Bicriterion Optimization of an M/G/1 Queue with A Removable Server

Eugene Aleksandrovich Feinberg · Dong J. Kim

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

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Abstract

This paper studies bicriterion optimization of an M/G/1 queue with a server that can be switched on and off. One criterion is an average number of customers in the system, and another criterion is an average operating cost per unit time. Operating costs consist of switching and running costs. We describe the structure of Pareto optimal policies for a bicriterion problem and solve problems of optimization of one of these criteria under a constraint for another one.

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References

1963Queueing Systems with a Removable Service Station 1968Optimal Operating Policies for M / G /1 Queuing Systems 1990Operations research proceedings 1971Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server 1969Optimal Average-Cost Policy for a Queue with Start-Up and Shut-Down Costs 1989Control Policies for the MX/G/1 Queueing System 1989The threshold policy in theM/G/1 queue with server vacations 1973Control Policies for a Single Server System

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