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A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule

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  • Wee, Hui Ming
  • Widyadana, Gede Agus

Abstract

Due to unreliable production facility and stochastic preventive maintenance, deriving an optimal production inventory decision in practice is very complicated. In this paper, we develop a production model for deteriorating items with stochastic preventive maintenance time and rework using the first in first out (FIFO) rule. From our literature search, no study has been done on the above problem. The problem is solved using a simple search procedure; this makes it more practical for use by industries. Two case examples using uniform and exponential distribution preventive maintenance time are applied. Examples and sensitivity analysis are conducted for each case. The results show that rework and preventive maintenance time have significant affected the total cost and the optimal production time. This provides helpful managerial insights to help management in making smart decisions.

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  • Wee, Hui Ming & Widyadana, Gede Agus, 2013. "A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule," Omega, Elsevier, vol. 41(6), pages 941-954.
    • Handle: RePEc:eee:jomega:v:41:y:2013:i:6:p:941-954
    DOI: 10.1016/j.omega.2012.12.001
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    3. K.Y. Kung & Y.D. Huang & H.M. Wee & Y. Daryanto, 2019. "Production-Inventory System for Deteriorating Items with Machine Breakdown, Inspection, and Partial Backordering," Mathematics, MDPI, vol. 7(7), pages 1-26, July.
    4. Harun Öztürk, 2019. "Modeling an inventory problem with random supply, inspection and machine breakdown," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 497-527, June.
    5. Harun Öztürk, 2021. "Optimal production run time for an imperfect production inventory system with rework, random breakdowns and inspection costs," Operational Research, Springer, vol. 21(1), pages 167-204, March.
    6. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    7. Assid, M. & Gharbi, A. & Dhouib, K., 2015. "Joint production and subcontracting planning of unreliable multi-facility multi-product production systems," Omega, Elsevier, vol. 50(C), pages 54-69.
    8. Liping Liu & Lining Jiang & Ding Zhang, 2017. "An integrated model of statistical process control and condition-based maintenance for deteriorating systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1452-1460, November.
    9. Florian Jaehn & Sergey Kovalev & Mikhail Y. Kovalyov & Erwin Pesch, 2014. "Multiproduct batching and scheduling with buffered rework: The case of a car paint shop," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(6), pages 458-471, September.
    10. Hauck, Zsuzsanna & Vörös, József, 2015. "Lot sizing in case of defective items with investments to increase the speed of quality control," Omega, Elsevier, vol. 52(C), pages 180-189.
    11. Prasanta Kumar Ghosh & Amalesh Kumar Manna & Jayanta Kumar Dey & Samarjit Kar, 2023. "Optimal production run in an imperfect production process with maintenance under warranty and product insurance," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 720-752, June.
    12. Chen, Cheng-Kang & Lo, Chih-Chung & Weng, Tzu-Chun, 2017. "Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period," European Journal of Operational Research, Elsevier, vol. 259(2), pages 401-412.
    13. Bouslah, B. & Gharbi, A. & Pellerin, R., 2016. "Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint," Omega, Elsevier, vol. 61(C), pages 110-126.
    14. Kim, Jerim & Son, Sung-Yong & Lee, Jung-Min & Ha, Hyung-Tae, 2017. "Scheduling and performance analysis under a stochastic model for electric vehicle charging stations," Omega, Elsevier, vol. 66(PB), pages 278-289.
    15. Baldi, Mauro M. & Heinicke, Franziska & Simroth, Axel & Tadei, Roberto, 2016. "New heuristics for the Stochastic Tactical Railway Maintenance Problem," Omega, Elsevier, vol. 63(C), pages 94-102.
    16. Tiwari, Sunil & Kazemi, Nima & Modak, Nikunja Mohan & Cárdenas-Barrón, Leopoldo Eduardo & Sarkar, Sumon, 2020. "The effect of human errors on an integrated stochastic supply chain model with setup cost reduction and backorder price discount," International Journal of Production Economics, Elsevier, vol. 226(C).
    17. S. Priyan & P. Manivannan, 2017. "Optimal inventory modeling of supply chain system involving quality inspection errors and fuzzy defective rate," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 21-43, March.
    18. Gharbi, Ali & Kenné, Jean-Pierre & Kaddachi, Rawia, 2022. "Dynamic optimal control and simulation for unreliable manufacturing systems under perishable product and shelf life variability," International Journal of Production Economics, Elsevier, vol. 247(C).
    19. Li, Ting & He, Shuguang & Zhao, Xiujie & Liu, Bin, 2023. "Warranty service contracts design for deteriorating products with maintenance duration commitments," International Journal of Production Economics, Elsevier, vol. 264(C).

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