THE ALLOCATION OF CUSTOMERS IN A DISCRETE-TIME MULTI-SERVER QUEUEING SYSTEM

Wei Sun (), Naishuo Tian () and Shiyong Li ()
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Wei Sun: School of Economics and Management, Yanshan University, Qinhuangdao, P. R. China
Naishuo Tian: College of Science, Yanshan University, Qinhuangdao, P. R. China
Shiyong Li: School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing, 100044, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2010, vol. 27, issue 06, 649-667

Abstract: This paper, analyzes the allocation problem of customers in a discrete-time multi-server queueing system and considers two criteria for routing customers' selections: equilibrium and social optimization. As far as we know, there is no literature concerning the discrete-time multi-server models on the subject of equilibrium behaviors of customers and servers. Comparing the results of customers' distribution at the servers under the two criteria, we show that the servers used in equilibrium are no more than those used in the socially optimal outcome, that is, the individual's decision deviates from the socially preferred one. Furthermore, we also clearly show the mutative trend of several important performance measures for various values of arrival rate numerically to verify the theoretical results.

Keywords: Queueing system; discrete-time multi-server; Nash equilibrium; social optimization (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0217595910002922

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