Branch-and-Price Based Heuristic Algorithm for Fuzzy Multi-Depot Bus Scheduling Problem

IF 1 4区计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems Pub Date : 2023-10-01 DOI:10.1142/s0218488523500393

Mohsen Saffarian, Malihe Niksirat, Mehdi Ghatee, Seyed Hadi Nasseri

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引用次数: 0

Abstract

This paper deals with fuzzy multi-depot bus scheduling (FMDBS) problem in which the objective function and constraints are defined with fuzzy attributes. Credibility relation is used to formulate the problem as an integer multicommodity flow problem. A novel combination of branch-and-price and heuristic algorithms, is proposed to efficiently solve FMDBS problem. In the proposed algorithm, the heuristic algorithm is applied to generate initial columns for the column generation method. Also, a heuristic algorithm is used to improve the generated solutions in each node of the branch-and-price tree. Two sets of benchmark examples are applied to demonstrate the efficiency of the proposed algorithm for large-scale instances. Also, the algorithm is applied to solve the classical multi-depot bus scheduling problem. The results show that the proposed algorithm decreases integrality gap and computational time in comparison with the state-of-the-art algorithms and normal branch-and-price algorithm. Finally, as a case study, the bus schedules in Tehran BRT network are generated.

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基于分支价格的模糊多车辆段公交调度启发式算法

本文研究了模糊多车辆段总线调度问题，该问题的目标函数和约束都是用模糊属性定义的。利用可信度关系将该问题表述为一个整数多商品流动问题。针对FMDBS问题，提出了一种分支定价与启发式算法相结合的新方法。在该算法中，采用启发式算法为列生成法生成初始列。此外，还采用启发式算法对分支价格树各节点的生成解进行改进。通过两组基准算例验证了该算法在大规模实例下的有效性。并将该算法应用于求解经典的多车辆段公交调度问题。结果表明，与现有算法和常规分支定价算法相比，该算法减小了完整性缺口和计算时间。最后，以德黑兰快速公交系统为例，生成了该系统的公交时刻表。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 工程技术-计算机：人工智能

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

13.5 months

期刊介绍： The International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems is a forum for research on various methodologies for the management of imprecise, vague, uncertain or incomplete information. The aim of the journal is to promote theoretical or methodological works dealing with all kinds of methods to represent and manipulate imperfectly described pieces of knowledge, excluding results on pure mathematics or simple applications of existing theoretical results. It is published bimonthly, with worldwide distribution to researchers, engineers, decision-makers, and educators.