Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 9 2 2025 10 07 Optimizing of the Used Commodities Recycling Process Problem by Designing a Reverse Logistics Network using the Multi-Objective Programming Method 221 252 1921 10.22128/ansne.2025.1037.1140 EN Gholam Hassan Shirdel Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran 0000-0003-2759-4606 Ali Abdoljabbar Fadhil Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran 0000-0001-7341-2258 Journal Article 2025 06 29 The increase in urban population, change in lifestyle, change in diet, as well as increase in the level of well-being and living standards in urban communities have caused a large amount of solid waste in big cities. Currently, managing the process of solid waste in big cities is one of the most important problems in developing countries. Most of the studies in the literature are focused on reverse logistics for one type of product for the recovery or recycling process, and not much attention has been paid to the reuse distribution network through charities. In this research, a framework for reusing all kinds of household appliances to reduce urban solid waste and help low-income families is proposed. A mixed integer linear mathematical model with uncertainty in the number of products is presented for reverse logistics network optimization. This model has been solved by used Genetic Algorithm and its applications have been discussed. In the designed logistics network, various topics such as recycling, repair and charity centers are considered. In order to show the performance of the presented model, a numerical example has been solved by software MATLAB. In this example, the software MATLAB obtains the network structure at an optimal cost. The results confirm the applicability of the model by providing a large number of second-hand products that can be transported and reused at an affordable cost. https://ansne.du.ac.ir/article_1921_7e42a793cdc63babc04e25b4931c2d66.pdf