Abstract: The sustainable supply chain network is mostly modeled based on the triple bottom line of economy,environment and society,which fails to fully describe the degree of correlation between the enterprise's own governance capability and the supply chain model.Meanwhile,to more accurately represent the real state of each uncertain parameter in the model,a fuzzy multi-objective sustainable supply chain network model was proposed based on CITI Evaluation Guide 8.0,which modeled the quadruple bottom lines of economic cost,environmental pollution,social impact and corporate governance capability,and a hybrid metaheuristic algorithm named TSA-BB that combined taboo search and branch delimitation was designed to solve the model.The characteristics of each indicator of the quadruple bottom line were considered comprehensively,and the corresponding fuzzy hierarchical analysis structure model was established to represent the relative importance of each indicator.Then,the direct influence matrix and comprehensive influence matrix were constructed in turn according to the relative importance degree,and the weighted centrality of each indicator was calculated based on the two as the comprehensive weight of the integrated multi-objective function.Various algorithm rules were designed in TSA-BB to solve the model efficiently,and the feasibility and effectiveness of the model and algorithm were verified based on a large number of arithmetic simulations.The experimental results showed that the fuzzy indicators and quadruple bottom line co-modeling could better fit the real state of the supply chain,and the corporate governance capability should be an important decision basis for decision makers at all levels to consider in the balanced optimization of the supply chain network model.

Key words: quadruple bottom line, sustainable supply chain, corporate governance capability, tabu search, branch and bound

摘要： 针对可持续供应链网络多基于经济、环境、社会三重底线进行模型构建,未能充分描述企业自身治理能力与供应链模型的关联程度,同时为了更加准确地表示模型中不确定参数的真实状态,在《CITI评价指南8.0》的基础上,提出一种对经济成本、环境污染、社会影响与企业治理能力四重底线协同建模的模糊多目标可持续供应链网络模型,并设计了一种结合禁忌搜索与分支定界的混合式元启发算法(TSA-BB)对模型进行求解。首先,综合考虑四重底线的各项指标特征,建立相应的模糊层次分析结构模型表示各指标间的相对重要程度。然后,根据相对重要程度依次构建直接影响矩阵、综合影响矩阵,并依据二者计算各指标的加权中心度作为整合多目标函数的综合权重。最后,在TSA-BB中设计多种算法规则对模型进行高效求解,并基于大量算例仿真验证了模型与算法的可行性及有效性。实验结果表明,模糊指标与四重底线协同建模可更好地拟合供应链的真实状态,同时企业治理能力应成为各层级决策者均衡优化供应链网络模型需考虑的重要决策依据。

关键词: 四重底线, 可持续供应链, 企业治理能力, 禁忌搜索, 分支定界