Stochastic Control of Queueing Systems.
CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH
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Suppose that the state of a queueing system is described by a Markov process Y sub t, t or 0, and the profit from operating it up to a time t is given by the function fY sub t. The author operates the system up to a time T, where the random variable T is a stopping time for the process Y sub t. Optimal stochastic control is achieved by choosing the stopping time T that maximizes EfY sub T over a given class of stopping times. In the paper a theory of stochastic control is developed for a single server queue with Poisson arrivals and general serivce times. Modified author abstract
- Operations Research