On Optimal and Equilibrium Retrial Rates in a Queueing System

Refael Hassin · Moshe Haviv

36 citations0/0 files storedProbability in the Engineering and Informational Sciences

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Advanced Queuing Theory Analysis Game Theory and Applications Optimization and Search Problems

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.

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References

1969The Regulation of Queue Size by Levying Tolls 1983On queueing systems by retrials 1983A game theoretic model for two types of customers competing for service 1994Optimal Customer Return Rate for an M/M/1 Queueing System with Retrials

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2014A Model of Rational Retrials in Queues 2018Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate 2020Equilibrium balking strategies in the single-server retrial queue with constant retrial rate and catastrophes 2015Monopoly pricing in a retrial queue with delayed vacations for local area network applications 2012On the optimal and equilibrium retrial rates in an unreliable retrial queue with vacations 2021Understanding Customer Retrials in Call Centers: Preferences for Service Quality and Service Speed 2017Equilibrium pricing in an M/G/1 retrial queue with reserved idle time and setup time 2009AN M / G /1 RETRIAL QUEUE WITH UNRELIABLE SERVER FOR STREAMING MULTIMEDIA APPLICATIONS

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