
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 integrodifferential equation, which may be solved by reduction to a WienerHopf equation. (Author)
Descriptors : (*QUEUEING THEORY, DISTRIBUTION THEORY), PROBABILITY, MEASURE THEORY, FOURIER ANALYSIS, INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS
Distribution Statement : APPROVED FOR PUBLIC RELEASE