在考虑运输损耗和运输成本约束情形下，提出多状态配送网络可靠性评估方法。通过引入损耗因子刻画运输损耗，进而根据需求流量和运输损耗建立流分配策略；基于此分配策略、运输边容量约束以及运输成本约束，提出计算配送网络可靠性的极小容量向量方法。通过实例分析验证了算法的有效性，并从可靠性视角探讨了关键运输边的识别方法，研究成果可为管理者在配送网络运维方面提供决策指导。

A method for computing the reliability of a multi-state distribution network under considerations of transportation damage and delivery cost was presented. The arc spoilage rate was used to characterize transportation damage. Subsequently, the network flow allocation strategy was constructed in terms of the demand level and transportation damage. Based on the flow allocation strategy, arc capacity constraint and delivery cost constraint, a minimal capacity vector method was proposed to compute the reliability of a distribution network. The effectiveness of the proposed method was demonstrated through numerical examples, and a method for the identification of critical arcs was explored from the reliability viewpoint. The research results can provide guidelines for managers in the distribution operation and maintenance.