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首页> 外文期刊>International journal of sustainable engineering >A multi-path routing-inventory problem for a closed-loop supply chain considering the heterogeneous fleet of vehicles
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A multi-path routing-inventory problem for a closed-loop supply chain considering the heterogeneous fleet of vehicles

机译：考虑到车辆异构队列的闭环供应链的多路径路由清点问题

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In this paper, the inventory-routing problem is studied for a closed-loop supply chain. This closed-loop supply chain considers suppliers, manufacturers, whole-sellers, and disposal centers. To formulate this problem, a mixed integer linear programming model is proposed. This mathematical model minimizes the total costs of the supply chain, including the fixed and variable costs of vehicles, and holding inventory costs of final products and scraps. The proposed model considers the road roughness degree, multi-path setting and the heterogeneous fleet of vehicles, which increases its flexibility and the quality of solutions. Then, two symmetry-breaking constraints are proposed to reduce the complexity of the mathematical model. In order to evaluate the integrity of the proposed model, 20 instances of different sizes are randomly generated and solved. Finally, a comprehensive sensitivity analysis is conducted with respect to five key features of the problem, such as the impact of the symmetry-breaking constraints on the CPU time, multi-path setting, fixed cost of vehicles, heterogeneous fleet of vehicles, and lost sales. The results indicate that the consideration of multi-path setting and the heterogeneous fleet of vehicles improves the quality of solutions significantly.
机译：在本文中，研究了闭环供应链的库存路由问题。这种闭环供应链考虑供应商，制造商，全卖家和处置中心。为了制定这个问题，提出了一种混合整数线性编程模型。该数学模型最大限度地减少了供应链的总成本，包括车辆的固定和可变成本，并持有最终产品和废料的库存成本。所提出的模型考虑了道路粗糙度，多路径设置和车辆的异构队列，这增加了其灵活性和解决方案的质量。然后，提出了两个对称性的断裂约束以降低数学模型的复杂性。为了评估所提出的模型的完整性，随机生成并解决了20种不同尺寸的实例。最后，对问题的五个关键特征进行了全面的敏感性分析，例如对称性破坏限制对CPU时间，多路径设置，车辆的固定成本，车辆异构队列的影响，以及丢失的影响销售量。结果表明，考虑到多路径设定和车辆的异构队列显着提高了溶液质量。

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