The paper analyzes the integrated fuzzy model with minimal latency in the location routing inventory of perishable multi-product materials, taking into account environmental constraints. Due to the corrupt nature of some items, minimizing the latency is very important in designing the supply chain systems of perishable items. On the other hand, considering environmental constraints provides a model for adapting as much as possible to real-world conditions. For this purpose, according to the above, a multi-period model was designed with three main objective functions, including minimizing the total supply chain costs, minimizing networks time, and minimizing the amount of pollution caused by chain activities. Due to the complex nature of the problem, the need to use metaheuristic approaches is inevitable. Therefore, two genetic algorithms NSGA II and PESA II were used in large, medium and small scales and the Epsilon constraint approach was used for small-scale problems. The results of the performance of algorithms based on standard indicators show better performance of NSGA II in small sizes and higher efficiency of PESA II in medium and large dimensions in terms of solution time and proximity to the Pareto boundary. Also, according to the results obtained through sensitivity analysis on the two main parameters of the problem, it was found that increasing the duration of corruption does not change costs and pollution, but increases the time of arrival of goods. On the other hand, by reducing the cost of transporting goods, we see a significant reduction in costs, but there is no change in the second and third objective functions, i.e. the time of arrival of goods and pollution.

本文分析了易腐烂多产品材料的位置路由库存中具有最小延迟的集成模糊模型，同时考虑了环境约束。由于某些物品的腐败性质，在设计易腐烂物品的供应链系统时，最小化延迟非常重要。另一方面，考虑环境约束提供了一个尽可能适应现实世界条件的模型。为此，根据上述目的，设计了具有三个主要目标函数的多周期模型，包括最小化供应链总成本、最小化网络时间和最小化链活动造成的污染量。由于问题的复杂性，使用元启发式方法的需要是不可避免的。所以，两种遗传算法NSGA II和PESA II用于大、中、小尺度，Epsilon约束方法用于小尺度问题。基于标准指标的算法性能结果表明，NSGA II在小尺寸下的性能更好，PESA II在中、大尺寸下的求解时间和接近帕累托边界的效率更高。此外，根据对问题的两个主要参数进行敏感性分析得到的结果，发现腐败持续时间的增加并没有改变成本和污染，而是增加了货物到达的时间。另一方面，通过降低运输货物的成本，我们看到成本显着降低，但第二和第三个目标函数没有变化，即