Quasi-Periodic Replacement Policy for a Two-Unit Production System

Expand
  • (1. College of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou 730050, China; 2. Technical Center, R&D Department, YEAL Electric Co., Ltd., Changchun 130113, China)

Online published: 2020-05-29

Abstract

Maintenance optimization of periodic replacement for mono-unit production system is a widely discussed topic. In practice, the replacement for a parallel production system with multi-unit served by one repairman is universal. The replacement action is often implemented in a maintenance window at random, although the replacement period appears as a quasi-periodic event. To optimize these maintenance policies, this study analyzes a bivariate quasi-periodic replacement policy (T,W) for a two-unit parallel production system with a maintenance window and one repairman. One unit of the system is replaced when either a failure occurs or a replacement plan comes in the maintenance window, whichever comes first. If one of the two units is in the replacement, the other may continue operating or waiting until the replacement is completed. An optimal replacement window [T*, T*+ W*] can be obtained by jointly considering the system’s long-running cost rate and the availability using the genetic algorithm. This study also introduces three examples of the production system with different types of units to illustrate the proposed policy.

Cite this article

GAO Wenke, WANG Yu, YANG Tianshu, JI Hong, CHEN Yin . Quasi-Periodic Replacement Policy for a Two-Unit Production System[J]. Journal of Shanghai Jiaotong University(Science), 2020 , 25(3) : 398 -406 . DOI: 10.1007/s12204-019-2149-4

References

[1] GAO W K, ZHANG Z S, JI H, et al. Optimal quasi-periodic preventive maintenance policies for a repairable system with stochastic maintenance interval [J]. Eksploatacja i Niezawodnosc-Maintenance and Reliability, 2015, 17(3): 389-397. [2] KODO I, TOSHIO N. Optimal operation censoring policy of aircraft [C]//Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling.Nanjing, China: McGraw Hill, 2012: 184-191. [3] JIA X, CHRISTER A H. A prototype cost model of functional check decisions in reliability-centered maintenance[J]. Journal of the Operational Research Society,2002, 53(12): 1380-1384. [4] JIANG R. Optimization of alarm threshold and sequential inspection scheme [J]. Reliability Engineering & System Safety, 2010, 95(3): 208-215. [5] JIANG R. An efficient quasi-periodic inspection scheme for a one-component system [J]. IMA Journal of Management Mathematics, 2017, 28(3): 373-386. [6] GAO W K, ZHANG Z S, ZHOU Y F, et al. Maintenance optimization for a system with an implemented interval of replacement activities [C]//International Conference on Quality, Reliability, Risk, Maintenance,and Safety Engineering. Emeishan, China: IEEE,2013: 664-669. [7] WU S M. Preventive maintenance models: A review[M]//TADJ L, OUALI M S, YACOUT S, et al.Replacement Models with Minimal Repair. London:Springer London, 2011: 129-140. [8] CASTRO I T, SANJU′AN E L. An optimal maintenance policy for repairable systems with delayed repairs[J]. Operations Research Letters, 2008, 36(5):561-564. [9] CHEN M. Optimal random replacement models with continuously processing jobs [J]. Applied Stochastic Models in Business and Industry, 2013, 29(2): 118-126. [10] ZHAO X, QIAN C, NAKAGAWA T. Age replacement with overtime policy [C]//Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling. Nanjing, China: McGraw Hill, 2012: 661-668. [11] LU Z Q, CUI W W, HAN X L. Integrated production and preventive maintenance scheduling for a single machine with failure uncertainty [J]. Computers & Industrial Engineering, 2015, 80: 236-244. [12] MALIK M A K. Reliable preventive maintenance scheduling [J]. AIIE Transactions, 1979, 11(3): 221-228. [13] LI D W, ZHANG Z H, ZHONG Q H, et al. Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time [J]. Chinese Journal of Aeronautics,2014, 27(4): 821-828. [14] GUO J F, RUI Z Y, FENG R C, et al. Imperfect preventive maintenance for numerical control machine tools with log-linear virtual age process [J]. Journal of Central South University, 2014, 21(12): 4497-4502. [15] NAKAGAWA T. Maintenance theory of reliability [M].London: Springer-Verlag, 2005. [16] PAN E S, LIAO W Z, XI L F. Single-machine-based production scheduling model integrated preventive maintenance planning [J]. International Journal of Advanced Manufacturing Technology, 2010, 50(1/2/3/4):365-375. [17] WANG W B. An overview of the recent advances in delay-time-based maintenance modeling [J]. Reliability Engineering & System Safety, 2012, 106: 165-178. [18] JIA J S, WU S M. Optimizing replacement policy for a cold-standby system with waiting repair times [J].Applied Mathematics and Computation, 2009, 214(1):133-141. [19] EL-SHERBENY M S. Stochastic behavior of a twounit cold standby redundant system under Poisson shocks [J]. Arabian Journal for Science and Engineering,2017, 42(7): 3043-3053. [20] JIA X, CHEN H, CHENG Z J, et al. A comparison between two switching policies for two-unit standby system [J]. Reliability Engineering & System Safety,2016, 148: 109-118. [21] ZHONG C Q, JIN H B. A novel optimal preventive maintenance policy for a cold standby system based on semi-Markov theory [J]. European Journal of Operational Research, 2014, 232(2): 405-411. [22] ERYILMAZ S, TANK F. On reliability analysis of a two-dependent-unit series system with a standby unit [J]. Applied Mathematics and Computation, 2012,218(15): 7792-7797. [23] SALARI N, MAKIS V. Optimal preventive and opportunistic maintenance policy for a two-unit system[J]. International Journal of Advanced Manufacturing Technology, 2017, 89(1/2/3/4): 665-673. [24] LAI M T, YAN H. Optimal number of minimal repairs with cumulative repair cost limit for a two-unit system with failure rate interactions [J]. International Journal of Systems Science, 2016, 47(2): 466-473. [25] MANATOS A, KOUTRAS V P, PLATIS A N. Dependability and performance stochastic modeling of a two-unit repairable production system with preventive maintenance [J]. International Journal of Production Research, 2016, 54(21): 6395-6415. [26] GAO W K, ZHANG Z S, ZHOU Y F, et al. Optimal Quasi-periodic Preventive Maintenance Policies for a Two-unit Series System [J]. Journal of Southeast University(English Edition), 2013, 29(4): 450-455. [27] XIAO L, SONG S L, CHEN X H, et al. Joint optimization of production scheduling and machine group preventive maintenance [J]. Reliability Engineering & System Safety, 2016, 146: 68-78. [28] WANG S J, LIU M. Two-machine flow shop scheduling integrated with preventive maintenance planning [J].International Journal of Systems Science, 2016, 47(3):672-690. [29] WANG Z, YANG J, WANG G, et al. Application of three-parameter Weibull mixture model for reliability assessment of NC machine tools: a case study [J]. Proceedings of the Institution of Mechanical Engineers,Part C: Journal of Mechanical Engineering Science,2011, 225(11): 2718-2726. [30] SHEN G X, GU D W, ZHANG Y Z, et al. Optimal preventive maintenance interval period of CNC [J].Journal of Chongqing University, 2012. 35(1): 7-10(in Chinese).
Outlines

/