Skip to main navigation Skip to search Skip to main content

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

  • Carlos Montoya
  • , Odile Bellenguez-Morineau
  • , Eric Pinson
  • , David Rivreau
  • Universidad de los Andes Colombia
  • IRCCyN - Institut de Recherche en Communications et Cybernétique de Nantes
  • Université Catholique de l’Ouest, Angers

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

10 Scopus citations

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.
Original languageEnglish
Title of host publicationHandbook on Project Management and Scheduling Vol.1
Pages565–586
Number of pages21
ISBN (Electronic)978-3-319-05443-8
DOIs
StatePublished - 2015
Externally publishedYes

Keywords

  • Column Generation
  • Lagrangian relaxation
  • Multi-skilled personnel
  • Project scheduling
  • Project staffing
  • Resource constraints

Fingerprint

Dive into the research topics of 'Integrated Column Generation and Lagrangian Relaxation Approach for the Multi-Skill Project Scheduling Problem'. Together they form a unique fingerprint.

Cite this