A Mixed-Integer Linear Programming Model for Green Vehicle Routing Problems
DOI:
https://doi.org/10.64137/31082637/IJMAR-V1I2P105Keywords:
Green Vehicle Routing Problem (G-VRP), Mixed-Integer Linear Programming (MILP), Sustainable Logistics, Emission Reduction, Fuel Consumption Optimization, Eco-Friendly RoutingAbstract
The growing environmental impact of transportation and logistics has prompted increasing attention to sustainable routing practices. This study addresses the Green Vehicle Routing Problem (G-VRP) by developing a Mixed-Integer Linear Programming (MILP) model that simultaneously minimizes travel distance, fuel consumption, and carbon emissions while satisfying operational constraints such as vehicle capacity, route feasibility, and time windows. The proposed model is tested on benchmark instances and evaluated against traditional vehicle routing solutions, demonstrating substantial reductions in fuel use and environmental emissions without compromising service efficiency. Computational experiments highlight the trade-offs between operational efficiency and environmental sustainability, offering actionable insights for fleet managers seeking to implement eco-friendly routing strategies. The results also identify the scalability challenges and potential for integrating heuristic methods in larger transportation networks. This research contributes to both the theoretical understanding of green routing optimization and practical applications in sustainable logistics, providing a foundation for future studies on multi-objective, real-time, and electric vehicle routing systems.
References
[1] Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91.
[2] Laporte, G. (2009). Fifty years of vehicle routing. Transportation Science, 43(4), 408–416.
[3] Ghiani, G., Laporte, G., & Musmanno, R. (2004). Introduction to logistics systems management. John Wiley & Sons.
[4] Erdogan, S., & Miller-Hooks, E. (2012). A green vehicle routing problem. Transportation Research Part E, 48(1), 100–114.
[5] Scholz-Reiter, B., & Schmitt, R. (2009). Green logistics: New approaches in vehicle routing. CIRP Annals, 58(1), 373–376.
[6] Mavrotas, G. (2009). Effective implementation of the ε-constraint method in multi-objective integer programming. Applied Mathematics and Computation, 213(2), 455–465.
[7] Cordeau, J.-F., Laporte, G., & Mercier, A. (2001). A unified tabu search heuristic for vehicle routing problems with time windows. Journal of the Operational Research Society, 52(8), 928–936.
[8] Kallehauge, B., & Petersen, B. (2009). Branch-and-cut algorithms for vehicle routing problems. European Journal of Operational Research, 197(3), 1196–1204.
[9] Lin, C., & Xie, M. (2014). A multi-objective vehicle routing problem for sustainable logistics. Expert Systems with Applications, 41(12), 5522–5532.
[10] Malandraki, C., & Daskin, M. S. (1992). Time-dependent vehicle routing problems: Formulations and algorithms. Transportation Science, 26(3), 185–200.
[11] Prins, C. (2004). A GRASP metaheuristic for the vehicle routing problem. INFORMS Journal on Computing, 16(3), 208–223.
[12] Wu, Y., & Lee, W. S. (2016). Green vehicle routing problem with time windows and multiple fuel types. Computers & Industrial Engineering, 101, 177–187.
[13] Nagy, G., & Salhi, S. (2007). Heuristic algorithms for the multi-depot vehicle routing problem. European Journal of Operational Research, 179(3), 744–761.
[14] Mendez, C. A., & Crainic, T. G. (2010). Multi-objective green vehicle routing problem with time windows. Computers & Operations Research, 37(12), 2229–2239.
[15] Demir, E., Bektaş, T., & Laporte, G. (2014). A review of recent research on green road freight transportation. European Journal of Operational Research, 237(3), 775–793.
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