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

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 t...

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Main Authors: Böhm, Walter, Mohanty, Sri Gopal
Format: Others
Language:en
Published: Department of Statistics and Mathematics, WU Vienna University of Economics and Business 1994
Online Access:http://epub.wu.ac.at/890/1/document.pdf
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spelling ndltd-VIENNA-oai-epub.wu-wien.ac.at-epub-wu-01_a262013-01-08T17:32:24Z Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations Böhm, Walter Mohanty, Sri Gopal 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) Department of Statistics and Mathematics, WU Vienna University of Economics and Business 1994 Working Paper NonPeerReviewed en application/pdf http://epub.wu.ac.at/890/1/document.pdf Series: Forschungsberichte / Institut für Statistik http://epub.wu.ac.at/890/
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language en
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sources NDLTD
description 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) === Series: Forschungsberichte / Institut für Statistik
author Böhm, Walter
Mohanty, Sri Gopal
spellingShingle Böhm, Walter
Mohanty, Sri Gopal
Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
author_facet Böhm, Walter
Mohanty, Sri Gopal
author_sort Böhm, Walter
title Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
title_short Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
title_full Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
title_fullStr Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
title_full_unstemmed Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations
title_sort transient analysis of m/m/1 queues in discrete time with general server vacations
publisher Department of Statistics and Mathematics, WU Vienna University of Economics and Business
publishDate 1994
url http://epub.wu.ac.at/890/1/document.pdf
work_keys_str_mv AT bohmwalter transientanalysisofmm1queuesindiscretetimewithgeneralservervacations
AT mohantysrigopal transientanalysisofmm1queuesindiscretetimewithgeneralservervacations
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