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Transient analysis of M/M/1 queues in discrete time by general server vacations

Part of: Special processes Combinatorics

Published online by Cambridge University Press:  14 July 2016

W. Böhm  and
S. G. Mohanty
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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 also obtain formulas for the corresponding continuous-time queueing model. As a special case we discuss briefly a queueing system with a T-policy operating.

Keywords

T-POLICYCOMBINATORIAL METHODSDISCRETE-TIME QUERIES

MSC classification

Primary: 60K25: Queueing theory
Secondary: 05A15: Exact enumeration problems, generating functions
Type
Part 3 Queueing Theory
Information
Journal of Applied Probability , Volume 31 , Issue A , 1994 , pp. 115 - 129
Copyright
Copyright © Applied Probability Trust 1994 

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