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Dynamic lot-sizing models for retailers with online channels

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  • Xu, Haoxuan
  • Gong, Yeming (Yale)
  • Chu, Chengbin
  • Zhang, Jinlong

Abstract

This paper studies inventory replenishment planning problems for retailers with online channels. Such retailer is able to obtain advance demand information (ADI) in an environment of time-varying demands. We incorporate ADI into dynamic lot-sizing models to formulate the replenishment planning problems for retailers in three scenarios: (1) companies act as pure-play online retailers with customers homogeneous in demand lead time, (2) online customers are heterogeneous in demand lead time with priorities, and (3) retailers operate in a bricks-and-clicks structure, in which demands come from online and offline channels, with either independent or interactive channels. We formulate the problem in the general scenario of interactive demand channels as a mixed-integer linear programming model, and then develop a unified model through reformulation. Based on the optimality properties, we design a dynamic programming algorithm with polynomial running time to solve the unified model. The numerical experiments for several online retailers find that the method can significantly reduce the total inventory cost.

Suggested Citation

  • Xu, Haoxuan & Gong, Yeming (Yale) & Chu, Chengbin & Zhang, Jinlong, 2017. "Dynamic lot-sizing models for retailers with online channels," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 171-184.
  • Handle: RePEc:eee:proeco:v:183:y:2017:i:pa:p:171-184
    DOI: 10.1016/j.ijpe.2016.10.020
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    1. Po-Chen Lin & Reha Uzsoy, 2016. "Chance-constrained formulations in rolling horizon production planning: an experimental study," International Journal of Production Research, Taylor & Francis Journals, vol. 54(13), pages 3927-3942, July.
    2. Cuihong Li & Fuqiang Zhang, 2013. "Advance Demand Information, Price Discrimination, and Preorder Strategies," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 57-71, September.
    3. Santiago Gallino & Antonio Moreno, 2014. "Integration of Online and Offline Channels in Retail: The Impact of Sharing Reliable Inventory Availability Information," Management Science, INFORMS, vol. 60(6), pages 1434-1451, June.
    4. Tan, Tarkan & Gullu, Refik & Erkip, Nesim, 2007. "Modelling imperfect advance demand information and analysis of optimal inventory policies," European Journal of Operational Research, Elsevier, vol. 177(2), pages 897-923, March.
    5. René de Koster & Yeming Gong, 2008. "A polling-based dynamic order picking system for online retailers," Post-Print hal-02312476, HAL.
    6. Kyle Cattani & Wendell Gilland & Hans Sebastian Heese & Jayashankar Swaminathan, 2006. "Boiling Frogs: Pricing Strategies for a Manufacturer Adding a Direct Channel that Competes with the Traditional Channel," Production and Operations Management, Production and Operations Management Society, vol. 15(1), pages 40-56, March.
    7. Agatz, Niels A.H. & Fleischmann, Moritz & van Nunen, Jo A.E.E., 2008. "E-fulfillment and multi-channel distribution - A review," European Journal of Operational Research, Elsevier, vol. 187(2), pages 339-356, June.
    8. Taylor Randall & Serguei Netessine & Nils Rudi, 2006. "An Empirical Examination of the Decision to Invest in Fulfillment Capabilities: A Study of Internet Retailers," Management Science, INFORMS, vol. 52(4), pages 567-580, April.
    9. Hautaniemi, Petri & Pirttila, Timo, 1999. "The choice of replenishment policies in an MRP environment," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 85-92, March.
    10. Rema Hariharan & Paul Zipkin, 1995. "Customer-Order Information, Leadtimes, and Inventories," Management Science, INFORMS, vol. 41(10), pages 1599-1607, October.
    11. Tingliang Huang & Jan A. Van Mieghem, 2014. "Clickstream Data and Inventory Management: Model and Empirical Analysis," Production and Operations Management, Production and Operations Management Society, vol. 23(3), pages 333-347, March.
    12. Guillermo Gallego & Özalp Özer, 2001. "Integrating Replenishment Decisions with Advance Demand Information," Management Science, INFORMS, vol. 47(10), pages 1344-1360, October.
    13. De Bodt, Marc A. & Van Wassenhove, Luk N. & Gelders, Ludo F., 1982. "Lot sizing and safety stock decisions in an MRP system with demand uncertainty," Engineering Costs and Production Economics, Elsevier, vol. 6(1), pages 67-75, April.
    14. De Bodt, Marc A. & Gelders, Ludo F. & Van Wassenhove, Luk N., 1984. "Lot sizing under dynamic demand conditions: A review," Engineering Costs and Production Economics, Elsevier, vol. 8(3), pages 165-187, December.
    15. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    16. Stephen C. Graves, 1982. "Using Lagrangean Techniques to Solve Hierarchical Production Planning Problems," Management Science, INFORMS, vol. 28(3), pages 260-275, March.
    17. Asdemir, Kursad & Jacob, Varghese S. & Krishnan, Ramayya, 2009. "Dynamic pricing of multiple home delivery options," European Journal of Operational Research, Elsevier, vol. 196(1), pages 246-257, July.
    18. Seifert, Ralf W. & Thonemann, Ulrich W. & Sieke, Marcel A., 2006. "Integrating direct and indirect sales channels under decentralized decision-making," International Journal of Production Economics, Elsevier, vol. 103(1), pages 209-229, September.
    19. Gunasekaran, A. & Marri, H. B. & McGaughey, R. E. & Nebhwani, M. D., 2002. "E-commerce and its impact on operations management," International Journal of Production Economics, Elsevier, vol. 75(1-2), pages 185-197, January.
    20. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
    21. Chen, Xi & Ghate, Archis & Tripathi, Arvind, 2011. "Dynamic lot-sizing in sequential online retail auctions," European Journal of Operational Research, Elsevier, vol. 215(1), pages 257-267, November.
    22. Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.
    23. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
    24. Tong Wang & Beril L. Toktay, 2008. "Inventory Management with Advance Demand Information and Flexible Delivery," Management Science, INFORMS, vol. 54(4), pages 716-732, April.
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    6. Saha, Kushal & Bhattacharya, Subir, 2021. "‘Buy online and pick up in-store’: Implications for the store inventory," European Journal of Operational Research, Elsevier, vol. 294(3), pages 906-921.
    7. Wu, Xiang & (Yale) Gong, Yeming & Xu, Haoxuan & Chu, Chengbin & Zhang, Jinlong, 2017. "Dynamic lot-sizing models with pricing for new products," European Journal of Operational Research, Elsevier, vol. 260(1), pages 81-92.

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