公平的多商品两头分配问题

IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE EURO Journal on Transportation and Logistics Pub Date : 2024-01-01 DOI:10.1016/j.ejtl.2024.100126
Shohre Zehtabian
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引用次数: 0

摘要

在公共部门新鲜农产品的短期本地供应链背景下,我们引入了一个公平的多商品双梯队配送问题。决策者必须决定如何公平地规划从供应商到配送中心的第一梯队商品收集行程,以及从配送中心到客户的第二梯队商品配送路线。在车辆路线选择问题中,除了最大限度地降低总运输成本这一传统目标外,还要确保所有供应商在利润方面获得公平的服务。为此,我们在问题中引入了公平度量作为一组约束条件。我们使用了文献中两种广泛使用的不平等度量,并提出了一种针对具体问题的新公平度量。我们将该问题建模为一个混合整数程序,采用基于弧线路线的表述方式,并提出了一种解决该问题的数学启发式。通过数值实验,我们分析了在一系列生成的实例和文献中的法国生鲜农产品供应链实例上,我们的数学启发式的性能。我们根据一系列关键性能指标评估了所使用的三种公平性方案的功效,并研究了不同公平性措施的优缺点。此外,我们还研究了执行公平性与优化运输成本之间的权衡,从而为供应链管理者提供启示。
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A fair multi-commodity two-echelon distribution problem

In the context of a short and local supply chain of fresh produce in the public sector, we introduce a fair multi-commodity two-echelon distribution problem. A decision maker has to decide on the planning of the first-echelon collection trips of commodities from suppliers to distribution centers equitably and on the second-echelon delivery routes of commodities from the centers to customers. In addition to the classic objective of minimizing the total transportation cost in vehicle routing problems, the goal is to make sure that all suppliers receive an equitable service with regard to their profits. This is done by introducing fairness measures into the problem as a set of constraints. We use two widely used inequality metrics from the literature and present a novel problem-specific equity measure as well. We model the problem as a mixed-integer program using an arc-route-based formulation and suggest a matheuristic to solve the problem. Through numerical experiments, we analyze the performance of our matheuristic on a series of generated instances and on the instances of a French fresh produce supply chain from the literature. We evaluate the efficacy of the three used fairness schemes with regard to a series of key performance metrics and investigate the strengths and weaknesses of the different fairness measures. Moreover, we study the trade-off between enforcing fairness and optimizing transportation costs to come up with insights for the managers of the supply chain.

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来源期刊
CiteScore
4.60
自引率
0.00%
发文量
24
审稿时长
129 days
期刊介绍: The EURO Journal on Transportation and Logistics promotes the use of mathematics in general, and operations research in particular, in the context of transportation and logistics. It is a forum for the presentation of original mathematical models, methodologies and computational results, focussing on advanced applications in transportation and logistics. The journal publishes two types of document: (i) research articles and (ii) tutorials. A research article presents original methodological contributions to the field (e.g. new mathematical models, new algorithms, new simulation techniques). A tutorial provides an introduction to an advanced topic, designed to ease the use of the relevant methodology by researchers and practitioners.
期刊最新文献
Inbound traffic capture link-design problem independent of assumptions on users’ route choices Modeling and solving a corporate vehicle-sharing problem combined with other modes of transport A fair multi-commodity two-echelon distribution problem Price optimal routing in public transportation Inbound traffic capture link-design problem independent of assumptions on users’ route choices
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