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