Accession Number : AD0664471

Title :   EXPONENTIAL ERGODICITY OF THE M/G/1 QUEUE.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Neuts,Marcel F. ; Teugels,Jozef L.

Report Date : OCT 1967

Pagination or Media Count : 19

Abstract : If an M (verticle line) G (verticle line) 1 queue has a service time distribution which is exponentially bounded, then most all important quantities of the queue have distributions, which are exponentially bounded. This is proved for the busy period, the number of customers served during a busy period, the waitingtime, the queuelength in continuous and in discrete time. The method of proof is based on the exponential ergodicity theorems for semi-Markov processes. (Author)

Descriptors :   (*QUEUEING THEORY, THEOREMS), EXPONENTIAL FUNCTIONS, INEQUALITIES, RANDOM VARIABLES, STATISTICAL PROCESSES, SEQUENCES(MATHEMATICS), PROBABILITY, MEASURE THEORY, ANALYTIC FUNCTIONS, CONVERGENCE

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE