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Optimal regulation of the service rate for a queue with finite waiting space

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Abstract

The optimal control for the service rate of a single-server queue with limited waiting space is derived. Costs are associated with providing the service and with waiting. A comparison with the traditional steady-state result is made.

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References

  1. Crabill, T. B.,Optimal Control of a Queue with Variable Service Rates, Cornell University, Department of Operations Research, Technical Report No. 75, 1969.

  2. Lippman, S.,Optimal Control of an (M/M/1) Queue with Variable Service Rate, Paper presented at the ORSA-TIMS National meeting, Las Vegas, Nevada, 1975.

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Communicated by G. Leitmann

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Scott, C.H., Jefferson, T.R. Optimal regulation of the service rate for a queue with finite waiting space. J Optim Theory Appl 20, 245–250 (1976). https://doi.org/10.1007/BF01767454

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  • DOI: https://doi.org/10.1007/BF01767454

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