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

Institute for Statistics and Mathematics

Publication: 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)

Original language	English
Place of Publication	Vienna
Publisher	Department of Statistics and Mathematics, WU Vienna University of Economics and Business
DOIs	https://doi.org/10.57938/d5124c24-b181-4d16-9940-5e15e859b56c
Publication status	Published - 1994

Publication series

Series	Forschungsberichte / Institut für Statistik
Number	42

WU Working Paper Series

Forschungsberichte / Institut für Statistik

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