New representation to reduce the search space for the resource-constrained project scheduling problem

Dept. Informatique et Recherche Opérationnelle, Université de Montréal, C. P. 6128, Succursale Centre-Ville, Montréal (Québec), H3C 3J7, Canada; khaled_moumene_75@yahoo.com; ferland@iro.umontreal.ca

Received: 1 June 2005
Accepted: 28 November 2007

Abstract

This paper describes a new representation for the solutions of the resource-constrained project scheduling problem (RCPSP) denoted Activity Set List. The most efficient heuristics for the problem use the activity list representation and the serial SGS method to construct the corresponding solution (schedule). The activity list may induce a search space of representations much larger then the space of schedules because the same schedule can correspond to many different activity list representations. We indicate how the activity set list representation can significantly reduce the search space, and how to move more efficiently through it. Furthermore, this new representation never excludes the optimal solution and it has many interesting properties. An evaluation of the search space reduction induced by this representation is made for the most used library of instances in the literature. The activity set list representation may be used to construct a new category of more efficient solution procedures for the problem.