Abstract
We consider a system consisting of a server serving in sequence a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queuing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. The waiting time of the server satisfies a Lindley-type equation of a non-standard form. We give a sufficient condition for the existence of a limiting waiting time distribution in the general case, and assuming preparation times are exponentially distributed, we describe in depth the resulting Markov chain. We provide detailed computations for a special case and extensive numerical results investigating the effect of the system's parameters to the performance of the server.
Original language | English |
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Title of host publication | Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES |
Publisher | INSTICC PRESS |
Pages | 14-23 |
Number of pages | 10 |
ISBN (Print) | 978-989856540-2 |
Publication status | Published - 2013 |
Externally published | Yes |
Event | 2nd International Conference on Operations Research and Enterprise Systems 2013 - Barcelona, Spain Duration: 6 Feb 2013 → 8 Feb 2013 Conference number: 2 http://www.icores.org/?y=2013 |
Conference
Conference | 2nd International Conference on Operations Research and Enterprise Systems 2013 |
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Abbreviated title | ICORES 2013 |
Country | Spain |
City | Barcelona |
Period | 6/02/13 → 8/02/13 |
Internet address |