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An economic order quantity model with reverse logistics program

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  • Sanni, S.
  • Jovanoski, Z.
  • Sidhu, H.S.

Abstract

The economic order quantity (EOQ) model has evolved greatly over past decades on the strength of incorporating realistic factors. In recent times, interest has been geared towards studying the effect of reverse flow of products into inventory system. In practice, businesses may operate return policy (and may reuse products and material) in an effort to increase customer loyalty and recover assets. In this paper, a reverse logistics EOQ model is studied. The inventory problem of when to order and how much quantity to order when there is reverse flow of items into the system is addressed in the form of profit maximisation. To find the optimal solution of the model (a nonlinear maximisation problem), the Karush-Kuhn-Tucker (KKT) conditions for the objective function are presented and the square-root formulae for the firm’s order size and price are derived. A simple algorithm is proposed for a search of the optimal solution. To illustrate the applicability of the model, some numerical examples are given. Finally, sensitivity analyses are carried out on several key parameters in order to gain some useful insight.

Suggested Citation

  • Sanni, S. & Jovanoski, Z. & Sidhu, H.S., 2020. "An economic order quantity model with reverse logistics program," Operations Research Perspectives, Elsevier, vol. 7(C).
    • Handle: RePEc:eee:oprepe:v:7:y:2020:i:c:s2214716018303087
    DOI: 10.1016/j.orp.2019.100133
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    References listed on IDEAS

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    1. Wilcox, William & Horvath, Philip A. & Griffis, Stanley E. & Autry, Chad W., 2011. "A Markov model of liquidity effects in reverse logistics processes: The effects of random volume and passage," International Journal of Production Economics, Elsevier, vol. 129(1), pages 86-101, January.
    2. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    3. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    4. Richter, Knut, 1996. "The extended EOQ repair and waste disposal model," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 443-447, August.
    5. David A. Schrady, 1967. "A deterministic inventory model for reparable items," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(3), pages 391-398.
    6. Mosca, Alyssa & Vidyarthi, Navneet & Satir, Ahmet, 2019. "Integrated transportation – inventory models: A review," Operations Research Perspectives, Elsevier, vol. 6(C).
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    2. Elizabeth Chinomona, 2022. "Analysing the impact of green information system, green packaging, reverse logistics on logistics performance in the construction industry," GATR Journals jmmr290, Global Academy of Training and Research (GATR) Enterprise.

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