Integrated Column Generation and Lagrangian Relaxation Approach for the Multi-Skill Project Scheduling Problem

Carlos Montoya (), Odile Bellenguez-Morineau (), Eric Pinson () and David Rivreau ()
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Carlos Montoya: Universidad de los Andes
Odile Bellenguez-Morineau: IRCCyN, Ecole des Mines de Nantes
Eric Pinson: LARIS (EA CNRS 4094), Université Catholique de l’Ouest
David Rivreau: LARIS (EA CNRS 4094), Université Catholique de l’Ouest

Chapter Chapter 26 in Handbook on Project Management and Scheduling Vol.1, 2015, pp 565-586 from Springer

Abstract: Abstract This chapter introduces a procedure to solve the Multi-Skill Project Scheduling Problem. The problem combines both the classical Resource-Constrained Project Scheduling Problem and the multi-purpose machine model. The aim is to find a schedule that minimizes the completion time (makespan) of a project composed of a set of activities. Precedence relations and resources constraints are considered. In this problem, resources are staff members that master several skills. Thus, a given number of workers must be assigned to perform each skill required by an activity. Practical applications include the construction of buildings, as well as production and software development planning. We present an approach that integrates the utilization of Lagrangian relaxation and column generation for obtaining strong makespan lower bounds. Finally, we present the corresponding obtained results.

Keywords: Column Generation; Lagrangian relaxation; Multi-skilled personnel; Project scheduling; Project staffing; Resource constraints (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-05443-8_26

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