Accession Number : AD0618530

Title :   AN ALTERNATIVE PROOF OF A THEOREM OF TAKACS ON THE GI/M/1 QUEUE.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND

Personal Author(s) : Neuts,Marcel F.

Report Date : JUN 1965

Pagination or Media Count : 8

Abstract : An analytic proof is given of the fact that the stationary distribution for the imbedded Markov chain in a GI/M/1 queue is geometric. A generating function for the stationary transition probabilities is obtained as the unique solution to an integro-differential equation, which may be solved by reduction to a Wiener-Hopf equation. (Author)

Descriptors :   (*QUEUEING THEORY, DISTRIBUTION THEORY), PROBABILITY, MEASURE THEORY, FOURIER ANALYSIS, INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE