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On the optimal switching level for an M/G/1 queueing system

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  • Cohen, J. W.

Abstract

A cost function is studied for an M/G/1 queueing model for which the service rate of the virtual waiting time process Ut for Ut K. The costs considered are costs for maintaining the service rate, costs for switching the service rate and costs proportional to the inventory Ut. The relevant cost factors for the system operating below level K differ from those when Ut > K. The cost function which is considered only for the stationary situation of the Ut-process expresses the average cost per unit time. The problem is to find that K for which the cost function reaches a minimum. Criteria for the possibly optimal cases are found; they have an interesting intuitive interpretation, and require the knowledge of only the first moment of the service time distribution.

Suggested Citation

  • Cohen, J. W., 1976. "On the optimal switching level for an M/G/1 queueing system," Stochastic Processes and their Applications, Elsevier, vol. 4(3), pages 297-316, August.
    • Handle: RePEc:eee:spapps:v:4:y:1976:i:3:p:297-316
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    Cited by:

    1. van Ooijen, H. P. G. & Bertrand, J. W. M., 2003. "The effects of a simple arrival rate control policy on throughput and work-in-process in production systems with workload dependent processing rates," International Journal of Production Economics, Elsevier, vol. 85(1), pages 61-68, July.

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