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Transfer of Risk in Supply Chain Management with Joint Pricing and Inventory Decision Considering Shortages

Author

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  • Irfanullah Khan

    (Department of Industrial & Management Engineering, Hanyang University, Ansan 15588, Korea
    These authors contributed equally to this work.)

  • Biswajit Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Korea
    These authors contributed equally to this work.)

Abstract

This study is the first to consider a distribution-free approach in a newsvendor model with a transfer of risk and back-ordering. Previously, in many articles, discrete demand is considered. In this model, we consider a newsvendor selling a single seasonal item with price-dependent stochastic demand. Competition in markets has forced the retailer and manufacturer to coordinate in decentralized supply chain management. A coordination contract is made between a retailer and manufacturer to overcome the randomness of demand for a short-life-cycle product. The retailer pays an additional amount per product to transfer the risk of unsold items. The manufacturer bears the cost of unsold products from the retailer. Shortages are allowed with back-ordering costs during the season. The distribution-free model is developed and solved with only available demand data of mean and standard deviation. Stackelberg’s game approach is used to calculate the optimal ordering quality and price. This model aims to maximize expected profit by optimizing unit selling price and ordered quantity through coordination. To illustrate that the model is robust, numerical experiment and sensitivity analyses are conducted for both decentralized and centralized supply chain management. For applicability of the model in the real-world business scenario, managerial insights are provided with sensitivity analysis.

Suggested Citation

  • Irfanullah Khan & Biswajit Sarkar, 2021. "Transfer of Risk in Supply Chain Management with Joint Pricing and Inventory Decision Considering Shortages," Mathematics, MDPI, vol. 9(6), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:638-:d:518846
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    References listed on IDEAS

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    1. Jörnsten, Kurt & Lise Nonås, Sigrid & Sandal, Leif & Ubøe, Jan, 2013. "Mixed contracts for the newsvendor problem with real options and discrete demand," Omega, Elsevier, vol. 41(5), pages 809-819.
    2. Vincent Hovelaque & Jean-Laurent Viviani & Mohamed Ait Mansour, 2022. "Trade and bank credit in a non-cooperative chain with a price-sensitive demand," International Journal of Production Research, Taylor & Francis Journals, vol. 60(5), pages 1553-1568, March.
    3. Jörnsten, Kurt & Lise Nonås, Sigrid & Sandal, Leif & Ubøe, Jan, 2012. "Transfer of risk in the newsvendor model with discrete demand," Omega, Elsevier, vol. 40(3), pages 404-414.
    4. He, Haonan & Wang, Shanyong, 2019. "Cost-benefit associations in consumer inventory problem with uncertain benefit," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 271-284.
    5. Liao, Yi & Banerjee, Avijit & Yan, Changyuan, 2011. "A distribution-free newsvendor model with balking and lost sales penalty," International Journal of Production Economics, Elsevier, vol. 133(1), pages 224-227, September.
    6. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    7. Brojeswar Pal & Shib Sankar Sana & Kripasindhu Chaudhuri, 2015. "A distribution-free newsvendor problem with nonlinear holding cost," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1269-1277, May.
    8. Afshar-Nadjafi, Behrouz, 2016. "The influence of sale announcement on the optimal policy of an inventory system with perishable items," Journal of Retailing and Consumer Services, Elsevier, vol. 31(C), pages 239-245.
    9. Lijun Ma & Weili Xue & Yingxue Zhao & Qinghua Zeng, 2016. "Loss-averse newsvendor problem with supply risk," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(2), pages 214-228, February.
    10. Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
    11. Andersson, Jonas & Jörnsten, Kurt & Nonås, Sigrid Lise & Sandal, Leif & Ubøe, Jan, 2013. "A maximum entropy approach to the newsvendor problem with partial information," European Journal of Operational Research, Elsevier, vol. 228(1), pages 190-200.
    12. He, Xiuli & Khouja, Moutaz, 2011. "Pareto analysis of supply chain contracts under satisficing objectives," European Journal of Operational Research, Elsevier, vol. 214(1), pages 53-66, October.
    13. Donald B. Rosenfield, 1986. "Optimal Management of Tax-Sheltered Employee Reimbursement Programs," Interfaces, INFORMS, vol. 16(3), pages 68-72, June.
    14. Biswajit Sarkar & Chong Zhang & Arunava Majumder & Mitali Sarkar & Yong Won Seo, 2018. "A distribution free newsvendor model with consignment policy and retailer’s royalty reduction," International Journal of Production Research, Taylor & Francis Journals, vol. 56(15), pages 5025-5044, August.
    15. Ilkyeong Moon & Dong Kyoon Yoo & Subrata Saha, 2016. "The Distribution-Free Newsboy Problem with Multiple Discounts and Upgrades," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, August.
    16. Biswajit Sarkar & Bikash Koli Dey & Mitali Sarkar & Ali AlArjani, 2021. "A Sustainable Online-to-Offline (O2O) Retailing Strategy for a Supply Chain Management under Controllable Lead Time and Variable Demand," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
    17. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    18. Ji Seong Noh & Jong Soo Kim & Biswajit Sarkar, 2019. "Stochastic joint replenishment problem with quantity discounts and minimum order constraints," Operational Research, Springer, vol. 19(1), pages 151-178, March.
    19. Lee, Hwansik & Lodree Jr., Emmett J., 2010. "Modeling customer impatience in a newsboy problem with time-sensitive shortages," European Journal of Operational Research, Elsevier, vol. 205(3), pages 595-603, September.
    20. Ghosh, Debabrata & Shah, Janat, 2012. "A comparative analysis of greening policies across supply chain structures," International Journal of Production Economics, Elsevier, vol. 135(2), pages 568-583.
    21. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "A newsboy problem with an emergency order under a general backorder rate function," Omega, Elsevier, vol. 41(6), pages 1020-1028.
    22. Taleizadeh, Ata Allah & Shokr, Iman & Konstantaras, Ioannis & VafaeiNejad, Mahyar, 2020. "Stock replenishment policies for a vendor-managed inventory in a retailing system," Journal of Retailing and Consumer Services, Elsevier, vol. 55(C).
    23. Jörnsten, Kurt & Nonås, Sigrid Lise & Sandal, Leif K. & Ubøe, Jan, 2011. "Mixed contracts for the newsvendor problem with real options," Discussion Papers 2011/6, Norwegian School of Economics, Department of Business and Management Science.
    24. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    25. V. Pando & L. San-José & J. García-Laguna & J. Sicilia, 2014. "Some general properties for the newsboy problem with an extraordinary order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 674-693, July.
    26. Lodree, Emmett Jr., 2007. "Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract," European Journal of Operational Research, Elsevier, vol. 181(1), pages 168-183, August.
    27. Xu, Xinsheng & Wang, Hongwei & Dang, Chuangyin & Ji, Ping, 2017. "The loss-averse newsvendor model with backordering," International Journal of Production Economics, Elsevier, vol. 188(C), pages 1-10.
    28. Kwon, Kysang & Cheong, Taesu, 2014. "A minimax distribution-free procedure for a newsvendor problem with free shipping," European Journal of Operational Research, Elsevier, vol. 232(1), pages 234-240.
    29. Lee, Chih-Ming & Hsu, Shu-Lu, 2011. "The effect of advertising on the distribution-free newsboy problem," International Journal of Production Economics, Elsevier, vol. 129(1), pages 217-224, January.
    30. Irfanullah Khan & Jihed Jemai & Han Lim & Biswajit Sarkar, 2019. "Effect of Electrical Energy on the Manufacturing Setup Cost Reduction, Transportation Discounts, and Process Quality Improvement in a Two-Echelon Supply Chain Management under a Service-Level Constrai," Energies, MDPI, vol. 12(19), pages 1-32, September.
    31. Olbrich, Rainer & Jansen, Hans Christian & Hundt, Michael, 2017. "Effects of pricing strategies and product quality on private label and national brand performance," Journal of Retailing and Consumer Services, Elsevier, vol. 34(C), pages 294-301.
    32. Dai, Jiansheng & Meng, Weidong, 2015. "A risk-averse newsvendor model under marketing-dependency and price-dependency," International Journal of Production Economics, Elsevier, vol. 160(C), pages 220-229.
    33. Sana, Shib Sankar, 2020. "Price competition between green and non green products under corporate social responsible firm," Journal of Retailing and Consumer Services, Elsevier, vol. 55(C).
    34. Fan, Yinghua & Feng, Yi & Shou, Yongyi, 2020. "A risk-averse and buyer-led supply chain under option contract: CVaR minimization and channel coordination," International Journal of Production Economics, Elsevier, vol. 219(C), pages 66-81.
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