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A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering

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  • Ata Allah Taleizadeh

    (University of Tehran)

Abstract

In this paper, a multi-product single-machine economic production quantity model with preventive maintenance, scraped and rework is studied. Shortages are permitted and a fraction of them is backlogged. Capacity and service level are limitations of the production system. It is assumed that preventive maintenance can be performed when the inventory level is positive or negative. Indeed two different scenarios are modeled and according to the comparisons between their costs, a new scenario according to the best time of preventive maintenance is investigated and modeled. The aim of this research is to determine the best time for preventive maintenance, production and back-ordered quantities of each item and common cycle length, such that the expected total cost is minimized. The objective function of the final proposed model is proved to be convex and closed-form optimal solutions are derived. Two numerical examples based on a real application of the proposed model in a turning manufactory with only one computer numerical control machine applied to lathe metal plates to different sizes are used to illustrate the applicability of extended model and proposed solution method.

Suggested Citation

  • Ata Allah Taleizadeh, 2018. "A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering," Annals of Operations Research, Springer, vol. 261(1), pages 303-337, February.
    • Handle: RePEc:spr:annopr:v:261:y:2018:i:1:d:10.1007_s10479-017-2563-7
    DOI: 10.1007/s10479-017-2563-7
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    References listed on IDEAS

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    Cited by:

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    2. 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.
    3. Dharamender Singh & Anurag Jayswal & Majed G. Alharbi & Ali Akbar Shaikh, 2021. "An Investigation of a Supply Chain Model for Co-Ordination of Finished Products and Raw Materials in a Production System under Different Situations," Sustainability, MDPI, vol. 13(22), pages 1-25, November.
    4. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    5. Zhong-Zhong Jiang & Na He & Xuwei Qin & Minghe Sun & Pengfei Wang, 2022. "Optimizing production and maintenance for the service-oriented manufacturing supply chain," Annals of Operations Research, Springer, vol. 316(1), pages 33-58, September.
    6. Noura Yassine, 2020. "A sustainable economic production model: effects of quality and emissions tax from transportation," Annals of Operations Research, Springer, vol. 290(1), pages 73-94, July.
    7. Mahmud Akhter Shareef & Yogesh K. Dwivedi & Rafeed Mahmud & Angela Wright & Mohammad Mahboob Rahman & Hatice Kizgin & Nripendra P. Rana, 2019. "Disaster management in Bangladesh: developing an effective emergency supply chain network," Annals of Operations Research, Springer, vol. 283(1), pages 1463-1487, December.

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