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

✍ Scribed by Zeev Barzily; Micha Yadin


Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
420 KB
Volume
23
Category
Article
ISSN
0894-069X

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✦ Synopsis


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.