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Advances in Operations Research
Volume 2016, Article ID 3478709, 8 pages
http://dx.doi.org/10.1155/2016/3478709
Research Article

Selective Trunk with Multiserver Reservation

1Department of Industrial Engineering and Management, Faculty of Engineering and Architecture, American University of Beirut, Beirut 1107 2020, Lebanon
2Department of Mathematics and Statistics, University of Southern Maine, 96 Falmouth Street, Portland, ME 04104-9300, USA

Received 3 November 2015; Revised 28 January 2016; Accepted 29 March 2016

Academic Editor: Yiqiang Zhao

Copyright © 2016 Bacel Maddah and Muhammad El-Taha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a queueing model that is primarily applicable to traffic control in communication networks that use the Selective Trunk Reservation technique. Specifically, consider two traffic streams competing for service at an -server queueing system. Jobs from the protected stream, stream 1, are blocked only if all servers are busy. Jobs from the best effort stream, stream 2, are blocked if , servers are busy. Blocked jobs are diverted to a secondary group of servers with, possibly, a different service rate. We extend the literature that studied this system for the special case of and present an explicit computational scheme to calculate the joint probabilities of the number of primary and secondary busy servers and related performance measures. We also argue that the model can be useful for bed allocation in a hospital.