Preventive replacement policies for parallel systems with deviation costs between replacement and failure

Xufeng Zhao (), Satoshi Mizutani (), Mingchih Chen () and Toshio Nakagawa ()
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Xufeng Zhao: Nanjing University of Aeronautics and Astronautics
Satoshi Mizutani: Aichi Institute of Technology
Mingchih Chen: Fu Jen Catholic University
Toshio Nakagawa: Aichi Institute of Technology

Annals of Operations Research, 2022, vol. 312, issue 1, No 26, 533-551

Abstract: Abstract In order to balance the deviation time between replacement and failure, a new notion of cost named as deviation cost is taken into account for planning replacement policies. We firstly take up a standard parallel system with n identical units and model replacement policies that are done at planned time and at periodic times. Next, we model again the above replacement policies when the number of units is a random variable that has a Poisson distribution. Thirdly, replacement policies are planned preventively at the completion of random working times. Optimum number of units is scheduled for a total working interval that is constantly and randomly given. Finally, we give reliability functions of k-out-of-n systems for extensions of parallel systems. We give analytical discussions for the above replacement policies and illustrate numerical examples when the failure time of each unit has an exponential distribution.

Keywords: Preventive replacement; Parallel system; Working times; Failure; Reliability (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-020-03791-6

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