標題: A batch arrival queue under randomised multi-vacation policy with unreliable server and repair
作者: Ke, Jau-Chuan
Huang, Kai-Bin
Pearn, Wen Lea
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: batch arrival queue;cost effectiveness;randomised vacation;supplementary variable technique;reliability
公開日期: 2012
摘要: This article examines an M([x])/G/1 queueing system with an unreliable server and a repair, in which the server operates a randomised vacation policy with multiple available vacations. Upon the system being found to be empty, the server immediately takes a vacation. If there is at least one customer found waiting in the queue upon returning from a vacation, the server will be activated for service. Otherwise, if no customers are waiting for service at the end of a vacation, the server either remains idle with probability p or leaves for another vacation with probability 1 - p. When one or more customers arrive when the server is idle, the server immediately starts providing service for the arrivals. It is possible that an unpredictable breakdown may occur in the server, in which case a repair time is requested. For such a system, we derive the distributions of several important system characteristics, such as the system size distribution at a random epoch and at a departure epoch, the system size distribution at the busy period initiation epoch, and the distribution of the idle and busy periods. We perform a numerical analysis for changes in the system characteristics, along with changes in specific values of the system parameters. A cost effectiveness maximisation model is constructed to show the benefits of such a queueing system.
URI: http://hdl.handle.net/11536/14886
http://dx.doi.org/10.1080/00207721.2010.517863
ISSN: 0020-7721
DOI: 10.1080/00207721.2010.517863
期刊: INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume: 43
Issue: 3
起始頁: 552
結束頁: 565
顯示於類別:期刊論文


文件中的檔案:

  1. 000297251500014.pdf