首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Optimal replacement policies for two-unit machines with increasing running costs 1
Authors:Menachem Berg
Institution:Technion - Israel Institute of Technology, Haifa, Israel;Mathematics Division, University of Sussex, Falmer, Brighton BN1 9QH, Great Britain
Abstract:A machine consists of two stochastically failing units. Failure of either of the units causes a failure of the machine and the failed unit has to be replaced immediately. Associated with the units are running costs which increase with the age of the unit because of increasing maintenance costs, decreasing output, etc.A preventive replacement policy is proposed under which, at failure points, we also replace the second unit if its age exceeds a predetermined control limit. It is proved that, for two identical units with exponential life-time distributions and linear running costs, this policy is optimal and the optimal control limit is calculated. In an additional model we take into consideration the length of time it takes to replace one unit or both units.The method of solution is a variation of dynamic semi-Markov programming. Analytical results are obtained and the influence of the various parameters on them is investigated. Finally, we study the saving due to our policy in comparison with a policy in which only failed units are replaced.
Keywords:optimal preventive maintenance  semi-Markov decision processes  dynamic programming  two-unit systems  running costs
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号