Logistics cost management is tricky because improving services for customers often means higher costs. Lowering costs in one area can raise costs in another, leading to overall higher expenses. Different cost models help optimize logistics activities, which are crucial for managing logistics. The main goal of the article is to see if current studies are tackling these cost management issues. By analyzing how different logistics costs are handled, the article provides a solid base for improving supply chain processes. This research also brings together existing knowledge on logistics cost modeling, setting the stage for future studies.