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The Allocation Of Customers In A Discrete-Time Multi-Server Queueing System

Author

Listed:
  • 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)

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.

Suggested Citation

  • Wei Sun & Naishuo Tian & Shiyong Li, 2010. "The Allocation Of Customers In A Discrete-Time Multi-Server Queueing System," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(06), pages 649-667.
    • Handle: RePEc:wsi:apjorx:v:27:y:2010:i:06:n:s0217595910002922
    DOI: 10.1142/S0217595910002922
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