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Enhanced multi-directional local search for the bi-objective heterogeneous vehicle routing problem with multiple driving ranges

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  • Eskandarpour, Majid
  • Ouelhadj, Djamila
  • Hatami, Sara
  • Juan, Angel A.
  • Khosravi, Banafsheh

Abstract

The transportation sector accounts for a significant amount of greenhouse gas emissions. To mitigate this problem, electric vehicles have been widely recommended as green vehicles with lower emissions. However, the driving range of electric vehicles is limited due to their battery capacity. In this paper, a bi-objective mixed-integer linear programming model is proposed to minimise total costs (fixed plus variable) as well as CO2 emissions caused by the vehicles used in the fleet for a Heterogeneous Vehicle Routing Problem with Multiple Loading Capacities and Driving Ranges (HeVRPMD). To solve the proposed model, an enhanced variant of Multi-Directional Local Search (EMDLS) is developed to approximate the Pareto frontier. The proposed method employs a Large Neighbourhood Search (LNS) framework to find efficient solutions and update the approximated Pareto frontier at each iteration. The LNS algorithm makes use of three routing-oriented destroy operators and a construction heuristic based on a multi-round approach. The performance of EMDLS is compared to MDLS, an Improved MDLS (IMDLS), non-dominated sorting genetic algorithm II (NSGAII), non-dominated sorting genetic algorithm III (NSGAIII), and the weighting and epsilon-constraint methods. Extensive experiments have been conducted using a set of instances generated from the Capacitated Vehicle Routing Problem benchmark tests in the literature. In addition, real data is utilised to estimate fixed and variable costs, CO2 emissions, capacity, and the driving range of each type of vehicle. The results show the effectiveness of the proposed method to find high-quality non-dominated solutions.

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  • Eskandarpour, Majid & Ouelhadj, Djamila & Hatami, Sara & Juan, Angel A. & Khosravi, Banafsheh, 2019. "Enhanced multi-directional local search for the bi-objective heterogeneous vehicle routing problem with multiple driving ranges," European Journal of Operational Research, Elsevier, vol. 277(2), pages 479-491.
    • Handle: RePEc:eee:ejores:v:277:y:2019:i:2:p:479-491
    DOI: 10.1016/j.ejor.2019.02.048
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    5. Erfan Ghorbani & Mahdi Alinaghian & Gevork. B. Gharehpetian & Sajad Mohammadi & Guido Perboli, 2020. "A Survey on Environmentally Friendly Vehicle Routing Problem and a Proposal of Its Classification," Sustainability, MDPI, vol. 12(21), pages 1-71, October.
    6. Yuda Li & Mohammad Peyman & Javier Panadero & Angel A. Juan & Fatos Xhafa, 2022. "IoT Analytics and Agile Optimization for Solving Dynamic Team Orienteering Problems with Mandatory Visits," Mathematics, MDPI, vol. 10(6), pages 1-21, March.
    7. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    8. Mohammad Asghari & Seyed Mohammad Javad Mirzapour Al-E-Hashem, 2021. "Green vehicle routing problem: A state-of-the-art review," Post-Print hal-03182944, HAL.
    9. Anderluh, Alexandra & Nolz, Pamela C. & Hemmelmayr, Vera C. & Crainic, Teodor Gabriel, 2021. "Multi-objective optimization of a two-echelon vehicle routing problem with vehicle synchronization and ‘grey zone’ customers arising in urban logistics," European Journal of Operational Research, Elsevier, vol. 289(3), pages 940-958.
    10. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2021. "Green vehicle routing problem: A state-of-the-art review," International Journal of Production Economics, Elsevier, vol. 231(C).
    11. Garside, Annisa Kesy & Ahmad, Robiah & Muhtazaruddin, Mohd Nabil Bin, 2024. "A recent review of solution approaches for green vehicle routing problem and its variants," Operations Research Perspectives, Elsevier, vol. 12(C).
    12. Nasreddine Ouertani & Hajer Ben-Romdhane & Saoussen Krichen & Issam Nouaouri, 2022. "A vector evaluated evolutionary algorithm with exploitation reinforcement for the dynamic pollution routing problem," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1011-1038, September.
    13. Bochra Rabbouch & Foued Saâdaoui & Rafaa Mraihi, 2021. "Efficient implementation of the genetic algorithm to solve rich vehicle routing problems," Operational Research, Springer, vol. 21(3), pages 1763-1791, September.
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    15. Yanfei Zhu & Chunhui Li & Kwang Y. Lee, 2022. "The NR-EGA for the EVRP Problem with the Electric Energy Consumption Model," Energies, MDPI, vol. 15(10), pages 1-12, May.
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