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Inventory control policy for perishable products under a buyback contract and Brownian demands

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  • Gong, Min
  • Lian, Zhaotong
  • Xiao, Hua

Abstract

In this study, we analyse the inventory management strategy for perishables, where customer demands are assumed to arrive continuously and modelled by a drifted Brownian motion. We apply the well-known (s, S) continuous review inventory policy; in this policy, an order is placed to increase the inventory level to S as soon as it falls below s. Benefitted from highly developed transportation and logistics industries, it is reasonable to employ the zero-leadtime assumption in our model. In addition, a buyback contract is granted for the retailer to recover the loss from perishing. We illustrate the sales cycle through Markov renewal approach and derive closed-form formulas for long-run profit rates. To evaluate the optimal ordering policy which maximises the profit rate of the retailer, we first analyse the condition for accepting backorder and derive the optimal backorder level s as a function of S, and then solve for the global optimal (s, S) policy through numerical studies. Moreover, we develop a heuristic approach to approximate the optimal policy. Sensitivity analyses are conducted to reveal the effect of different parameters on system behaviour. The conclusions provide managerial insights for formulating inventory policies for perishables under Brownian demand.

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  • Gong, Min & Lian, Zhaotong & Xiao, Hua, 2022. "Inventory control policy for perishable products under a buyback contract and Brownian demands," International Journal of Production Economics, Elsevier, vol. 251(C).
    • Handle: RePEc:eee:proeco:v:251:y:2022:i:c:s0925527322001153
    DOI: 10.1016/j.ijpe.2022.108522
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    1. 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.
    2. Suresh P. Sethi & Feng Cheng, 1997. "Optimality of ( s , S ) Policies in Inventory Models with Markovian Demand," Operations Research, INFORMS, vol. 45(6), pages 931-939, December.
    3. Onno Boxma & David Perry & Shelley Zacks, 2015. "A Fluid EOQ Model of Perishable Items with Intermittent High and Low Demand Rates," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 390-402, February.
    4. Jingchen Wu & Xiuli Chao, 2014. "Optimal Control of a Brownian Production/Inventory System with Average Cost Criterion," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 163-189, February.
    5. Kazutoshi Yamazaki, 2017. "Inventory Control for Spectrally Positive Lévy Demand Processes," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 212-237, January.
    6. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2016. "A coordinated multi-item inventory system for perishables with random lifetime," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 226-237.
    7. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    8. Donald L. Iglehart, 1963. "Optimality of (s, S) Policies in the Infinite Horizon Dynamic Inventory Problem," Management Science, INFORMS, vol. 9(2), pages 259-267, January.
    9. Hahn, Kyu Hun & Hwang, Hark & Shinn, Seong Whan, 2004. "A returns policy for distribution channel coordination of perishable items," European Journal of Operational Research, Elsevier, vol. 152(3), pages 770-780, February.
    10. Y. Barron, 2019. "A state-dependent perishability (s, S) inventory model with random batch demands," Annals of Operations Research, Springer, vol. 280(1), pages 65-98, September.
    11. Dacheng Yao, 2017. "Joint pricing and inventory control for a stochastic inventory system with Brownian motion demand," IISE Transactions, Taylor & Francis Journals, vol. 49(12), pages 1101-1111, December.
    12. Uday S. Rao, 2003. "Properties of the Periodic Review (R, T) Inventory Control Policy for Stationary, Stochastic Demand," Manufacturing & Service Operations Management, INFORMS, vol. 5(1), pages 37-53, February.
    13. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    14. Sandun Perera & Ganesh Janakiraman & Shun†Chen Niu, 2018. "Optimality of (s, S) Inventory Policies under Renewal Demand and General Cost Structures," Production and Operations Management, Production and Operations Management Society, vol. 27(2), pages 368-383, February.
    15. Dirk Beyer & Feng Cheng & Suresh P. Sethi & Michael Taksar, 2010. "Markovian Demand Inventory Models," International Series in Operations Research and Management Science, Springer, number 978-0-387-71604-6, April.
    16. Liming Liu & Zhaotong Lian, 1999. "(s, S) Continuous Review Models for Products with Fixed Lifetimes," Operations Research, INFORMS, vol. 47(1), pages 150-158, February.
    17. Shuangchi He & Dacheng Yao & Hanqin Zhang, 2017. "Optimal Ordering Policy for Inventory Systems with Quantity-Dependent Setup Costs," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 979-1006, November.
    18. Terry A. Taylor, 2002. "Supply Chain Coordination Under Channel Rebates with Sales Effort Effects," Management Science, INFORMS, vol. 48(8), pages 992-1007, August.
    19. Saeed Poormoaied & Ülkü Gürler & Emre Berk, 2020. "An exact analysis on age-based control policies for perishable inventories," IISE Transactions, Taylor & Francis Journals, vol. 53(2), pages 221-245, August.
    20. Duan, Yongrui & Luo, Jianwen & Huo, Jiazhen, 2010. "Buyer-vendor inventory coordination with quantity discount incentive for fixed lifetime product," International Journal of Production Economics, Elsevier, vol. 128(1), pages 351-357, November.
    21. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    22. Kumar Muthuraman & Sridhar Seshadri & Qi Wu, 2015. "Inventory Management with Stochastic Lead Times," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 302-327, February.
    23. Liming Liu & Din‐Hua Shi, 1999. "An (s, S) model for inventory with exponential lifetimes and renewal demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 39-56, February.
    24. Yonit Barron & Opher Baron, 2020. "QMCD approach for perishability models: The (S, s) control policy with lead time," IISE Transactions, Taylor & Francis Journals, vol. 52(2), pages 133-150, February.
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