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首页> 外文期刊>Advances in Environmental Technology >A mathematical multi-objective model for treatment network design (physical-biological-thermal) using modified NSGA II
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A mathematical multi-objective model for treatment network design (physical-biological-thermal) using modified NSGA II

机译：使用改进的NSGA II进行治疗网络设计（物理-生物-热）的数学多目标模型

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Today, sustainable development is one of the important issues in regard to the economy of a country. This issue magnifies the necessity for increased scrutiny towards issues such as environmental considerations and product recovery in closed-loop supply chains (CLSCs). The most important motivational factors influencing research on these topics can be considered in two general groups: environment-friendly legal requirements and cost efficiencies. The most important elements in the closed-loop supply chain include collection centers and treatment centers. This paper intended to design a network according to the mentioned principles. In this regard, three types of product treatment centers were taken into account: physical, biological, and thermal. The network design was made via a new mixed multi-objective nonlinear mathematical model of integers. In this model, three objective functions were considered that included profit maximization, pollution minimization, and the minimization of the number of facilities under construction. The model was obtained after determining the number of collection and treatment centers, the number of containers for storage of different waste materials, the amount of waste sent from collection centers to the treatment centers, and the areas covered by collection centers. Due to the conflicting objective functions, a corrected NSGAII algorithm was used to solve this model. The change applied in the mentioned algorithm was made to determine the appropriate amount of the crossover percentage. The improvement in the performance of the proposed solution algorithm is shown using a numerical example. To prove the improved performance, a T-test was used to compare the means between the two populations. To select the optimum answer from the Pareto solution set, indices of D, S, and solution time were used and solved with TOPSIS.
机译：今天，可持续发展已成为一国经济的重要问题之一。此问题放大了对诸如环境因素和闭环供应链（CLSC）中的产品回收之类的问题进行更多审查的必要性。影响这些主题研究的最重要的动机因素可以分为两大类：环境友好的法律要求和成本效率。闭环供应链中最重要的元素包括收集中心和处理中心。本文旨在根据上述原理设计网络。在这方面，考虑了三种类型的产品处理中心：物理，生物和热处理。通过新的整数混合多目标非线性数学模型进行网络设计。在该模型中，考虑了三个目标函数，包括利润最大化，污染最小化和在建设施数量的最小化。该模型是在确定收集和处理中心的数量，用于存储各种废物的容器的数量，从收集中心发送到处理中心的废物的数量以及收集中心所覆盖的区域之后获得的。由于目标函数的冲突，使用了修正的NSGAII算法来求解该模型。进行上述算法中的更改，以确定合适的交叉百分比量。数值示例显示了所提出的求解算法的性能改进。为了证明性能得到改善，使用了T检验来比较两个总体之间的均值。为了从帕累托解集中选择最佳答案，使用D，S和解题时间的指数并用TOPSIS进行求解。

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