基于可信性的低碳物流网络设计多目标模糊规划问题

Credibility-based multi-objective fuzzy programming problem for low-carbon logistics network design

通过物流网络的优化设计来控制碳排放是提高低碳物流绩效的一种重要途径.针对模糊环境下多级低碳物流网络设计的战略定位和配置问题,综合考虑多级物流网络参数的模糊性以及战术层的多商品流、多生产技术和多运输方式的选择决策,以最小化物流网络的总成本和总碳排放为目标,集成采用期望值规划方法和机会约束规划方法,建立了基于可信性的多目标模糊数学规划模型.该模型引入二氧化碳当量作为衡量物流网络对环境影响的评估指标.然后,设计了一种基于可信性测度的交互式模糊求解方法对多目标模糊规划模型予以求解.最后,通过算例验证了模型和算法的有效性和可行性.

Using logistics network optimization design to control carbon emissions is an important way to enhance low-carbon logistics performance.To cope with the strategic location and configuration problem of multi-stage low-carbon logistics network design under fuzzy conditions,integrating the expected value and the chance constrained programming approaches,a credibility-based multi-objective fuzzy mathematical programming model is developed by considering the fuzzy parameters of multi-stage logistics network,and tactical multiple product flows,production technologies,and transportation modes selection decisions.This model aims to minimize the total costs and total carbon emissions of logistics network.And it also introduces the carbon dioxide equivalent to be an environmental impact assessment index across the concerned logistics network.Then,an interactive fuzzy solution approach based on credibility measure is proposed to solve the multi-objective fuzzy programming model.Finally,a numerical example is tested to show the validity and feasibility of the proposed model and algorithm.