Title: Optimal policy of a hybrid queueing system

Authors: Chafik Abid, Lotfi Tadj

Addresses: Department of Management and E-Business, School of Business Administration, American University in Dubai, P.O. Box 28282, Dubai, United Arab Emirates. ' Department of Management and E-Business, School of Business Administration, American University in Dubai, P.O. Box 28282, Dubai, United Arab Emirates

Abstract: This paper generalises a previous hybrid system with single and batch service. To derive different performance measures of the model, the embedded Markov chain and semi-regenerative techniques are used. The optimal management policy of the system is then obtained based on these measures. The decision variable is the control limit parameter which regulates the transitions from one hybrid mode to another. A numerical example illustrating the outperformance of the proposed hybrid model over the standard quorum model is presented. The proposed hybrid queuing model is useful in many real world situations such as telecommunications, computer networks, power systems, dams, electric circuits and transportation networks.

Keywords: queues; single service; bulk service; hybrid queueing; optimal policy; performance measures; modelling.

DOI: 10.1504/IJMOR.2010.033438

International Journal of Mathematics in Operational Research, 2010 Vol.2 No.4, pp.424 - 435

Published online: 02 Jun 2010 *

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