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This paper presents two stochastic optimization approaches for simultaneousproject scheduling and personnel planning, extending a deterministic modelpreviously developed by Heimerl and Kolisch. For the problem of assigning workpackages to multi-skilled human resources with heterogeneous skills, theuncertainty on work package processing times is addressed. In the case wherethe required capacity exceeds the available capacity of internal resources,external human resources are used. The objective is to minimize the expectedexternal costs. The first solution approach is a 'matheuristic' based on adecomposition of the problem into a project scheduling subproblem and astaffing subproblem. An iterated local search procedure determines the projectschedules, while the staffing subproblem is solved by means of the Frank-Wolfealgorithm for convex optimization. The second solution approach is SampleAverage Approximation where, based on sampled scenarios, the deterministicequivalent problem is solved through mixed integer programming. Experimentalresults for synthetically generated test instances inspired by a real-worldsituation are provided, and some managerial insights are derived.

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