Extended block replacement policies with mission durations and maintenance triggering approaches

Abstract When the missions arrive, it is not feasible to shut down engineering systems for preventive maintenance policies. Otherwise, it would cause major economic losses and even unimaginable accident. Hence, it is interesting and significative to provide appropriate preventive maintenance policies with mission durations to improve the system reliability and maintainability. For the electronic systems consisting of a block or group of units whose ages are not easy observed and only failures are known, we firstly extend the block replacement policy with random arrival time of mission durations. As a required reliability is needed at the mission time and no replacement can be done during the mission durations preventively. From the points of cost and maintainability, two maintenance triggering approaches, i.e., replacement first and replacement last, are discussed in analytical ways, respectively. Furthermore, three replacement policies are compared theoretically and numerically with optimum mission durations and planned replacement time. In addition, a case illustration in maintaining the electronic systems of active phased array radar (APAR) is given when the arrival time of mission durations follows an exponential distribution and the failure time of electronic systems has a gamma distribution.

[1]  Matthieu van der Heijden,et al.  Availability of k-out-of-N systems under block replacement sharing limited spares and repair capacity , 2007 .

[2]  Ali Gharbi,et al.  Joint modified block replacement and production/inventory control policy for a failure-prone manufacturing cell , 2011 .

[3]  Toshio Nakagawa,et al.  Maintenance Theory of Reliability , 2005 .

[4]  Shey-Huei Sheu,et al.  Extended optimal preventive replacement policies with random working cycle , 2019, Reliab. Eng. Syst. Saf..

[5]  Toshio Nakagawa,et al.  Age replacement models: A summary with new perspectives and methods , 2017, Reliab. Eng. Syst. Saf..

[6]  Jian Zhou,et al.  Uncertain Random Renewal Reward Process With Application to Block Replacement Policy , 2016, IEEE Transactions on Fuzzy Systems.

[7]  S. Sheu Extended block replacement policy with used item and general random minimal repair cost , 1994 .

[8]  T. Dohi,et al.  Moment-based approach for some age-based replacement problems , 2017 .

[9]  Lifeng Xi,et al.  Modeling and Analyzing a Joint Optimization Policy of Block-Replacement and Spare Inventory With Random-Leadtime , 2008, IEEE Transactions on Reliability.

[10]  Philip A. Scarf,et al.  Block replacement policies for a two‐component system with failure dependence , 2003 .

[11]  Gregory Levitin,et al.  Optimal mission abort policy for systems in a random environment with variable shock rate , 2018, Reliab. Eng. Syst. Saf..

[12]  Minjae Park,et al.  Cost models for age replacement policies and block replacement policies under warranty , 2016 .

[13]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[14]  Rui Peng,et al.  A two-phase preventive maintenance policy considering imperfect repair and postponed replacement , 2019, Eur. J. Oper. Res..

[15]  Nan Chen,et al.  Optimal Inspection and Replacement Policies for Multi-Unit Systems Subject to Degradation , 2018, IEEE Transactions on Reliability.

[16]  Toshio Nakagawa,et al.  Advanced Maintenance Policies for Shock and Damage Models , 2017 .

[17]  Xufeng Zhao,et al.  Preventive replacement policies with time of operations, mission durations, minimal repairs and maintenance triggering approaches , 2020, Journal of Manufacturing Systems.

[18]  Li Yang,et al.  A delay time model for a mission-based system subject to periodic and random inspection and postponed replacement , 2016, Reliab. Eng. Syst. Saf..

[19]  Maxim Finkelstein,et al.  Classical Optimal Replacement Strategies Revisited , 2016, IEEE Transactions on Reliability.

[20]  Hua Ke,et al.  Block replacement policy with uncertain lifetimes , 2016, Reliab. Eng. Syst. Saf..

[21]  Min Xie,et al.  An imperfect maintenance policy for mission-oriented systems subject to degradation and external shocks , 2016, Comput. Ind. Eng..

[22]  Toshio Nakagawa Random Maintenance Policies , 2014 .

[23]  Xiaolin Wang,et al.  Imperfect Preventive Maintenance Policies With Unpunctual Execution , 2020, IEEE Transactions on Reliability.

[24]  Shey-Huei Sheu,et al.  A note on a two variable block replacement policy for a system subject to non-homogeneous pure birth shocks , 2016 .

[25]  Yu Liu,et al.  Selective maintenance strategy for systems executing multiple consecutive missions with uncertainty , 2020, Reliab. Eng. Syst. Saf..

[26]  Mireille Bayart,et al.  Optimization of Maintenance Actions for a Multi-Component Control System and for Planned Mission Duration , 2012 .

[27]  Alenka Hudoklin,et al.  Joint optimization of block-replacement and periodic-review spare-provisioning policy , 2003, IEEE Trans. Reliab..

[28]  Bora Çekyay,et al.  Optimal maintenance of systems with Markovian mission and deterioration , 2012, Eur. J. Oper. Res..