arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2411.05798cs.NEcs.AI
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多容量固定费用流网络设计的遗传算法

A Genetic Algorithm for Multi-Capacity Fixed-Charge Flow Network Design

School of Computing(计算机学院);Montana State University(蒙大拿州立大学);Department of Computer Science(计算机系);Rensselaer Polytechnic Institute(伦斯勒理工学院)

Caleb Eardley, Dalton Gomez, Ryan Dupuis, Michael Papadopoulos, Sean Yaw

AI总结:

本文提出一种遗传算法,通过新颖的解决方案表示方案消除无效流修复需求,快速求解NP难的多容量固定费用网络流问题,并在真实CO2捕集与封存数据上验证其高效性。

摘要:

多容量固定费用网络流(MC-FCNF)问题是固定费用网络流问题的一种推广,其目标是为流网络中的边分配容量,使得在最小成本下能够承载目标流量。这两个问题的成本模型规定,只要一条边承载了任何非零流量,就必须承担该边的固定费用。该问题自然出现在许多领域,包括基础设施设计、交通运输、电信和供应链管理。MC-FCNF问题是NP难的,因此使用精确技术求解大规模实例是不切实际的。本文提出了一种遗传算法,旨在快速找到MC-FCNF问题的高质量流解决方案。该遗传算法采用了一种新颖的解决方案表示方案,消除了修复无效流解决方案的需要,而这是许多其他针对MC-FCNF问题的遗传算法中常见的问题。通过使用真实的CO2捕集与封存基础设施设计数据进行评估,展示了该遗传算法的效率。评估结果凸显了该遗传算法在解决大规模网络设计问题方面的潜力。

英文摘要:

The Multi-Capacity Fixed-Charge Network Flow (MC-FCNF) problem, a generalization of the Fixed-Charge Network Flow problem, aims to assign capacities to edges in a flow network such that a target amount of flow can be hosted at minimum cost. The cost model for both problems dictates that the fixed cost of an edge is incurred for any non-zero amount of flow hosted by that edge. This problem naturally arises in many areas including infrastructure design, transportation, telecommunications, and supply chain management. The MC-FCNF problem is NP-Hard, so solving large instances using exact techniques is impractical. This paper presents a genetic algorithm designed to quickly find high-quality flow solutions to the MC-FCNF problem. The genetic algorithm uses a novel solution representation scheme that eliminates the need to repair invalid flow solutions, which is an issue common to many other genetic algorithms for the MC-FCNF problem. The genetic algorithm's efficiency is displayed with an evaluation using real-world CO2 capture and storage infrastructure design data. The evaluation results highlight the genetic algorithm's potential for solving large-scale network design problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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