
Accession Number : AD0743807
Title : Stochastic Control of Queueing Systems.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Prabhu,N. U.
Report Date : MAR 1972
Pagination or Media Count : 18
Abstract : Suppose that the state of a queueing system is described by a Markov process ((Y sub t), t = or > O), and the profit from operating it up to a time t is given by the function f(Y sub t). One may operate 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 Ef(Y 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 service times. (Author)
Descriptors : (*QUEUEING THEORY, STOCHASTIC PROCESSES), GROUPS(MATHEMATICS), OPTIMIZATION, CONTROL, THEOREMS
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE