Resource levelling in project scheduling with generalized precedence relationships and variable execution intensities

Lucio Bianco (), Massimiliano Caramia () and Stefano Giordani ()
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Lucio Bianco: University of Rome “Tor Vergata”
Massimiliano Caramia: University of Rome “Tor Vergata”
Stefano Giordani: University of Rome “Tor Vergata”

OR Spectrum: Quantitative Approaches in Management, 2016, vol. 38, issue 2, No 6, 405-425

Abstract: Abstract We study the problem of levelling resources in a project with generalized precedence relationships, given a deadline for the completion of all the activities and variable execution intensities and flexible durations of the activities. Variable execution intensities have been taken into account firstly by Kis (Math Program 103(3):515–539, 2005) applied to a real world scenario in which, due to the physical characteristics of some manufacturing processes, the effort associated with a certain activity for its execution may vary over time. Generalized precedence relationships and variable intensity execution and duration have not been dealt with together to the best of our knowledge. For this novel problem we propose a mixed-integer linear programming formulation, a lower bound based on Lagrangian relaxation, and a branch and bound algorithm. Computational results on known benchmarks are provided.

Keywords: Project scheduling; Generalized precedence relationships; Resource levelling (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s00291-016-0435-1

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