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The effects of contractual agreements on the economic production quantity model with machine breakdown

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  • Peymankar, Mahboobe
  • Dehghanian, Farzad
  • Ghiami, Yousef
  • Abolbashari, Mohammad Hassan

Abstract

This paper develops a production-inventory model which is subject to breakdowns, and studies the influence of outsourcing on the expected total cost and the fill rate in case of any failure in the production facility. To avoid shortages and aim at a higher fill rate when there are random breakdowns, the manufacturer has the option to purchase some quantities from an external supplier while repairing the production facility. In this paper, this transaction is formulated through different settings. First, the manufacturer has the option to purchase the items from an available supplier in the market. The manufacturer is also given the option to procure the required items from a predetermined supplier based on a contractual agreement. These scenarios are then compared with the setting in which the manufacturer keeps safety stock in case of breakdown. The results of this study show that using an external supplier, when the machine is prone to failures, improves the performance of the system. We have also shown that it is more beneficial for the manufacturer to collaborate with an external supplier rather than keep safety stock. The analysis is further elaborated using several numerical experiments.

Suggested Citation

  • Peymankar, Mahboobe & Dehghanian, Farzad & Ghiami, Yousef & Abolbashari, Mohammad Hassan, 2018. "The effects of contractual agreements on the economic production quantity model with machine breakdown," International Journal of Production Economics, Elsevier, vol. 201(C), pages 203-215.
    • Handle: RePEc:eee:proeco:v:201:y:2018:i:c:p:203-215
    DOI: 10.1016/j.ijpe.2018.05.006
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    1. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Lot Sizing with Machine Breakdowns," Management Science, INFORMS, vol. 38(1), pages 104-123, January.
    2. Hu, Benyong & Meng, Chao & Xu, Dong & Son, Young-Jun, 2016. "Three-echelon supply chain coordination with a loss-averse retailer and revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 179(C), pages 192-202.
    3. Vafa Arani, Hamed & Rabbani, Masoud & Rafiei, Hamed, 2016. "A revenue-sharing option contract toward coordination of supply chains," International Journal of Production Economics, Elsevier, vol. 178(C), pages 42-56.
    4. T. Bielecki & P. R. Kumar, 1988. "Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems," Operations Research, INFORMS, vol. 36(4), pages 532-541, August.
    5. Dohi, Tadashi & Okamura, Hiroyuki & Osaki, Shunji, 2001. "Optimal control of preventive maintenance schedule and safety stocks in an unreliable manufacturing environment," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 147-155, December.
    6. Cai, Jianhu & Zhong, Man & Shang, Jennifer & Huang, Weilai, 2017. "Coordinating VMI supply chain under yield uncertainty: Option contract, subsidy contract, and replenishment tactic," International Journal of Production Economics, Elsevier, vol. 185(C), pages 196-210.
    7. Liao, Gwo-Liang & Chen, Yen Hung & Sheu, Shey-Huei, 2009. "Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance," European Journal of Operational Research, Elsevier, vol. 195(2), pages 348-357, June.
    8. Ghiami, Yousef & Beullens, Patrick, 2016. "Planning for shortages? Net Present Value analysis for a deteriorating item with partial backlogging," International Journal of Production Economics, Elsevier, vol. 178(C), pages 1-11.
    9. Aghezzaf, E.H. & Jamali, M.A. & Ait-Kadi, D., 2007. "An integrated production and preventive maintenance planning model," European Journal of Operational Research, Elsevier, vol. 181(2), pages 679-685, September.
    10. Glock, C. H., 2013. "The machine breakdown paradox: How random shifts in the production rate may increase company profits," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62254, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    11. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    12. Johansen, Søren Glud & Thorstenson, Anders, 2014. "Emergency orders in the periodic-review inventory system with fixed ordering costs and compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 157(C), pages 147-157.
    13. Meng, Qingfeng & Li, Zhen & Liu, Huimin & Chen, Jingxian, 2017. "Agent-based simulation of competitive performance for supply chains based on combined contracts," International Journal of Production Economics, Elsevier, vol. 193(C), pages 663-676.
    14. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2008. "Production lot sizing with process deterioration and machine breakdown," European Journal of Operational Research, Elsevier, vol. 185(2), pages 606-618, March.
    15. M. Berg & M. J. M. Posner & H. Zhao, 1994. "Production-Inventory Systems with Unreliable Machines," Operations Research, INFORMS, vol. 42(1), pages 111-118, February.
    16. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
    17. Kazaz, Burak & Sloan, Thomas W., 2013. "The impact of process deterioration on production and maintenance policies," European Journal of Operational Research, Elsevier, vol. 227(1), pages 88-100.
    18. Xiao, Shuang & Sethi, Suresh P. & Liu, Mengqi & Ma, Shihua, 2017. "Coordinating contracts for a financially constrained supply chain," Omega, Elsevier, vol. 72(C), pages 71-86.
    19. Giri, B. C. & Yun, W. Y. & Dohi, T., 2005. "Optimal design of unreliable production-inventory systems with variable production rate," European Journal of Operational Research, Elsevier, vol. 162(2), pages 372-386, April.
    20. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2009. "Production lot sizing with process deterioration and machine breakdown under inspection schedule," Omega, Elsevier, vol. 37(2), pages 257-271, April.
    21. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Batching with Machine Breakdowns and Safety Stocks," Operations Research, INFORMS, vol. 40(5), pages 959-971, October.
    22. Ki Ling Cheung & Warren H. Hausman, 1997. "Joint determination of preventive maintenance and safety stocks in an unreliable production environment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 257-272, April.
    23. Sana, Shib Sankar, 2010. "An economic production lot size model in an imperfect production system," European Journal of Operational Research, Elsevier, vol. 201(1), pages 158-170, February.
    24. Chen, Xu & Wan, Nana & Wang, Xiaojun, 2017. "Flexibility and coordination in a supply chain with bidirectional option contracts and service requirement," International Journal of Production Economics, Elsevier, vol. 193(C), pages 183-192.
    25. El-Ferik, Sami, 2008. "Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy," European Journal of Operational Research, Elsevier, vol. 186(1), pages 150-163, April.
    26. Bouslah, Bassem & Gharbi, Ali & Pellerin, Robert, 2013. "Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system," International Journal of Production Economics, Elsevier, vol. 144(1), pages 143-156.
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