Profit Analysis of a Repairable System with Imperfect Coverage and Service Pressure Coefficient
We consider the warm-standby M/M/R machine repair problem with multiple imperfect coverage which involving the service pressure condition. When an operating machine (or warm standby) fails, it may be immediately detected, located, and replaced with a coverage probability c by a standby if one is available. Using the recursive method, we develop the steady-state solutions which are used to calculate various system performance measures. We develop the expected profit function per unit time to determine the joint optimal values at the maximum profit. We first use the direct search method to find the optimal number of servers R and the optimal number of warm standby S. Subsequently, we apply the QuasiNewton method to obtain the optimal service rate fl and the optimal coverage probability c after R and S are fixed. Finally, we perform a sensitivity analysis to study the effects on the optimal values ( R*, S*, μ*, c* ) if the system parameters take on other specific values.
cost matrix-analytic method Newton-quasi method optimization second optional repair
Kuo-Hsiung Wang Yu-Hsueh Lin
Department of Applied Mathematics National Chung-Hsing University, Taichung 402, Taiwan, ROC Department of Applied Mathematics National Chung-Hsing University Taichung 402, Taiwan, ROC
国际会议
昆明、丽江
英文
127-131
2011-04-15（万方平台首次上网日期，不代表论文的发表时间）