Optimal Control of a Service Facility with Variable Exponential Service Times and Constant Arrival Rate

Thomas B. Crabill
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Thomas B. Crabill: University of North Carolina

Management Science, 1972, vol. 18, issue 9, 560-566

Abstract: This paper derives the form of a minimal cost rate stationary operating policy for an M/M/I queueing system with K possible service rates. The two costs of the system are a general cost rate dependent on the state of the system and a cost rate associated with each of the possible service rates. The optimal policy is completely characterized by if K - 1 numbers. The optimal service rate is shown to be nondecreasing in the state of the system.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:18:y:1972:i:9:p:560-566

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