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Joint Planning of Production and Inspection of Parallel Machines with Two-phase of Failure

Author

Listed:
  • Azimpoor, Samareh
  • Taghipour, Sharareh
  • Farmanesh, Babak
  • Sharifi, Mani

Abstract

Utilizing available information on random machine breakdowns is highly effective in making joint production and inspection decisions. The current paper studies the joint planning of production schedule and inspection of identical parallel machines to process n jobs with different processing times. Each machine's failure is modeled using the two-stage delay time concept. The first stage is a defect arrival which does not cause a machine stoppage, but if it is not removed, may cause the machine failure. A machine's lifetime is divided into two stages in such a failure process: defect arrival and failure arrival stages. The defects and failures of the identical parallel machines follow non-linear and time-dependent distributions. Inspection activities are intended to identify potential defects in the machines and subsequently removing them prior to eventual failures. The objective is to establish the best jobs’ schedule of the machines and the best sequence of inspection decisions that minimize the expected makespan. For this problem, unequal defect and failure arrival rates for the machines impose some complications to the expected makespan calculation. Therefore, obtaining an integrated scheduling and inspection plan requires considering all possible combinations of the jobs order and inspections on the machines that further increase the complexity of the algorithm implementation. We propose a branch and bound (B&B) algorithm that restricts the search time and space and demonstrates the effectiveness of integrating inspection and maintenance operations with the jobs sequence to minimize the expected makespan. We propose an upper bound and develop a lower bound to assign the maximum number of jobs on the empty capacity of the machines. We analyze the impact of the model's parameters on the results of the B&B algorithm and validate the algorithm's performance by comparing the results with the analytical solutions for small-sized problems for which analytical solution exists.

Suggested Citation

  • Azimpoor, Samareh & Taghipour, Sharareh & Farmanesh, Babak & Sharifi, Mani, 2022. "Joint Planning of Production and Inspection of Parallel Machines with Two-phase of Failure," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:reensy:v:217:y:2022:i:c:s0951832021005949
    DOI: 10.1016/j.ress.2021.108097
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    References listed on IDEAS

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    1. Wang, Huiying & Wang, Wenbin & Peng, Rui, 2017. "A two-phase inspection model for a single component system with three-stage degradation," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 31-40.
    2. Gao, Kaiye & Peng, Rui & Qu, Li & Wu, Shaomin, 2020. "Jointly optimizing lot sizing and maintenance policy for a production system with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    3. Alberti, Alexandre R. & Cavalcante, Cristiano A.V. & Scarf, Philip & Silva, André L.O., 2018. "Modelling inspection and replacement quality for a protection system," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 145-153.
    4. Yang, Li & Ma, Xiaobing & Zhai, Qingqing & Zhao, Yu, 2016. "A delay time model for a mission-based system subject to periodic and random inspection and postponed replacement," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 96-104.
    5. Berrade, M.D. & Scarf, P.A. & Cavalcante, C.A.V., 2017. "A study of postponed replacement in a delay time model," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 70-79.
    6. Houda Ghamlouch & Mitra Fouladirad & Antoine Grall, 2019. "The use of real option in condition-based maintenance scheduling for wind turbines with production and deterioration uncertainties," Post-Print hal-02365402, HAL.
    7. Wang, Xiuli & Cheng, T.C.E., 2015. "A heuristic for scheduling jobs on two identical parallel machines with a machine availability constraint," International Journal of Production Economics, Elsevier, vol. 161(C), pages 74-82.
    8. Hajipour, Yassin & Taghipour, Sharareh, 2016. "Non-periodic inspection optimization of multi-component and k-out-of-m systems," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 228-243.
    9. Wang, Wenbin, 2012. "An overview of the recent advances in delay-time-based maintenance modelling," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 165-178.
    10. Liu, Gehui & Chen, Shaokuan & Jin, Hua & Liu, Shuang, 2021. "Optimum opportunistic maintenance schedule incorporating delay time theory with imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    11. Muter, İbrahim, 2020. "Exact algorithms to minimize makespan on single and parallel batch processing machines," European Journal of Operational Research, Elsevier, vol. 285(2), pages 470-483.
    12. Azimpoor, Samareh & Taghipour, Sharareh, 2021. "Joint inspection and product quality optimization for a system with delayed failure," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    13. Ghamlouch, Houda & Fouladirad, Mitra & Grall, Antoine, 2019. "The use of real option in condition-based maintenance scheduling for wind turbines with production and deterioration uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 614-623.
    14. Liu, Yu & Zhang, Qin & Ouyang, Zhiyuan & Huang, Hong-Zhong, 2021. "Integrated production planning and preventive maintenance scheduling for synchronized parallel machines," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    15. Cheng, Guoqing & Li, Ling, 2020. "Joint optimization of production, quality control and maintenance for serial-parallel multistage production systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    16. Yang, Hongbing & Li, Wenchao & Wang, Bin, 2021. "Joint optimization of preventive maintenance and production scheduling for multi-state production systems based on reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    17. R. Jamshidi & Mir Mehdi Seyyed Esfahani, 2015. "Reliability-based maintenance and job scheduling for identical parallel machines," International Journal of Production Research, Taylor & Francis Journals, vol. 53(4), pages 1216-1227, February.
    18. Xiao, Lei & Zhang, Xinghui & Tang, Junxuan & Zhou, Yaqin, 2020. "Joint optimization of opportunistic maintenance and production scheduling considering batch production mode and varying operational conditions," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    19. Turan, Hasan Hüseyin & Atmis, Mahir & Kosanoglu, Fuat & Elsawah, Sondoss & Ryan, Michael J., 2020. "A risk-averse simulation-based approach for a joint optimization of workforce capacity, spare part stocks and scheduling priorities in maintenance planning," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    20. Sharifi, Mani & Taghipour, Sharareh & Abhari, Abdolreza, 2021. "Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    21. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
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    Cited by:

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    3. Zhao, Fei & Peng, Rui & Zhang, Nan, 2023. "Inspection policy optimization for a k-out-of-n/Cl(k′,n′;F) system considering failure dependence: a case study," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
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    5. Kim, Seokgoo & Choi, Joo-Ho & Kim, Nam Ho, 2022. "Inspection schedule for prognostics with uncertainty management," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    6. Rasay, Hasan & Taghipour, Sharareh & Sharifi, Mani, 2022. "An integrated Maintenance and Statistical Process Control Model for a Deteriorating Production Process," Reliability Engineering and System Safety, Elsevier, vol. 228(C).

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