Accession Number : AD0713109

Title :   THE INFINITE SERVER QUEUE WITH POISSON ARRIVALS AND SEMI-MARKOVIAN SERVICES.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Neuts,Marcel F. ; Chen,Shun-Zer

Report Date : AUG 1970

Pagination or Media Count : 23

Abstract : The queue with an infinite number of servers with a Poisson arrival process and with semi-Markovian service times is considered. The queue length process and the type of the first customer to join the queue after time t are studied jointly and the transient and asymptotic results are obtained which are of matrix extensions of the corresponding results of the M/G/infinity queue. In particular, it is proven that the limiting distribution of the queue length process is Poisson. (Author)

Descriptors :   (*QUEUEING THEORY, STATISTICAL PROCESSES), MATRICES(MATHEMATICS), RANDOM VARIABLES, PROBABILITY, SET THEORY, DISTRIBUTION FUNCTIONS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE