This article provides a comprehensive review of quantitative models in the emerging field of reverse logistics, which focuses on the management of return flows from products and materials in industrial production processes. The authors subdivide the field into three main areas: distribution planning, inventory control, and production planning. They discuss the implications of reuse efforts, review existing mathematical models, and highlight areas requiring further research. The review emphasizes the differences and similarities between reverse logistics and traditional forward logistics methods. Key topics include the design of reverse distribution networks, inventory management with return flows, and production planning for remanufacturing and recycling. The article also addresses the integration of forward and reverse distribution channels, the impact of uncertainty on inventory systems, and the selection of recovery options. Despite the growing interest in reverse logistics, the literature on this topic remains limited, and there is a need for more systematic research and practical applications.This article provides a comprehensive review of quantitative models in the emerging field of reverse logistics, which focuses on the management of return flows from products and materials in industrial production processes. The authors subdivide the field into three main areas: distribution planning, inventory control, and production planning. They discuss the implications of reuse efforts, review existing mathematical models, and highlight areas requiring further research. The review emphasizes the differences and similarities between reverse logistics and traditional forward logistics methods. Key topics include the design of reverse distribution networks, inventory management with return flows, and production planning for remanufacturing and recycling. The article also addresses the integration of forward and reverse distribution channels, the impact of uncertainty on inventory systems, and the selection of recovery options. Despite the growing interest in reverse logistics, the literature on this topic remains limited, and there is a need for more systematic research and practical applications.