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):

Report Date:

1965-06-01

Pagination or Media Count:

8.0

Abstract:

An analytic proof is given of the fact that the stationary distribution for the imbedded Markov chain in a GIM1 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE