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A Routing Model for the Distribution of Perishable Food in a Green Cold Chain

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  • Gilberto Pérez-Lechuga

    (Instituto de Ciencias Básicas e Ingeniería, AAIA, Universidad Autónoma del Estado de Hidalgo, Pachuca de Soto 42184, Mexico)

  • José Francisco Martínez-Sánchez

    (Escuela Superior de Apan, AAF, Universidad Autónoma del Estado de Hidalgo, Pachuca de Soto 43920, Mexico)

  • Francisco Venegas-Martínez

    (Escuela Superior de Economía, ESE, Instituto Politécnico Nacional, Av. Plan de Agua Prieta 66, Plutarco Elías Calles, Miguel Hidalgo, Mexico City 11350, Mexico)

  • Karla Nataly Madrid-Fernández

    (Facultad de Ingeniería, Universidad Anáhuac México, Huixquilucan Manzana 012, Naucalpan de Juárez 52760, Mexico)

Abstract

In this research, we develop an extension of the stochastic routing model with a fixed capacity for the distribution of perishable products with a time window. We use theoretical probability distributions to model the life of transported products and travel times in the network. Our main objective is to maximize the probability of delivering products within the established deadline with a certain level of customer service. Our project is justified from the perspective of reducing the pollution caused by greenhouse gases generated in the process. To optimize the proposed model, we use a Generic Random Search Algorithm. Finally, we apply the idea to a real problem of designing strategies for the optimal management of perishable food distribution routes that involve a time window, the objective being to maximize the probability of meeting the time limit assigned to the route problem by reducing, in this way, the pollution generated by refrigerated transport.

Suggested Citation

  • Gilberto Pérez-Lechuga & José Francisco Martínez-Sánchez & Francisco Venegas-Martínez & Karla Nataly Madrid-Fernández, 2024. "A Routing Model for the Distribution of Perishable Food in a Green Cold Chain," Mathematics, MDPI, vol. 12(2), pages 1-27, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:332-:d:1322579
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    References listed on IDEAS

    as
    1. Francisco J. Solis & Roger J.-B. Wets, 1981. "Minimization by Random Search Techniques," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 19-30, February.
    2. Roberto Baldacci & Paolo Toth & Daniele Vigo, 2010. "Exact algorithms for routing problems under vehicle capacity constraints," Annals of Operations Research, Springer, vol. 175(1), pages 213-245, March.
    3. Ntabe, E.N. & LeBel, L. & Munson, A.D. & Santa-Eulalia, L.A., 2015. "A systematic literature review of the supply chain operations reference (SCOR) model application with special attention to environmental issues," International Journal of Production Economics, Elsevier, vol. 169(C), pages 310-332.
    4. Komla Elom Adedje & Diakarya Barro & Chin-Chia Wu, 2022. "A Stochastic Approach to Modeling Food Pattern," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-9, August.
    5. Songyi Wang & Fengming Tao & Yuhe Shi, 2018. "Optimization of Location–Routing Problem for Cold Chain Logistics Considering Carbon Footprint," IJERPH, MDPI, vol. 15(1), pages 1-17, January.
    6. Pan, Binbin & Zhang, Zhenzhen & Lim, Andrew, 2021. "Multi-trip time-dependent vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 291(1), pages 218-231.
    7. Ludmiła Filina-Dawidowicz & Anna Wiktorowska-Jasik, 2022. "Contemporary problems and challenges of sustainable distribution of perishable cargoes: Case study of Polish cold port stores," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(3), pages 4434-4450, March.
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