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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Joint Stationary Distribution Of Queues In Homogenous M|M|3 Queue With
Resequencing |
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Authors: |
Ilaria Caraccio, Alexander V. Pechinkin,
Rostislav V. Razumchik |
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Published in:
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(2014).ECMS 2014 Proceedings edited
by: Flaminio Squazzoni,
Fabio Baronio, Claudia Archetti,
Marco Castellani European Council for
Modeling and Simulation. doi:10.7148/2014 ISBN:
978-0-9564944-8-1 28th
European Conference on Modelling and Simulation, Brescia,
Italy, May 27th – 30th,
2014 |
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Citation
format: |
Ilaria Caraccio, Alexander V. Pechinkin,
Rostislav V. Razumchik (2014). Joint Stationary Distribution Of Queues In
Homogenous M|M|3 Queue With Resequencing, ECMS 2014
Proceedings edited by: Flaminio Squazzoni,
Fabio Baronio, Claudia Archetti,
Marco Castellani European Council for Modeling and Simulation. doi:10.7148/2014-0558 |
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DOI: |
http://dx.doi.org/10.7148/2014-0558 |
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Abstract: |
Resequencing issue is a crucial issue in
simultaneous processing systems where the order of customers (jobs, units)
upon arrival has to be preserved upon departure. In this paper stationary
characteristics of M/M/3/∞ queueing system with
reordering buffer of infinite capacity are being analyzed. Noticing that
customer in reordering buffer may form two separate queues,
focus is given to the study of their size distribution. Expressions for joint
stationary distribution are obtained both in explicit form and in terms of
generating functions. Numerical example is presented. |
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