标题: | Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers |
作者: | Wu, Chia-Huang Ke, Jau-Chuan 工业工程与管理学系 Department of Industrial Engineering and Management |
关键字: | Cost;Balk;Quasi-Newton method;Renege;Matrix analytic approach |
公开日期: | 1-十二月-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 |
起始页: | 547 |
结束页: | 562 |
显示于类别: | Articles |
文件中的档案:
If it is a zip file, please download the file and unzip it, then open index.html in a browser to view the full text content.