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The sociotechnical teams formation problem: a mathematical optimization approach

Author

Listed:
  • Manoel Campêlo

    (Federal University of Ceará)

  • Tatiane Figueiredo

    (Federal University of Ceará)

  • Ana Silva

    (Federal University of Ceará)

Abstract

Based on the sociometric analysis of social networks, we introduce the sociotechnical teams formation problem (STFP). Given a group of individuals with different skill-sets and a social network that captures the mutual affinity between them, the problem consists in finding a set of pairwise disjoint teams, as harmonious as possible, with a minimum specified number of individuals per team per skill. We prove that STFP is $$\mathcal {NP}$$NP-hard and propose an integer linear programming formulation. We show several classes of facet-inducing inequalities for the corresponding polytope. Computational experiments performed on a set of 120 test instances attest the efficiency of a solution method based on the formulation strengthened by valid inequalities and on a simulated annealing algorithm used to provide good initial feasible solutions.

Suggested Citation

  • Manoel Campêlo & Tatiane Figueiredo & Ana Silva, 2020. "The sociotechnical teams formation problem: a mathematical optimization approach," Annals of Operations Research, Springer, vol. 286(1), pages 201-216, March.
    • Handle: RePEc:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-018-2759-5
    DOI: 10.1007/s10479-018-2759-5
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