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The effect of prior assumptions on the expected cost of m/m/1 queueing systems with unknown arrival rate

Zeev Barzily and Micha Yadin

Naval Research Logistics Quarterly, 1976, vol. 23, issue 4, 663-671

Abstract: In this study we deal with the determination of optimal service rate in an M/M/1 queue. The arrival rate is unknown and assumed to be a random variable with a known distribution function. Holding and operating costs are considered and service rate is determined to minimize total expected discounted costs for infinite horizon. The effects of the arrival rate's distribution properties on the characteristics of the system are examined.

Date: 1976
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https://doi.org/10.1002/nav.3800230411

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:23:y:1976:i:4:p:663-671

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