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An Improved Multi-Objective Programming with Augmented ε -Constraint Method for Hazardous Waste Location-Routing Problems

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  • Hao Yu

    (Department of Industrial Engineering, Faculty of Engineering Science and Technology, UiT—The Arctic University of Norway, Narvik 8505, Norway)

  • Wei Deng Solvang

    (Department of Industrial Engineering, Faculty of Engineering Science and Technology, UiT—The Arctic University of Norway, Narvik 8505, Norway)

Abstract

Hazardous waste location-routing problems are of importance due to the potential risk for nearby residents and the environment. In this paper, an improved mathematical formulation is developed based upon a multi-objective mixed integer programming approach. The model aims at assisting decision makers in selecting locations for different facilities including treatment plants, recycling plants and disposal sites, providing appropriate technologies for hazardous waste treatment, and routing transportation. In the model, two critical factors are taken into account: system operating costs and risk imposed on local residents, and a compensation factor is introduced to the risk objective function in order to account for the fact that the risk level imposed by one type of hazardous waste or treatment technology may significantly vary from that of other types. Besides, the policy instruments for promoting waste recycling are considered, and their influence on the costs and risk of hazardous waste management is also discussed. The model is coded and calculated in Lingo optimization solver, and the augmented ε -constraint method is employed to generate the Pareto optimal curve of the multi-objective optimization problem. The trade-off between different objectives is illustrated in the numerical experiment.

Suggested Citation

  • Hao Yu & Wei Deng Solvang, 2016. "An Improved Multi-Objective Programming with Augmented ε -Constraint Method for Hazardous Waste Location-Routing Problems," IJERPH, MDPI, vol. 13(6), pages 1-21, May.
    • Handle: RePEc:gam:jijerp:v:13:y:2016:i:6:p:548-:d:71149
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    References listed on IDEAS

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    1. Esin Balci & Sezin Balci & Aysun Sofuoglu, 2022. "Multi-purpose reverse logistics network design for medical waste management in a megacity: Istanbul, Turkey," Environment Systems and Decisions, Springer, vol. 42(3), pages 372-387, September.
    2. Hao Yu & Xu Sun & Wei Deng Solvang & Xu Zhao, 2020. "Reverse Logistics Network Design for Effective Management of Medical Waste in Epidemic Outbreaks: Insights from the Coronavirus Disease 2019 (COVID-19) Outbreak in Wuhan (China)," IJERPH, MDPI, vol. 17(5), pages 1-25, March.

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