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Designing a Sustainable Nonlinear Model Considering a Piecewise Function for Solving the Risk of Hazardous Material Routing-Locating Problem

Author

Listed:
  • Sina Abbasi

    (Department of Industrial Engineering, Lahijan Branch, Islamic Azad University, Lahijan 1616, Iran)

  • Mojdeh Ardeshir Nasabi

    (School of Industrial Engineering, College of Engineering, University of Tehran, Tehran 141556311, Iran)

  • Ilias Vlachos

    (Excelia Business School, Excelia Group, CERIIM, 17000 La Rochelle, France)

  • Fatemeh Eshghi

    (Department of Industrial Engineering, Naragh Branch, Islamic Azad University, Naragh 3796158719, Iran)

  • Mahdi Hazrati

    (Department of Public Health, School of Public Health, Hamadan University of Medical Science, Hamedan 6517838736, Iran)

  • Sajjad Piryaei

    (School of Industrial Engineering, College of Engineering, University of Tehran, Tehran 141556311, Iran)

Abstract

The problem of lot sizing and vehicle routing are combined to form the production routing problem. The efficiency of this combination in cutting expenses has been studied in the past. To reduce the risk associated with the manufacturing and distribution of hazardous products, the production routing problem is examined in this study. Researchers are paying more attention to sustainability’s social and environmental aspects. Hazardous materials are bad for the environment and human health. Mishaps using these substances frequently have unfavorable long-term effects. Risk is a criterion for measuring hazards in activities involving these materials. A mixed integer program is used to simulate the problem. The suggested model’s nonlinear risk function is dependent on the machine’s load, population risk, and hazardous substance. A piecewise linear function approximates this function since solving the mathematical model with the nonlinear objective function is more difficult. Several cases were utilized in this study to assess the model, solve it, and contrast the two linear and nonlinear models. The outcomes demonstrate that the approximation model may obtain a more accurate result simultaneously. The impact of alterations to warehousing and production capacity on risk has also been examined through sensitivity analysis. Using a nonlinear mathematical model, this study suggested a production routing problem for hazardous materials based on sustainability requirements and solved the model using a piecewise linear approximation.

Suggested Citation

  • Sina Abbasi & Mojdeh Ardeshir Nasabi & Ilias Vlachos & Fatemeh Eshghi & Mahdi Hazrati & Sajjad Piryaei, 2024. "Designing a Sustainable Nonlinear Model Considering a Piecewise Function for Solving the Risk of Hazardous Material Routing-Locating Problem," Sustainability, MDPI, vol. 16(10), pages 1-16, May.
    • Handle: RePEc:gam:jsusta:v:16:y:2024:i:10:p:4112-:d:1394426
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    References listed on IDEAS

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    1. Schenekemberg, Cleder M. & Scarpin, Cassius T. & Pécora, José E. & Guimarães, Thiago A. & Coelho, Leandro C., 2021. "The two-echelon production-routing problem," European Journal of Operational Research, Elsevier, vol. 288(2), pages 436-449.
    2. Erhan Erkut & Vedat Verter, 1998. "Modeling of Transport Risk for Hazardous Materials," Operations Research, INFORMS, vol. 46(5), pages 625-642, October.
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    5. Fontaine, Pirmin & Crainic, Teodor Gabriel & Gendreau, Michel & Minner, Stefan, 2020. "Population-based risk equilibration for the multimode hazmat transport network design problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 188-200.
    6. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February.
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