Paper Info
Title
Machine repairing systems with standby switching failure.
Abstract
We model a machine repairing system with general repair times and standby switching failure.We derive simpler computational forms of the lognormal and Weibull distributions.The supplementary variable method with a recursive procedure is used to develop the stationary probabilities.A total expected cost function is given to search the optimal parameters using an efficient approach. This paper attempts to explore the performance measures and optimization analysis of machine repairing systems with standby switching failure. The time between failures and time-to-repair of failed machines are assumed to be exponential and general distributions, respectively. The standby is switched over to the operating mode when an operating machine fails, and the switch is subject to failure with probability q . A recursive method based on the supplementary variable technique is used to derive the steady-state probabilities of failed machines in the system. We then develop various performance measures of the system and construct the expected cost function per unit time. The probabilistic global search Lausanne method is employed to determine the optimal number of standbys and the optimal repair rate, wherein the expected cost per unit time is minimized. Finally, some numerical examples are provided for illustrative purposes.
Year
DOI
Venue
2016
10.1016/j.cie.2016.07.016
Computers & Industrial Engineering
Keywords
Field
DocType
Optimization,Probabilistic global search Lausanne method,Sensitivity analysis,Supplementary variable technique
Mathematical optimization,Exponential function,Weibull distribution,Repair rate,Probabilistic logic,Engineering,Expected cost,Log-normal distribution,Recursion,Reliability engineering,Operations management
Journal
Volume
Issue
ISSN
99
C
0360-8352
Citations 
PageRank 
References 
1
0.36
12
Authors
3
Name
Order
Citations
PageRank
Jau-Chuan Ke134844.17
Tzu-hsin Liu2387.55
Dong-Yuh Yang3629.79