Optimal Control of an M/E k /1 Queueing System with a Removable Service Station

Kuo-Hsiung Wang · Hui-Mei Huang

34 citations0/0 files storedJournal of the Operational Research Society

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Advanced Queuing Theory Analysis Optimization and Search Problems Age of Information Optimization

Abstract

This paper studies the optimal operation of an M/Ek/1 queueing system with a removable service station under steady-state conditions. Analytic closed-form solutions of the controllable M/Ek/1 queueing system are derived. This is a generalization of the controllable M/M/1, the ordinary M/Ek/1, and the ordinary M/M/1 queueing systems in the literature. We prove that the probability that the service station is busy in the steady-state is equal to the traffic intensity. Following the construction of the expected cost function per unit time, we determine the optimal operating policy at minimum cost.

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References

1963Queueing Systems with a Removable Service Station 1968Optimal Operating Policies for M / G /1 Queuing Systems 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 1987Optimal control of a removable server in an M/G/1 queue with finite capacity 1981Optimal control of an M/G/1 queuing system with removable server via diffusion approximation 1973Optimal Operation of an M/G/1 Priority Queue with Removable Server

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