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A single-period stocking and pricing problem involving stochastic emergency supply

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  • Serel, Doğan A.

Abstract

We develop a model for determining jointly optimal price and production policy of products with short life cycles subject to partially uncertain supply capacity. Within the price-setting newsvendor framework, we consider that demand in excess of the stocking quantity can be met by an emergency order. Due to the randomness of emergency supply capacity, it may not always be possible to satisfy the demand completely. Assuming that all customers are charged the same price, we explore the optimal sourcing and pricing decisions in the commonly used additive and multiplicative demand scenarios. The first-order conditions imply that the optimal price in the problem with random emergency supply is less than the optimal price associated with the deterministic demand problem when demand uncertainty is additive, and it is greater than the optimal price associated with the deterministic demand problem when demand uncertainty is multiplicative. We also find that the same type of comparative static applies in the multiplicative uncertainty case when there exists a dual source emergency system consisting of a perfectly reliable supplier and a second supplier with a stochastic capacity.

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  • Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    • Handle: RePEc:eee:proeco:v:185:y:2017:i:c:p:180-195
    DOI: 10.1016/j.ijpe.2016.12.016
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    as
    1. Oecd & Nea, 2012. "Intergovernmental organisation activities," Nuclear Law Bulletin, OECD Publishing, vol. 2012(1), pages 141-146.
    2. Ocde & Aen, 2012. "Activités des organisations intergouvernementales," Bulletin de droit nucléaire, Éditions OCDE, vol. 2012(1), pages 153-159.
    3. Zhu, Stuart X., 2015. "Dynamic replenishment from two sources with different yields, costs, and leadtimes," International Journal of Production Economics, Elsevier, vol. 165(C), pages 79-89.
    4. Li, Xiang & Li, Yongjian & Cai, Xiaoqiang, 2013. "Double marginalization and coordination in the supply chain with uncertain supply," European Journal of Operational Research, Elsevier, vol. 226(2), pages 228-236.
    5. Yeo, Wee Meng & Yuan, Xue-Ming, 2011. "Optimal inventory policy with supply uncertainty and demand cancellation," European Journal of Operational Research, Elsevier, vol. 211(1), pages 26-34, May.
    6. Cattani, Kyle D. & Dahan, Ely & Schmidt, Glen M., 2008. "Tailored capacity: Speculative and reactive fabrication of fashion goods," International Journal of Production Economics, Elsevier, vol. 114(2), pages 416-430, August.
    7. Qing Li & Shaohui Zheng, 2006. "Joint Inventory Replenishment and Pricing Control for Systems with Uncertain Yield and Demand," Operations Research, INFORMS, vol. 54(4), pages 696-705, August.
    8. Oecd & Nea, 2012. "Intergovernmental organisation activities," Nuclear Law Bulletin, OECD Publishing, vol. 2011(2), pages 99-106.
    9. 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.
    10. Serel, Doğan A., 2015. "Production and pricing policies in dual sourcing supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 1-12.
    11. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    12. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "The risk-averse newsvendor problem with random capacity," European Journal of Operational Research, Elsevier, vol. 231(2), pages 328-336.
    13. Hua, Guowei & Wang, Shouyang & Cheng, T.C.E., 2012. "Optimal pricing and order quantity for the newsvendor problem with free shipping," International Journal of Production Economics, Elsevier, vol. 135(1), pages 162-169.
    14. Diwakar Gupta & William L. Cooper, 2005. "Stochastic Comparisons in Production Yield Management," Operations Research, INFORMS, vol. 53(2), pages 377-384, April.
    15. Maqbool Dada & Nicholas C. Petruzzi & Leroy B. Schwarz, 2007. "A Newsvendor's Procurement Problem when Suppliers Are Unreliable," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 9-32, August.
    16. Begen, Mehmet A. & Pun, Hubert & Yan, Xinghao, 2016. "Supply and demand uncertainty reduction efforts and cost comparison," International Journal of Production Economics, Elsevier, vol. 180(C), pages 125-134.
    17. Jammernegg, Werner & Kischka, Peter, 2013. "The price-setting newsvendor with service and loss constraints," Omega, Elsevier, vol. 41(2), pages 326-335.
    18. 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.
    19. Harish Krishnan & Ralph A. Winter, 2007. "Vertical Control of Price and Inventory," American Economic Review, American Economic Association, vol. 97(5), pages 1840-1857, December.
    20. Raluca Andreea ION, 2012. "Analysis of Organic Farming Sector in Romania," REVISTA DE MANAGEMENT COMPARAT INTERNATIONAL/REVIEW OF INTERNATIONAL COMPARATIVE MANAGEMENT, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 13(3), pages 449-455, July.
    21. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    22. Jakšič, M. & Fransoo, J.C., 2015. "Optimal inventory management with supply backordering," International Journal of Production Economics, Elsevier, vol. 159(C), pages 254-264.
    23. Sayın, F. & Karaesmen, F. & Özekici, S., 2014. "Newsvendor model with random supply and financial hedging: Utility-based approach," International Journal of Production Economics, Elsevier, vol. 154(C), pages 178-189.
    24. Ocde & Aen, 2012. "Activités des organisations intergouvernementales," Bulletin de droit nucléaire, Éditions OCDE, vol. 2011(2), pages 107-114.
    25. Xu, Minghui & Chen, Youhua (Frank) & Xu, Xiaolin, 2010. "The effect of demand uncertainty in a price-setting newsvendor model," European Journal of Operational Research, Elsevier, vol. 207(2), pages 946-957, December.
    26. Xu, Minghui & Lu, Ye, 2013. "The effect of supply uncertainty in price-setting newsvendor models," European Journal of Operational Research, Elsevier, vol. 227(3), pages 423-433.
    27. Edwin S. Mills, 1959. "Uncertainty and Price Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 73(1), pages 116-130.
    28. Xu, Xiaolin & Cai, Xiaoqiang & Chen, Youhua, 2011. "Unimodality of price-setting newsvendor's objective function with multiplicative demand and its applications," International Journal of Production Economics, Elsevier, vol. 133(2), pages 653-661, October.
    29. Serel, Dogan A., 2008. "Inventory and pricing decisions in a single-period problem involving risky supply," International Journal of Production Economics, Elsevier, vol. 116(1), pages 115-128, November.
    30. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    31. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
    32. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
    33. S. Özekici & M. Parlar, 1999. "Inventory models with unreliable suppliersin a random environment," Annals of Operations Research, Springer, vol. 91(0), pages 123-136, January.
    34. Wenting Pan & Kut C. So, 2010. "TECHNICAL NOTE---Optimal Product Pricing and Component Production Quantities for an Assembly System Under Supply Uncertainty," Operations Research, INFORMS, vol. 58(6), pages 1792-1797, December.
    35. Chao, Xiuli & Chen, Hong & Zheng, Shaohui, 2008. "Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity," European Journal of Operational Research, Elsevier, vol. 191(1), pages 142-155, November.
    36. Qi Feng, 2010. "Integrating Dynamic Pricing and Replenishment Decisions Under Supply Capacity Uncertainty," Management Science, INFORMS, vol. 56(12), pages 2154-2172, December.
    37. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
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    4. Xu, Xianhao & Chen, Cheng & Zou, Bipan & Wang, Hongwei & Li, Zhiwen, 2023. "Shipping before order making: Optimal shipping quantity and pricing decisions under uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    5. Heng Du & Tiaojun Xiao, 2019. "Pricing Strategies for Competing Adaptive Retailers Facing Complex Consumer Behavior: Agent-based Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1909-1939, November.
    6. Papachristos, Ioannis & Pandelis, Dimitrios G., 2022. "Newsvendor models with random supply capacity and backup sourcing," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1231-1243.
    7. Deligiannis, Michalis & Liberopoulos, George & Pandelis, Dimitrios G., 2023. "Managing supply chain risks with dual sourcing: Bayesian learning of censored supply capacity," International Journal of Production Economics, Elsevier, vol. 265(C).

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