Mathematical Models for Disassembly Line Balancing and Pickup - Delivery Vehicle Routing Problem

Z. Çil, Damla Kizilay, Hande Öztop
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Abstract

This study addresses the integrated disassembly line balancing and pickup-delivery vehicle routing problem of companies with multiple disassembly centers. In a supply chain with distributed disassembly centers, the products to be disassembled must be collected from the factories where they are supplied and brought to the disassembly centers. Then, these collected products must be disassembled in the disassembly centers and these disassembled components must be distributed to the factories that demand the disassembled parts. Since there are distributed disassembly centers, factories that request components and factories that supply products should be assigned to the disassembly centers. This study aims to provide an integrated plan for the assignment, disassembly line balancing and collection-distribution processes. In this study, there are distributed disassembly centers with limited product supplies, and distribution and collection operations are considered together in the vehicle routing problem. The problem differs from the studies in the literature with these features. The simultaneous collection and distribution operations aim to save time and reduce transportation costs of vehicles. A mixed-integer nonlinear programming model, a mixed-integer linear programming model and a constraint programming model are presented to solve the integrated problem. The performance of the mixed-integer linear programming and constraint programming models has been evaluated using small-sized instances, and the computational findings indicate that both models can provide effective solutions for the problem.
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拆卸线平衡和取货-送货车辆路线问题的数学模型
本研究解决了拥有多个拆卸中心的公司的综合拆卸线平衡和取货-交货车辆路由问题。在具有分布式拆卸中心的供应链中,需要拆卸的产品必须从供应工厂收集并运往拆卸中心。然后,这些收集到的产品必须在拆卸中心进行拆卸,拆卸后的部件必须分发给需要拆卸部件的工厂。由于拆卸中心是分布式的,因此需要部件的工厂和提供产品的工厂都应被分配到拆卸中心。本研究旨在为分配、拆卸线平衡和收集-分配流程提供综合计划。在本研究中,存在产品供应有限的分布式拆卸中心,在车辆路由问题中将配送和收集操作放在一起考虑。该问题与文献中的研究不同,具有这些特点。同时进行收集和配送操作的目的是节省时间和降低车辆运输成本。本文提出了一个混合整数非线性编程模型、一个混合整数线性编程模型和一个约束编程模型来解决这个综合问题。利用小型实例对混合整数线性规划模型和约束规划模型的性能进行了评估,计算结果表明这两种模型都能为问题提供有效的解决方案。
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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