Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations

Walter Böhm; Sri Gopal Mohanty

doi:10.57938/d5124c24-b181-4d16-9940-5e15e859b56c

Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations

Walter Böhm, Sri Gopal Mohanty

Statistics and Mathematics

Publikation: Working/Discussion Paper › WU Working Paper

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Abstract

In this contribution we consider an M/M/1 queueing model with general server vacations. Transient and steady state analysis are carried out in discrete time by combinatorial methods. Using weak convergence of discrete parameter Markov chains we obtain also formulas for the corresponding continuous time queueing model. As a special case we discuss briefly a queueing system with T-policy operating. (author's abstract)

Originalsprache	Englisch
Erscheinungsort	Vienna
Herausgeber	Department of Statistics and Mathematics, WU Vienna University of Economics and Business
DOIs	https://doi.org/10.57938/d5124c24-b181-4d16-9940-5e15e859b56c
Publikationsstatus	Veröffentlicht - 1994

Publikationsreihe

Reihe	Forschungsberichte / Institut für Statistik
Nummer	42

WU Working Paper Reihe

Forschungsberichte / Institut für Statistik

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