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A hybrid finite production rate system featuring random breakdown and rework

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  • Chiu, Singa Wang
  • Chen, Hui-Cun
  • Wu, Hua-Yao
  • Chiu, Yuan-Shyi Peter

Abstract

To reduce the order response time or achieve optimal utilization, manufacturers often include an outsourcing alternative in their production plans. Further, undesirable machine breakdowns and nonconforming items produced during the in-house processes must also be effectively managed/corrected to adhere to the fabrication schedules and meet the desired quality level. This study addresses the aforementioned concerns by examining a hybrid finite production rate (FPR) system featuring: breakdown that follows the Poisson distribution, and rework/repair of all the nonconforming goods produced. A portion of the batch size is outsourced to an external supplier, who guarantees quality but at a higher unit cost than that incurred in-house. A mathematical model is explicitly built to represent the features of the proposed hybrid FPR system. We use the optimization approach and an algorithm to determine the optimal replenishing runtime that minimizes total costs; results are demonstrated through a numerical example and sensitivity analyses. Diverse crucial system information available to assist manufacturers in production planning includes the individual and joint influence of rework, outsourcing, and breakdown on: (a) variable rework cost; (b) the optimal runtime; (c) total system cost; (d) utilization; (e) detail of system's cost elements; and (f) other important system parameters.

Suggested Citation

  • Chiu, Singa Wang & Chen, Hui-Cun & Wu, Hua-Yao & Chiu, Yuan-Shyi Peter, 2020. "A hybrid finite production rate system featuring random breakdown and rework," Operations Research Perspectives, Elsevier, vol. 7(C).
    • Handle: RePEc:eee:oprepe:v:7:y:2020:i:c:s2214716019301897
    DOI: 10.1016/j.orp.2020.100142
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    References listed on IDEAS

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    1. Yossef Spiegel, 1993. "Horizontal Subcontracting," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 570-590, Winter.
    2. Herbert Hamers & Flip Klijn & Marco Slikker, 2019. "Implementation of optimal schedules in outsourcing with identical suppliers," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(2), pages 173-187, April.
    3. Gan, Shu-San & Pujawan, I Nyoman & Suparno, & Widodo, Basuki, 2018. "Pricing decisions for short life-cycle product in a closed-loop supply chain with random yield and random demands," Operations Research Perspectives, Elsevier, vol. 5(C), pages 174-190.
    4. 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.
    5. Abdel-Malek, Layek & Asadathorn, Nutthapol, 1996. "An analytical approach to process planning with rework option," International Journal of Production Economics, Elsevier, vol. 46(1), pages 511-520, December.
    6. Saari, Juhamatti & Odelius, Johan, 2018. "Detecting operation regimes using unsupervised clustering with infected group labelling to improve machine diagnostics and prognostics," Operations Research Perspectives, Elsevier, vol. 5(C), pages 232-244.
    7. Chiu, Singa Wang & Wu, Cheng-Sian & Tseng, Chao-Tang, 2019. "Incorporating an expedited rate, rework, and a multi-shipment policy into a multi-item stock refilling system," Operations Research Perspectives, Elsevier, vol. 6(C).
    8. Brojeswar Pal & Shib Sana & Kripasindhu Chaudhuri, 2013. "Maximising profits for an EPQ model with unreliable machine and rework of random defective items," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 582-594.
    9. Candace A. Yano & Elizabeth J. Durango-Cohen & Liad Wagman, 2017. "Outsourcing in place: Should a retailer sell its store-brand factory?," IISE Transactions, Taylor & Francis Journals, vol. 49(4), pages 442-459, April.
    10. Anatoly Nazarov & János Sztrik & Anna Kvach & Tamás Bérczes, 2019. "Asymptotic analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs," Annals of Operations Research, Springer, vol. 277(2), pages 213-229, June.
    11. Keith Skowronski & W.C. Benton, 2018. "The Influence of Intellectual Property Rights on Poaching in Manufacturing Outsourcing," Production and Operations Management, Production and Operations Management Society, vol. 27(3), pages 531-552, March.
    12. Chiu, Singa Wang & Liang, Gang-Ming & Chiu, Yuan-Shyi Peter & Chiu, Tiffany, 2019. "Production planning incorporating issues of reliability and backlogging with service level constraint," Operations Research Perspectives, Elsevier, vol. 6(C).
    13. Mohammad Mohammadi, 2017. "The Tradeoff between Outsourcing and Using More Factories in a Distributed Flow Shop System," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 279-295.
    14. Zhang, Bin & Du, Shaofu, 2010. "Multi-product newsboy problem with limited capacity and outsourcing," European Journal of Operational Research, Elsevier, vol. 202(1), pages 107-113, April.
    15. Chiu, Yuan-Shyi Peter & Chiu, Victoria & Lin, Hong-Dar & Chang, Huei-Hsin, 2019. "Meeting multiproduct demand with a hybrid inventory replenishment system featuring quality reassurance," Operations Research Perspectives, Elsevier, vol. 6(C).
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