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Coordinating Inventory Control and Pricing Strategies for Perishable Products

Author

Listed:
  • Xin Chen

    (International Center of Management Science and Engineering, Nanjing University, Nanjing 210093, China; and Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana--Champaign, Urbana, Illinois 61801)

  • Zhan Pang

    (International Center of Management Science and Engineering, Nanjing University, Nanjing 210093, China; and Lancaster University Management School, Lancaster LA1 4YX, United Kingdom)

  • Limeng Pan

    (Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana--Champaign, Urbana, Illinois 61801)

Abstract

We analyze a joint pricing and inventory control problem for a perishable product with a fixed lifetime over a finite horizon. In each period, demand depends on the price of the current period plus an additive random term. Inventories can be intentionally disposed of, and those that reach their lifetime have to be disposed of. The objective is to find a joint pricing, ordering, and disposal policy to maximize the total expected discounted profit over the planning horizon taking into account linear ordering cost, inventory holding and backlogging or lost-sales penalty cost, and disposal cost. Employing the concept of L (natural) -concavity, we show some monotonicity properties of the optimal policies. Our results shed new light on perishable inventory management, and our approach provides a significantly simpler proof of a classical structural result in the literature. Moreover, we identify bounds on the optimal order-up-to levels and develop an effective heuristic policy. Numerical results show that our heuristic policy performs well in both stationary and nonstationary settings. Finally, we show that our approach also applies to models with random lifetimes and inventory rationing models with multiple demand classes.

Suggested Citation

  • Xin Chen & Zhan Pang & Limeng Pan, 2014. "Coordinating Inventory Control and Pricing Strategies for Perishable Products," Operations Research, INFORMS, vol. 62(2), pages 284-300, April.
    • Handle: RePEc:inm:oropre:v:62:y:2014:i:2:p:284-300
    DOI: 10.1287/opre.2014.1261
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    References listed on IDEAS

    as
    1. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    2. Woonghee Tim Huh & Ganesh Janakiraman, 2010. "On the Optimal Policy Structure in Serial Inventory Systems with Lost Sales," Operations Research, INFORMS, vol. 58(2), pages 486-491, April.
    3. Steven Nahmias, 2011. "Perishable Inventory Systems," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-7999-5, December.
    4. Steven Nahmias, 1975. "Optimal Ordering Policies for Perishable Inventory—II," Operations Research, INFORMS, vol. 23(4), pages 735-749, August.
    5. Awi Federgruen & Aliza Heching, 2002. "Multilocation Combined Pricing and Inventory Control," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 275-295, March.
    6. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
    7. Zhan Pang & Frank Y. Chen & Youyi Feng, 2012. "Technical Note---A Note on the Structure of Joint Inventory-Pricing Control with Leadtimes," Operations Research, INFORMS, vol. 60(3), pages 581-587, June.
    8. Yanzhi Li & Andrew Lim & Brian Rodrigues, 2009. "Note--Pricing and Inventory Control for a Perishable Product," Manufacturing & Service Operations Management, INFORMS, vol. 11(3), pages 538-542, February.
    9. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    10. Yingdong Lu & Jing-Sheng Song, 2005. "Order-Based Cost Optimization in Assemble-to-Order Systems," Operations Research, INFORMS, vol. 53(1), pages 151-169, February.
    11. Steven Nahmias & Charles P. Schmidt, 1986. "An Application of the Theory of Weak Convergence to the Dynamic Perishable Inventory Problem with Discrete Demand," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 62-69, February.
    12. Kazuo Murota, 2005. "Note on Multimodularity and L-Convexity," Mathematics of Operations Research, INFORMS, vol. 30(3), pages 658-661, August.
    13. Brant E. Fries, 1975. "Optimal Ordering Policy for a Perishable Commodity with Fixed Lifetime," Operations Research, INFORMS, vol. 23(1), pages 46-61, February.
    14. Yuyue Song & Saibal Ray & Tamer Boyaci, 2009. "Technical Note---Optimal Dynamic Joint Inventory-Pricing Control for Multiplicative Demand with Fixed Order Costs and Lost Sales," Operations Research, INFORMS, vol. 57(1), pages 245-250, February.
    15. Paul Zipkin, 2008. "On the Structure of Lost-Sales Inventory Models," Operations Research, INFORMS, vol. 56(4), pages 937-944, August.
    16. Steven Nahmias, 1976. "Myopic Approximations for the Perishable Inventory Problem," Management Science, INFORMS, vol. 22(9), pages 1002-1008, May.
    17. Woonghee Tim Huh & Ganesh Janakiraman, 2008. "( s, S ) Optimality in Joint Inventory-Pricing Control: An Alternate Approach," Operations Research, INFORMS, vol. 56(3), pages 783-790, June.
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