Accession Number : AD0764540

Title :   Transitory Service Systems.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Gaver,Donald P. ; Lehoczky,John P. ; Perlas,Manuel

Report Date : MAY 1973

Pagination or Media Count : 36

Abstract : Many (perhaps most) service systems, such as repair and job shops, computation centers, and transportation networks, experience demand that is non-stationary in time. The paper describes models for situations in which demands made are by a finite number of individuals, who, having been served, do not return until much later. Such a transitory demand or arrival process describes many phenomena, among them being commuter rush hours, and also perhaps the effect on a population of individuals their simultaneous exposure to a dosage of medicine, a disease, or even a pollutant. The paper formulates several models for the service of such demands and describes the manner in which system state may be approximated by Gaussian processes, in particular the Ornstein-Uhlenbeck and Wiener diffusions. (Author)

Descriptors :   (*QUEUEING THEORY, *STOCHASTIC PROCESSES), DISTRIBUTION FUNCTIONS, RANDOM VARIABLES, MATHEMATICAL MODELS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE