Optimal Control of a Single-Server Queue with Balking and Reneging
We 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.
Volume (Year): 19 (1972)
Issue (Month): 3 (November)
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