標題: Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers
作者: Wu, Chia-Huang
Ke, Jau-Chuan
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Cost;Balk;Quasi-Newton method;Renege;Matrix analytic approach
公開日期: 1-Dec-2010
摘要: We consider an infinite capacity M/M/c queueing system with c unreliable servers, in which the customers may balk (do not enter) and renege (leave the queue after entering). The system is analyzed as a quasi-birth-and-death (QBD) process and the necessary and sufficient condition of system equilibrium is obtained. System performance measures are explicitly derived in terms of computable forms. The useful formulae for computing the rate matrix and stationary probabilities are derived by means of a matrix analytical approach. A cost model is derived to determine the optimal values of the number of servers, service rate and repair rate simultaneously at the minimal total expected cost per unit time. The parameter optimization is illustrated numerically by the Quasi-Newton method. (C) 2010 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cam.2010.06.005
http://hdl.handle.net/11536/31886
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.06.005
期刊: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume: 235
Issue: 3
起始頁: 547
結束頁: 562
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