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National Chung Hsing University Institutional Repository - NCHUIR > 理學院 > 應用數學系所 > 依資料類型分類 > 期刊論文 >  Analysis of operating characteristics for the heterogeneous batch arrival queue with server startup and breakdowns

Please use this identifier to cite or link to this item: http://nchuir.lib.nchu.edu.tw/handle/309270000/135631

標題: Analysis of operating characteristics for the heterogeneous batch arrival queue with server startup and breakdowns
作者: Ke, J.C.;Wang, K.H.
王國雄
關鍵字: batch arrivals;breakdowns;control;sensitivity analysis;startup;stochastic decomposition;non-reliable server;n-policy;system;vacations;m/g/1;time;setup
日期: 2003
Issue Date: 2012-12-14 12:02:27 (UTC+8)
關連: Rairo-Operations Research, Volume 37, Issue 3, Page(s) 157-177.
摘要: In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M-[x]/M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server's status: off, startup, busy, or breakdown. While the server is working, he is subject to breakdowns according to a Poisson process. When the server breaks down, he requires repair at a repair facility, where the repair time follows the negative exponential distribution. We study the steady-state behaviour of the system size distribution at stationary point of time as well as the queue size distribution at departure point of time and obtain some useful results. The total expected cost function per unit time is developed to determine the optimal operating policy at a minimum cost. This paper provides the minimum expected cost and the optimal operating policy based on assumed numerical values of the system parameters. Sensitivity analysis is also provided.
Relation: Rairo-Operations Research
Appears in Collections:[依資料類型分類] 期刊論文
[依教師分類] 王國雄

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