Stochastic project management: Multiple projects with multi-skilled human resources

Author(s)
Thomas Felberbauer, Walter Gutjahr, Karl Franz Dörner
Abstract

This paper presents two stochastic optimization approaches for simultaneous project scheduling and personnel planning, extending a deterministic model previously developed by Heimerl and Kolisch. For the problem of assigning work packages to multi-skilled human resources with heterogeneous skills, the uncertainty on work package processing times is addressed. In the case where the required capacity exceeds the available capacity of internal resources, external human resources are used. The objective is to minimize the expected external costs. The first solution approach is a 'matheuristic' based on a decomposition of the problem into a project scheduling subproblem and a staffing subproblem. An iterated local search procedure determines the project schedules, while the staffing subproblem is solved by means of the Frank-Wolfe algorithm for convex optimization. The second solution approach is Sample Average Approximation where, based on sampled scenarios, the deterministic equivalent problem is solved through mixed integer programming. Experimental results for synthetically generated test instances inspired by a real-world situation are provided, and some managerial insights are derived.

Organisation(s)
Department of Statistics and Operations Research, Department of Business Decisions and Analytics, Research Platform Data Science @ Uni Vienna
Journal
Journal of Scheduling
Pages
1-33
No. of pages
33
ISSN
1094-6136
Publication date
12-2018
Publication status
Published
Austrian Fields of Science 2012
101019 Stochastics, 502030 Project management
Keywords
MR, Cat.2
Electronic versions
https://arxiv.org/abs/1812.00664
Portal url
https://ucris.univie.ac.at/portal/en/publications/stochastic-project-management-multiple-projects-with-multiskilled-human-resources(ef58a297-51eb-4c94-ad90-d0e6284c30be).html