標題: Comparative analysis of a randomized N-policy queue: An improved maximum entropy method
作者: Wang, Kuo-Hsiung
Yang, Dong-Yuh
Pearn, W. L.
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Comparative analysis;Improved maximum entropy;< p,N >-policy;Sever breakdowns;Second optional service;Startup
公開日期: 1-八月-2011
摘要: We analyze a single removable and unreliable server in an M/G/1 queueing system operating under the < p,N >-policy. As soon as the system size is greater than N, turn the server on with probability p and leave the server off with probability (1 p). All arriving customers demand the first essential service, where only some of them demand the second optional service. He needs a startup time before providing first essential service until there are no customers in the system. The server is subject to break down according to a Poisson process and his repair time obeys a general distribution. In this queueing system, the steady-state probabilities cannot be derived explicitly. Thus, we employ an improved maximum entropy method with several well-known constraints to estimate the probability distributions of system size and the expected waiting time in the system. By a comparative analysis between the exact and approximate results, we may demonstrate that the improved maximum entropy method is accurate enough for practical purpose, and it is a useful method for solving complex queueing systems. (C) 2011 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.eswa.2011.01.153
http://hdl.handle.net/11536/21305
ISSN: 0957-4174
DOI: 10.1016/j.eswa.2011.01.153
期刊: EXPERT SYSTEMS WITH APPLICATIONS
Volume: 38
Issue: 8
起始頁: 9461
結束頁: 9471
顯示於類別:期刊論文


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