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Optimal Replenishment Policy for Deteriorating Products in a Newsboy Problem with Multiple Just-in-Time Deliveries

Author

Listed:
  • Abu Hashan Md Mashud

    (Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur 5200, Bangladesh)

  • Hui-Ming Wee

    (Department of Industrial and Systems Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan)

  • Chiao-Ven Huang

    (Department of Industrial and Systems Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan)

  • Jei-Zheng Wu

    (Department of Business Administration, Soochow University, 56 Section 1, Kuei-yang Street, Taipei 10048, Taiwan
    If you are interested or have any doubt of this article, please contact Jei-Zheng Wu ( jzwu@scu.edu.tw ) first.)

Abstract

Product deterioration is a common phenomenon and is overlooked in most contemporary research on the newsboy problem. In this study, we have considered product deterioration in a production–inventory newsboy model based on multiple just-in-time (JIT) deliveries. This model is solved by a classical optimization technique for the manufacturer production size, wholesale price, replenishment plan, and retailer order policy using a distribution-free approach. Moreover, in order to improve business and entice more customers, a return policy and a post-sale warranty policy is adopted in the model. Theoretical development and numerical examples are provided to demonstrate the validity of this approach.

Suggested Citation

  • Abu Hashan Md Mashud & Hui-Ming Wee & Chiao-Ven Huang & Jei-Zheng Wu, 2020. "Optimal Replenishment Policy for Deteriorating Products in a Newsboy Problem with Multiple Just-in-Time Deliveries," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1981-:d:441096
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    References listed on IDEAS

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    1. Dutta, Pankaj & Chakraborty, Debjani, 2010. "Incorporating one-way substitution policy into the newsboy problem with imprecise customer demand," European Journal of Operational Research, Elsevier, vol. 200(1), pages 99-110, January.
    2. Batrancea Larissa & Rathnaswamy Malar Maran & Batrancea Ioan & Nichita Anca & Rus Mircea-Iosif & Tulai Horia & Fatacean Gheorghe & Masca Ema Speranta & Morar Ioan Dan, 2020. "Adjusted Net Savings of CEE and Baltic Nations in the Context of Sustainable Economic Growth: A Panel Data Analysis," JRFM, MDPI, vol. 13(10), pages 1-17, October.
    3. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    4. Nassimbeni, Guido, 1996. "Factors underlying operational JIT purchasing practices: Results of an empirical research," International Journal of Production Economics, Elsevier, vol. 42(3), pages 275-288, April.
    5. Alfares, Hesham K. & Elmorra, Hassan H., 2005. "The distribution-free newsboy problem: Extensions to the shortage penalty case," International Journal of Production Economics, Elsevier, vol. 93(1), pages 465-477, January.
    6. Yeh, Ruey Huei & Ho, Wen-Tsung & Tseng, Sheng-Tsaing, 2000. "Optimal production run length for products sold with warranty," European Journal of Operational Research, Elsevier, vol. 120(3), pages 575-582, February.
    7. Pankaj Dutta, 2010. "A multi-product newsboy problem with fuzzy customer demand and a storage space constraint," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 8(2), pages 230-246.
    8. Rossi, Roberto & Prestwich, Steven & Tarim, S. Armagan & Hnich, Brahim, 2014. "Confidence-based optimisation for the newsvendor problem under binomial, Poisson and exponential demand," European Journal of Operational Research, Elsevier, vol. 239(3), pages 674-684.
    9. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    10. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    11. Wang, Chih-Hsiung & Sheu, Shey-Heui, 2003. "Optimal lot sizing for products sold under free-repair warranty," European Journal of Operational Research, Elsevier, vol. 149(1), pages 131-141, August.
    12. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    13. K.Y. Kung & Y.D. Huang & H.M. Wee & Y. Daryanto, 2019. "Production-Inventory System for Deteriorating Items with Machine Breakdown, Inspection, and Partial Backordering," Mathematics, MDPI, vol. 7(7), pages 1-26, July.
    14. Gary D. Eppen, 1979. "Note--Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem," Management Science, INFORMS, vol. 25(5), pages 498-501, May.
    15. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    16. Zhou, Yong-Wu & Wang, Sheng-Dong, 2009. "Manufacturer-buyer coordination for newsvendor-type-products with two ordering opportunities and partial backorders," European Journal of Operational Research, Elsevier, vol. 198(3), pages 958-974, November.
    17. M Cherikh, 2000. "On the effect of centralisation on expected profits in a multi-location Newsboy problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 755-761, June.
    18. Sadao Sakakibara & Barbara B. Flynn & Roger G. Schroeder & William T. Morris, 1997. "The Impact of Just-in-Time Manufacturing and Its Infrastructure on Manufacturing Performance," Management Science, INFORMS, vol. 43(9), pages 1246-1257, September.
    19. T-M Choi & D Li & H Yan, 2003. "Optimal two-stage ordering policy with Bayesian information updating," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 846-859, August.
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    Cited by:

    1. Rung-Hung Su & Dong-Yuh Yang & He-Jhen Lin & Yu-Cheng Yang, 2023. "Estimating conservative profitability of a newsboy-type product with exponentially distributed demand based on multiple samples," Annals of Operations Research, Springer, vol. 322(2), pages 967-989, March.

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