The Resource Constrained Project Scheduling Problem: A theoretical comparison between a recent formulation and the main time indexed linear programming based approaches

We compare, at a theoretical level, the RCPSP formulation proposed in [L. Bianco and M. Caramia, Flexible Services and Manufacturing 25 (2013) 6-24.] with the main time indexed linear programming based mathematical models existing in the literature. This paper was inspired by the results of the experimental comparison among these models conducted in our previous work; in fact, such results showed that the formulation proposed by Bianco and Caramia bested the competing approaches. Here, by means of a theoretical analysis, we show the reason for this behaviour