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Bad luck when joining the shortest queue

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Author Info
Blanc, J.P.C.

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Abstract

A frequent observation in service systems with queues in parallel is that customers in other queues tend to be served faster than those in one's own queue. This paper quantifies the probability that one's service would have started earlier if one had joined another queue than the queue that was actually chosen, for exponential multiserver systems with queues in parallel in which customers join one of the shortest queues upon arrival and in which jockeying is not possible.

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File URL: http://www.sciencedirect.com/science/article/B6VCT-4RS43K5-3/2/256c7c1d5649d17ea78978881e893812
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Publisher Info
Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 195 (2009)
Issue (Month): 1 (May)
Pages: 167-173
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Handle: RePEc:eee:ejores:v:195:y:2009:i:1:p:167-173

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Related research
Keywords: Queueing Join-the-shortest-queue Probability of bad luck Power-series algorithm Overtaking customers Dedicated customers;

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References listed on IDEAS
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  1. Johri, Pravin K., 1989. "Optimality of the shortest line discipline with state-dependent service rates," European Journal of Operational Research, Elsevier, vol. 41(2), pages 157-161, July. [Downloadable!] (restricted)
  2. Blanc, J.P.C., 1993. "Performance Analysis and Optimization with the Power- Series Algorithm," Papers 9347, Tilburg - Center for Economic Research.
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This page was last updated on 2009-12-30.


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