There is studied the development of theoretical-mathematical models as a big variety of strategies for the conduction and coordination of problems in the Administration of the Chain of Supply of the organizations, taking as reference the logistic problem known as the Inventory Routing Problem (IRP), with the target to look with its functioning integral solutions that add value to the provisioning of a product or the provision of a specific service not only to seek economic benefits but also thinking of reducing the adverse impact caused to the environment. Algorithmic approaches for solving both deterministic and stochastic problems are considered, a series of investigation models of both simple and compound operations based on heuristic and metaheuristic methods that seek to minimize objectives such as the use of fossil fuels and the emission of greenhouse gases, which are often subject to constraints given by real field studies in the inefficient management of resources needed for distribution, transportation, inventory and storage of goods and services. We work on a review of the state of the art of literature, classifying, grouping and analyzing information presented in scientific articles with the objective of structuring an article of bibliographic review based on an analysis and taxonomy that yields a series of interesting findings.
