Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/36355
標題: Optimal management of the machine repair problem with working vacation: Newton's method
作者: Wang, K.H.
王國雄
Chen, W.L.
Yang, D.Y.
關鍵字: Cost
Optimization
Working vacation
Newton's method
server vacations
profit analysis
gi/m/1 queue
interference problem
exhaustive service
m/g/1 queue
station
spares
期刊/報告no:: Journal of Computational and Applied Mathematics, Volume 233, Issue 2, Page(s) 449-458.
摘要: This paper studies the M/M/1 machine repair problem with working vacation in which the server works with different repair rates rather than completely terminating the repair during a vacation period. We assume that the server begins the working vacation when the system is empty. The failure times, repair times, and vacation times are all assumed to be exponentially distributed. We use the MAPLE software to compute steady-state probabilities and several system performance measures. A cost model is derived to determine the optimal values of the number of operating machines and two different repair rates simultaneously, and maintain the system availability at a certain level. We use the direct search method and Newton's method for unconstrained optimization to repeatedly find the global minimum value until the system availability constraint is satisfied. Some numerical examples are provided to illustrate Newton's method. (C) 2009 Published by Elsevier B.V.
URI: http://hdl.handle.net/11455/36355
ISSN: 0377-0427
文章連結: http://dx.doi.org/10.1016/j.cam.2009.07.043
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