標題: A HEURISTIC ALGORITHM FOR THE OPTIMIZATION OF M/M/s QUEUE WITH MULTIPLE WORKING VACATIONS
作者: Wu, Chia-Huang
Wang, Kuo-Hsiung
Ke, Jau-Chuan
Ke, Jyh-Bin
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Newton-Quasi algorithm;optimization;rate matrix;sensitivity analysis;working vacations
公開日期: 1-二月-2012
摘要: This paper focuses on an M/M/s queue with multiple working vacations such that the server works with different service rates rather than no service during the vacation period. We show that this is a generalization of an M/M/1 queue with working vacations in the literature. Service times during vacation period, or during service period and vacation times are all exponentially distributed. We obtain the useful formula for the rate matrix R through matrix-geometric method. A cost function is formulated to determine the optimal number of servers subject to the stability conditions. We apply the direct search algorithm and Newton-Quasi algorithm to heuristically find an approximate solution to the constrained optimization problem. Numerical results are provided to illustrate the effectiveness of the computational algorithm.
URI: http://dx.doi.org/10.3934/jimo.2012.8.1
http://hdl.handle.net/11536/15243
ISSN: 1547-5816
DOI: 10.3934/jimo.2012.8.1
期刊: JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
Volume: 8
Issue: 1
起始頁: 1
結束頁: 17
顯示於類別:期刊論文