Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/36358
標題: COST ANALYSIS OF THE M/M/R MACHINE REPAIR PROBLEM WITH SECOND OPTIONAL REPAIR: NEWTON-QUASI METHOD
作者: Wang, K.H.
王國雄
Liao, C.W.
Yen, T.C.
關鍵字: cost
matrix-analytic method
optimization
second optional repair
Newton-Quasi method
profit analysis
m/g/1 queue
service
期刊/報告no:: Journal of Industrial and Management Optimization, Volume 6, Issue 1, Page(s) 197-207.
摘要: This paper investigates the M/M/R machine repair problem with second optional repair. Failure times of the operating machines are assumed to be exponentially distributed with parameter lambda. Repair times of the first essential repair and the second optional repair are assumed to follow exponential distributions. A failed machine may leave the system either after the first essential repair with probability (1-theta), or select to repair for second optional repair with probability theta (0 <=theta <= 1) at the completion of the first essential repair. We obtain the steady-state solutions through matrix-analytic method. A cost model is derived to determine the optimal number of the repairmen, the optimal values of the first essential repair rate, and the second optional repair rate while maintaining the system availability at a specified level. We use the direct search method to deal with the number of repairmen problem and the Newton-Quasi method for the repair rate problem to minimize the system operating cost while all the constraints are satisfied.
URI: http://hdl.handle.net/11455/36358
ISSN: 1547-5816
文章連結: http://dx.doi.org/10.3934/jimo.2010.6.197
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