Optimal Control of a Single-Server Queue with Balking and Reneging
AbstractWe consider the problem of controlling a single-server queue by turning the server on and off. In addition to a Poisson arrival process and general service-time distribution, provisions for balking and reneging are included in the models, yielding a variety of applications. Stationary optimal policies which maximize expected discounted reward over an infinite horizon are shown to have a simple critical-number characterization. Algorithms for computing the critical numbers are described.
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Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 19 (1972)
Issue (Month): 3 (November)
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- Boronico, Jess S. & Siegel, Philip H., 1998. "Capacity planning for toll roadways incorporating consumer wait time costs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 297-310, May.
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