This paper exposes and details the most relevant methods for the solution of the Resource Constrained Project Scheduling Problem, RCPSP. A critical review of the state of the art, based on the most significant papers published in the academic literature on this topic is carried out. Initially, several metaheuristic methods of solution are shown, especially those that have been implemented for sequencing problems, and their main characteristics, advantages and disadvantages are explained. Furthermore, the so-called sequence generating schemes and the complexity indices most commonly used are presented. Finally, the test library PSPLIB, used in most academic papers related to such problems is considered. [ABSTRACT FROM AUTHOR]