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A model for returnable container inventory with restoring strategy using the triangular fuzzy numbers

  • Foundation, algebraic, and analytical methods in soft computing
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Abstract

Generally, the transportation of cargo plays a vital role in effective supply chain management. For the safe transportation of the goods, the Returnable Containers (RCs) are provided by the container management organization to the consignee as rental basis. Unfortunately, some of the RCs are returned as delay in time for some situations. This study explores a situation of container management organization that unexpected delay of empty containers and then suggests a restoring strategy for shortfall units. As a strategy of restoring the shortfall units, this research considers the leasing option instead of buying the new RCs. This paper examines the container inventory model with the consideration of the delayed return of containers under the fuzzy arena. Because the container's return rate is unpredictable and uncertain, the container inventory model is formulating under fuzzy environment. This research describes a container inventory model with price-sensitive demand. In this model, the container return rate as well as the proportion of repairable from received RCs as Triangular Fuzzy Numbers (TFNs). The optimal duration of inspection of the container and the optimal duration of the lease of an RC are obtained. The expected total cost using the fuzzy return rate and the fuzzy proportion of repairable RCs is computed. The container inventory model under fuzzy arena is proposed to attain the approximate outcome for the unpredictable and uncertain parameters. The impact of the fuzzy proportion of retuned RCs, fuzzy reparable from received RCs, and the changes in some parameters on optimal solutions are performed in the sensitivity analysis.

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Acknowledgements

The researchers would like to thank the Deanship of Scientific Research, Qassim University for funding the publication of this project.

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Authors and Affiliations

  1. Department of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, 147004, Punjab, India

    Harish Garg

  2. Department of Mathematics, Queen Mary’s College, Chennai, India

    C. Sugapriya

  3. Center for Global Health Research, Saveetha Medical College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, India

    S. Rajeswari

  4. Department of Mathematics, Anna Adarsh College for Women, Chennai, Tamil Nadu, India

    S. Rajeswari

  5. Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, Tamil Nadu, India

    D. Nagarajan

  6. Department of Mathematics, College of Science and Arts, Qassim University, 51951, Al-Badaya, Saudi Arabia

    Alhanouf Alburaikan

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  1. Harish Garg
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  2. C. Sugapriya
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  3. S. Rajeswari
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  4. D. Nagarajan
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  5. Alhanouf Alburaikan
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Correspondence to Harish Garg.

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Garg, H., Sugapriya, C., Rajeswari, S. et al. A model for returnable container inventory with restoring strategy using the triangular fuzzy numbers. Soft Comput 28, 2811–2822 (2024). https://doi.org/10.1007/s00500-023-09539-1

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