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Influence of dependency between demands and returns in a reverse logistics system

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  • Zerhouni, Hichem
  • Gayon, Jean-Philippe
  • Frein, Yannick

Abstract

We consider two reverse logistics systems where returned products are as good as new. For the first system, the product return flow is independent of the demand flow. We prove that the optimal policy is of base-stock type and we establish monotonicity results for the optimal base-stock levels, with respect to the system parameters (arrival rate, production rate, return rate, production cost, lost-sale cost, return cost and holding cost). We also provide an efficient algorithm to compute the optimal base-stock level. For the second system, demands and returns are strongly correlated: a satisfied demand induces a product return after a stochastic return lead-time, with a certain probability. When the return lead-time is null, we extend the results obtained for the first system. When the return lead-time is positive, the optimal control problem is more complex and we do not prove that the optimal policy is of base-stock type. However, we provide a framework to analyse base-stock policies. Finally, we carry out a numerical study on many scenarios to investigate the impact of ignoring dependency between demands and returns. We observe that ignoring this dependency yields to non-negligible cost increase.

Suggested Citation

  • Zerhouni, Hichem & Gayon, Jean-Philippe & Frein, Yannick, 2013. "Influence of dependency between demands and returns in a reverse logistics system," International Journal of Production Economics, Elsevier, vol. 143(1), pages 62-71.
    • Handle: RePEc:eee:proeco:v:143:y:2013:i:1:p:62-71
    DOI: 10.1016/j.ijpe.2010.10.014
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    References listed on IDEAS

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    Cited by:

    1. Tianji Yang & Chao Fu & Xinbao Liu & Jun Pei & Lin Liu & Panos M. Pardalos, 2018. "Closed-loop supply chain inventory management with recovery information of reusable containers," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 266-292, January.
    2. Gökbayrak, Esra & Kayış, Enis, 2023. "Single item periodic review inventory control with sales dependent stochastic return flows," International Journal of Production Economics, Elsevier, vol. 255(C).
    3. Iassinovskaia, Galina & Limbourg, Sabine & Riane, Fouad, 2017. "The inventory-routing problem of returnable transport items with time windows and simultaneous pickup and delivery in closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 570-582.
    4. Goedhart, Joost & Haijema, René & Akkerman, Renzo, 2023. "Modelling the influence of returns for an omni-channel retailer," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1248-1263.
    5. Elia, Valerio & Gnoni, Maria Grazia, 2015. "Designing an effective closed loop system for pallet management," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 730-740.
    6. Xiong, Yu & Li, Gendao & Zhou, Yu & Fernandes, Kiran & Harrison, Richard & Xiong, Zhongkai, 2014. "Dynamic pricing models for used products in remanufacturing with lost-sales and uncertain quality," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 678-688.

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