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一种考虑碳排放的多配送中心车辆路径问题的改进优化算法。

An improved optimization algorithm for a multi-depot vehicle routing problem considering carbon emissions.

作者信息

Pu Xujin, Lu Xulong, Han Guanghua

机构信息

School of Business, Jiangnan University, Wuxi, 214122, China.

School of International and Public Affairs, Shanghai Jiao Tong University, Shanghai, 200030, China.

出版信息

Environ Sci Pollut Res Int. 2022 Aug;29(36):54940-54955. doi: 10.1007/s11356-022-19370-0. Epub 2022 Mar 21.

DOI:10.1007/s11356-022-19370-0
PMID:35307796
Abstract

In a multi-depot vehicle routing problem (MDVRP) of same-city delivery, driving distance and actual loading can greatly influence the amount of carbon emissions generated. This paper considers fuel and carbon emission costs as part of total costs, proposes a MDVRP with minimized logistics costs and driven distance, and then establishes a mixed integer programming model. An improved chemical reaction optimization algorithm is also designed by considering this problem's characteristics (i.e., a greedy search strategy is presented to generate an initial population), and two coding approaches (i.e., two-part coding and matrix coding) are applied prior to designing four chemical reaction operators. The simulation experiment is carried out using a set of a random instances and the experimental results demonstrate that one can reduce carbon emissions by driving extra lesser distances, providing a methodological guide for MDVRPs with logistics costs and carbon emissions.

摘要

在同城配送的多配送中心车辆路径问题(MDVRP)中,行驶距离和实际装载量会极大地影响碳排放量。本文将燃料和碳排放成本视为总成本的一部分,提出了一种使物流成本和行驶距离最小化的MDVRP,进而建立了混合整数规划模型。通过考虑该问题的特点(即提出一种贪婪搜索策略来生成初始种群)设计了一种改进的化学反应优化算法,并且在设计四个化学反应算子之前应用了两种编码方法(即两部分编码和矩阵编码)。使用一组随机实例进行了仿真实验,实验结果表明,可以通过额外行驶更短的距离来减少碳排放,为具有物流成本和碳排放的MDVRP提供了方法指导。

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