Economic Analysis of the Cold-Standby M/M/R Machine Repair Problem with Multiple Modes of Failure

• Main Authors: Hui-Chrn Lee, 李慧貞
• Other Authors: K. H. Wang
• Format: Others
• Language: en_US
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/90473869039488640099

碩士 === 國立中興大學 === 應用數學研究所 === 83 === This thesis studies the cold-standby M/M/R machine repair problem with K failure modes under steady-state conditions. It is assumed that any one mode of failure is served by one or more repairmen, and the K failure modes have equal probability of repair. Failure times of the machines and repair times of the repairmen are assumed to be follow a negative exponential distribution. A cost model is developed in order to determine the optimal values of the number of cold standbys and the number of repairmen simultaneously and maintain the system availability at a certain level. Under the optimal operating conditions, numerical results of sevsral system characteristics are presented for three and four failure modes.