Stochastic Control of Queueing Systems.

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0743807

Entities

People

  • N. U. Prabhu

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Markov Processes
  • Mathematics
  • Random Variables
  • Stochastic Control

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.