Optimal use of excess capacity in two interconnected queues

Dimitrios Pandelis ()

Mathematical Methods of Operations Research, 2007, vol. 65, issue 1, 179-192

Abstract: We consider a two-stage tandem queueing network where jobs from station 1 join station 2 with a certain probability. Each job incurs a linear holding cost, different for each station. Each station is attended by a dedicated server, and there is an additional server that is either constrained to serve in station 1 or can serve in both stations. Assuming no switching or other operating costs for the additional server, we seek an allocation strategy that minimizes expected holding costs. For a clearing system we show that the optimal policy is characterized by a switching curve for which we provide a lower bound on its slope. We also specify a subset of the state space where the optimal policy can be explicitly determined. Copyright Springer-Verlag 2007

Keywords: Flexible resources; Tandem queues; Dynamic programming (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00186-006-0112-2

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