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首页> 外文期刊>Journal of Optimization in Industrial Engineering >A New Mathematical Model for the Green Vehicle Routing Problem by Considering a Bi-Fuel Mixed Vehicle Fleet
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A New Mathematical Model for the Green Vehicle Routing Problem by Considering a Bi-Fuel Mixed Vehicle Fleet

机译：考虑双燃料混合车舰队，绿色汽车路线问题的新数学模型

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This paper formulates a mathematical model for the Green Vehicle Routing Problem (GVRP), incorporating bi-fuel (natural gas and gasoline) pickup trucks in a mixed vehicle fleet. The objective is to minimize overall costs relating to service (earliness and tardiness), transportation (fixed, variable and fuel), and carbon emissions. To reflect a real-world situation, the study considers: (1) a comprehensive fuel consumption function with a soft time window, and (2) an en-route fuel refueling option to eliminate the constraint of driving range. A linear set of valid inequalities for computing fuel consumption were introduced. In order to validate the presented model, first, the model is solved for an illustrative example. Then each component of cost objective function is considered separately so as to investigate the effects of each part on the obtained solutions and the importance of vehicles speed on transportation strategies. Computational analysis shows that, despite the limitation of an appropriate service infrastructure, the proposed model demonstrated an average reduction of 44%, 6% and 5% in carbon emission costs, total distribution costs, and transportation costs respectively. Moreover, the study found paradoxical effects of average speed, suggesting the need to manage trade-offs: while higher speeds reduced service costs, they increased carbon emission costs. In the next stage, some experiments modified from the literature are solved. According to these experiments, in all instances greater objective function values for Gasoline vehicles are gained. The difference in the carbon emission objective is also significant, with an average of 44.23% increase. Finally, managerial and institutional implications are discussed.
机译：本文制定了绿色汽车路由问题（GVRP）的数学模型，将双燃料（天然气和汽油）拾取卡车纳入混合车队。目的是最大限度地减少与服务（重点和迟到），运输（固定，可变和燃料）和碳排放有关的总成本。为了反映现实世界的情况，研究考虑了：（1）具有软时间窗口的全面的燃料消耗功能，（2）燃料燃料加油选项，以消除驾驶范围的约束。介绍了用于计算燃料消耗的线性有效不等式。为了验证所呈现的模型，首先，解决模型以用于说明性示例。然后分别考虑成本目标函数的每个组分，以便研究每个部分对所获得的解决方案的影响以及车辆速度对运输策略的重要性。计算分析表明，尽管有所限制适当的服务基础设施，但拟议的模型分别展示了碳排放成本，总分配成本和运输成本的平均降低44％，6％和5％。此外，研究发现了平均速度的矛盾效应，表明需要管理权衡：虽然更高的速度降低了服务成本，但它们增加了碳排放成本。在下一阶段，解决了从文献中修改的一些实验。根据这些实验，在所有情况下，获得了汽油车辆的更大目标值。碳排放物镜的差异也很显着，平均增加44.23％。最后，讨论了管理和制度影响。

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