unit served, what is the total system cost? If the service rate is Doubled at a total cost of $3.50 per unit served what is the total system cost?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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