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):

Report Date:

1972-03-01

Pagination or Media Count:

18.0

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 fY 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 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 service times. Author

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE