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A Continuous Review Production-Inventory System with a Variable Preparation Time in a Fuzzy Random Environment

Author

Listed:
  • Amalendu Singha Mahapatra

    (Department of Basic Science and Humanities, Techno International New Town (Formerly Techno India College of Technology), Rajarhat 700156, Kolkata, India)

  • Hardik N Soni

    (Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad 380015, Gujarat, India)

  • Maheswar Singha Mahapatra

    (School of Business, FLAME University, Pune 412115, India)

  • Biswajit Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Korea)

  • Sanat Majumder

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur 711103, West Bengal, India)

Abstract

With the increase in the varieties products and the increasing uncertainty about product demand, the production preparation time is a significant factor in addressing these issues. The trade-off between the reduction of the production preparation time and the associated cost remains a critical decision. With this backdrop, this study presents a continuous review production-inventory model with a variable production preparation time and a time-dependent setup cost. The demand during the preparation time is captured through a min-max distribution-free approach. In a stochastic framework, the order quantity, reorder point, and setup time are optimized by minimizing the expected cost considering the time-value effect. Further, a fuzzy model is formulated to tackle the imprecise nature of the production setup time and demand. Two algorithms are developed using an analytical approach to obtain the optimal solution. A numerical illustration is given to present the key insights of the model for effective inventory management. It is observed that order quantity and total cost are more sensitive at the lower side of the optimal setup time rather than at the higher side. The discount rate is also found to be a sensitive factor while minimizing the total expected cost.

Suggested Citation

  • Amalendu Singha Mahapatra & Hardik N Soni & Maheswar Singha Mahapatra & Biswajit Sarkar & Sanat Majumder, 2021. "A Continuous Review Production-Inventory System with a Variable Preparation Time in a Fuzzy Random Environment," Mathematics, MDPI, vol. 9(7), pages 1-27, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:747-:d:527415
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    References listed on IDEAS

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    1. Dipak Kumar Jana & Barun Das & Tapan Kumar Roy, 2013. "A Partial Backlogging Inventory Model for Deteriorating Item under Fuzzy Inflation and Discounting over Random Planning Horizon: A Fuzzy Genetic Algorithm Approach," Advances in Operations Research, Hindawi, vol. 2013, pages 1-13, July.
    2. Sarker, Bhaba R. & Coates, Eyler Robert, 1997. "Manufacturing setup cost reduction under variable lead times and finite opportunities for investment," International Journal of Production Economics, Elsevier, vol. 49(3), pages 237-247, May.
    3. Oshmita Dey, 2019. "A fuzzy random integrated inventory model with imperfect production under optimal vendor investment," Operational Research, Springer, vol. 19(1), pages 101-115, March.
    4. Jonas C. P. Yu & Hui-Ming Wee & Gede A. Widyadana & Jer-Yuan Chang, 2010. "The Effects Of Inflation And Time Value Of Money On A Production Model With A Random Product Life Cycle," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(04), pages 437-456.
    5. Kim, Jeon G. & Chatfield, Dean & Harrison, Terry P. & Hayya, Jack C., 2006. "Quantifying the bullwhip effect in a supply chain with stochastic lead time," European Journal of Operational Research, Elsevier, vol. 173(2), pages 617-636, September.
    6. C. Krishnamoorthi & S. Panayappan, 2013. "An EPQ model for an imperfect production system with rework and shortages," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(1), pages 104-124.
    7. Mitali Sarkar & Byung Do Chung, 2020. "Flexible work-in-process production system in supply chain management under quality improvement," International Journal of Production Research, Taylor & Francis Journals, vol. 58(13), pages 3821-3838, July.
    8. Panda, D. & Kar, S. & Maity, K. & Maiti, M., 2008. "A single period inventory model with imperfect production and stochastic demand under chance and imprecise constraints," European Journal of Operational Research, Elsevier, vol. 188(1), pages 121-139, July.
    9. Wee, Hui-Ming & Huang, Yen-Deng & Wang, Wan-Tsu & Cheng, Yung-Lung, 2014. "An EPQ model with partial backorders considering two backordering costs," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 898-907.
    10. Dey, Jayanta Kumar & Mondal, Shyamal Kumar & Maiti, Manoranjan, 2008. "Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money," European Journal of Operational Research, Elsevier, vol. 185(1), pages 170-194, February.
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