Accession Number : AD0768281

Title :   Stochastic Control of Queueing Systems.

Descriptive Note : Technical rept.,

Corporate Author : CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Prabhu,Narahari U.

Report Date : AUG 1973

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 = 0), and the profit from operating it up to a time t is given by the function f(Y 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 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 serivce times. (Modified author abstract)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), CONTROL SYSTEMS, RANDOM VARIABLES, OPTIMIZATION, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE