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On Optimal and Equilibrium Retrial Rates in a Queueing System

Published online by Cambridge University Press:  27 July 2009

Refael Hassin
Affiliation:
Department of Statistics and Operations ResearchTel Aviv University69978 Tel Aviv, Israel
Moshe Haviv
Affiliation:
Department of Econometrics, The University of Sydney, Sydney, New South Wales 2006, Australia and Department of Statistics, The Hebrew University of Jerusalem, 91905 Jerusalem, Israel

Abstract

We discuss socially optimal and equilibrium retrial rates in a single-server queueing model. We extend known results, compare the two rates, and suggest ways to impose tolls on retrials (or rebates for waiting) in order to equate the equilibrium rate with the socially optimal one.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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References

1.Elcan, A. (1994). Optimal customer return rate for an M/M/1 queueing system with retrials. Probability in the Engineering and Informational Sciences 8: 521539.CrossRefGoogle Scholar
2.Kulkarni, V.G. (1983). A game theoretic model for two types of customers competing for service. Operations Research Letters 2: 119122.CrossRefGoogle Scholar
3.Kulkarni, V.G. (1983). On queueing systems ith retrials. Journal of Applied Probability 20: 380389.CrossRefGoogle Scholar
4.Naor, P. (1969). The regulation of queue size by levying tolls. Econometrica 31: 1524.CrossRefGoogle Scholar