Cost Analysis of the Machine Repair Problem with General Repair Times and Multiple Imperfect Coverage

• Main Authors: Je-Hung Su, 蘇哲弘
• Other Authors: Kuo-Hsiung Wang
• Format: Others
• Language: en_US
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/cmf7ge

碩士 === 國立中興大學 === 統計學研究所 === 99 === This thesis studies the cost analysis of the M/G/1 machine repair problem with multiple imperfect coverage. When an operating machine fails, it may be immediately detected and located with a coverage probability. We first use a recursive method and supplementary variable technique to develop steady-state analytic solutions. Numerical results of various system performance measures are provided. Next, we construct a steady-state expected cost function per machine per unit time. We use the direct search method and the Newton-Quasi to determine the optimal number of operating machines Ν and the joint optimal values of the repair rate and the coverage probability с at minimum cost. Numerical examples are presented to illustrate the Newton-Quasi method. Finally, we perform a sensitivity analysis for changes in the optimal value (Ν*, μ*, с*) along with changes in specific values of the system parameters.