Method for Reliability Evaluation of Logistics Transportation Network Under Distance Constraint

doi:10.3778/j.issn.1002-8331.2208-0140

Abstract

Abstract: In order to accurately evaluate the service quality of logistics transportation network, a network reliability index with transportation distance constraint is proposed, which is defined as the probability that the network can transport a demand of d units of commodity from the supply place s to the demand place t under the condition that the transportation distance does not exceed the given limit. The key to calculate the reliability index is to find the d-minimal paths that meets the distance constraint. Then, this paper constructs a mathematical model with respect to distance-constrained d-minimal paths based on the determination of irrelevant arcs, and presents a method for network reliability evaluation under distance constraint. Finally, numerical experiments are implemented to verify the effectiveness of the proposed method and to analyze the effect of transportation distance on network reliability.

Key words: logistics transportation networks, reliability, transportation distance, irrelevant edges, d-minimal path

摘要： 为精准评估物流运输网络服务质量，考虑距离约束下的可靠性指标，其定义为网络能够将d单位的商品需求从供应地s运输到需求地t，且运输距离不超过给定上限的概率。计算该可靠性指标的关键是寻找满足距离约束的d-极小路。为此，在确定网络冗余边的基础上，构建了距离约束下的d-极小路数学模型，并提出距离约束下的可靠性评估方法。通过数值实验对提出的可靠性评估方法进行了检验，并分析了运输距离约束对网络可靠性的影响。

关键词: 物流运输网络, 可靠性, 运输距离, 冗余边, d-极小路

XU Xiuzhen, WU Guolin, NIU Yifeng, CHEN Siqi. Method for Reliability Evaluation of Logistics Transportation Network Under Distance Constraint[J]. Computer Engineering and Applications, 2023, 59(21): 327-333.

徐秀珍, 吴国林, 牛义锋, 陈思祁. 距离约束下的物流运输网络可靠性评估方法[J]. 计算机工程与应用, 2023, 59(21): 327-333.

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