Optimal control of a removable and non-reliable server in an infinite and a finite \(M/H_2/1\) queueing system
type: Item
instance of: scholarly article
title: Optimal control of a removable and non-reliable server in an infinite and a finite \(M/H_2/1\) queueing system
zbMATH Open document ID: 0951.93073
DOI: 10.1016/S0307-904X(99)00002-5
author: Kuo-Hsiung Wang
author: Kuan-Wen Chang
author: B. D. Sivazlian
published in: Applied Mathematical Modelling
publication date: 2000-12-19T00:00:00Z
review text: The paper deals with a single removable and non-reliable server in a queuing system with either infinite or finite capacity. The server is turned on when \(N\) or more costumers are present in the system and turned off when none is present. While the server is turned on and working, it is subject of breakdowns according to a Poisson process. Objectives of the paper are to construct steady-state models for both the infinite and the finite system capacity, to determine the stability condition to reach steady-state and to formulate the cost function. The cost function includes the holding costs for each waiting costumer in the system, the costs for keeping the server alive, the costs for turning the server on or off, the breakdown costs for failed server and the fixed costs for every lost costumer. The authors determine the optimal \(N\)-policy in respect of cost minimization. The results are completed by a sensitivity analysis for an infinite and a finite system capacity and different cost factors.
reviewed by: Bernd Mathiszik
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 91B32
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1389075
zbMATH Keywords: cost
zbMATH Keywords: hyper-exponential
zbMATH Keywords: queue
zbMATH Keywords: \(N\)-policy
zbMATH Keywords: server breakdown
MaRDI profile type: Publication
cites work: Q3998718
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full work available at URL: s0307-904x(99)00002-5
OpenAlex ID: W2041632953
description: scientific article; zbMATH DE number 1389075