Accession Number : AD0696073

Title :   A QUEUE SUBJECT TO EXTRANEOUS PHASE CHANGES.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Neuts,Marcel F.

Report Date : SEP 1969

Pagination or Media Count : 69

Abstract : The queueing model discussed here is a generalization of a model of an M/M/1 queue, modified as follows. The queue alternates between two phases I and II. In phase I, the arrival and service rates are lambda 1 and mu 1, whereas in phase II they are lambda 2 and mu 2. The successive lengths of time during which the queue is in phases I and II are independent, negative-exponential random variables with parameters s1 and s2 respectively. The paper discusses the following partial generalization of this model. Consider a single server queue, governed by an extraneous phase process. This phase process is assumed to be an irreducible, m-state Markov chain in continuous time, with only stable states.

Descriptors :   (*QUEUEING THEORY, MATHEMATICAL MODELS), STOCHASTIC PROCESSES, STATISTICAL DISTRIBUTIONS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE