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Impact of random defective rate on lot size focusing work-in-process inventory in manufacturing system

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  • Chang Wook Kang
  • Misbah Ullah
  • Biswajit Sarkar
  • Iftikhar Hussain
  • Rehman Akhtar

Abstract

Literature has focused inventory models with intensive emphasis on imperfect production processes in recent past. However, the work-in-process-based inventory models have been ignored, relatively, in general and the impact of random defects in the form of reworkable and non-reworkable defect rate on lot size and total cost function in particular. This paper develops mathematical models for work-in-process-based inventory by incorporating the effect of random defects rate on lot size and expected total cost function. Our proposed models assume that defective products produced during the production process follow random distributions. Defective products, either in the form of reworkable or rejected production units, follow four types of distribution density functions: uniform, triangular, double triangular and beta distribution. Mathematical models are derived for optimum lot size based on minimization of expected total cost function through the analytical optimization approach. Numerical examples and detailed sensitivity analysis are carried to illustrate and compare the proposed models at different levels of distribution functions’ parameters.

Suggested Citation

  • Chang Wook Kang & Misbah Ullah & Biswajit Sarkar & Iftikhar Hussain & Rehman Akhtar, 2017. "Impact of random defective rate on lot size focusing work-in-process inventory in manufacturing system," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1748-1766, March.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:6:p:1748-1766
    DOI: 10.1080/00207543.2016.1235295
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    Citations

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    Cited by:

    1. Biswajit Sarkar & Muhammad Tayyab & Seok-Beom Choi, 2018. "Product Channeling in an O2O Supply Chain Management as Power Transmission in Electric Power Distribution Systems," Mathematics, MDPI, vol. 7(1), pages 1-12, December.
    2. Muhammad Tayyab & Biswajit Sarkar & Misbah Ullah, 2018. "Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty," Mathematics, MDPI, vol. 7(1), pages 1-18, December.
    3. Biswajit Sarkar & Waqas Ahmed & Seok-Beom Choi & Muhammad Tayyab, 2018. "Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period," Sustainability, MDPI, vol. 10(12), pages 1-28, December.
    4. Han-Wen Tuan & Gino K. Yang & Kuo-Chen Hung, 2020. "Inventory Models with Defective Units and Sub-Lot Inspection," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    5. Asl-Najafi, Javad & Yaghoubi, Saeed & Zand, Fatemeh, 2021. "Dual-channel supply chain coordination considering targeted capacity allocation under uncertainty," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 566-585.
    6. Anshu Dai & Guanzhou Wei & Zhaomin Zhang & Shuguang He, 2020. "Design of a flexible preventive maintenance strategy for two-dimensional warranted products," Journal of Risk and Reliability, , vol. 234(1), pages 74-87, February.
    7. Sarkar, Biswajit & Sarkar, Mitali & Ganguly, Baishakhi & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management," International Journal of Production Economics, Elsevier, vol. 231(C).
    8. Subhendu Ruidas & Mijanur Rahaman Seikh & Prasun Kumar Nayak, 2020. "An EPQ model with stock and selling price dependent demand and variable production rate in interval environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(2), pages 385-399, April.
    9. Bimal Kumar Sett & Bikash Koli Dey & Biswajit Sarkar, 2020. "Autonomated Inspection Policy for Smart Factory—An Improved Approach," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    10. Barun Khara & Jayanta Kumar Dey & Shyamal Kumar Mondal, 2021. "An integrated imperfect production system with advertisement dependent demand using branch and bound technique," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 508-546, June.
    11. Bikash Koli Dey & Biswajit Sarkar & Sarla Pareek, 2019. "A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate," Mathematics, MDPI, vol. 7(4), pages 1-25, April.

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