A center-cut algorithm for quickly obtaining feasible solutions and solving convex MINLP problems

Jan Kronqvist, DE Bernal, Andreas Lundell, Tapio Westerlund

Tutkimustuotos: LehtiartikkeliArtikkeliTieteellinenvertaisarvioitu

9 Sitaatiot (Scopus)

Abstrakti

Here we present a center-cut algorithm for convex mixed-integer nonlinear programming (MINLP) that can either be used as a primal heuristic or as a deterministic solution technique. Like several other algorithms for convex MINLP, the center-cut algorithm constructs a linear approximation of the original problem. The main idea of the algorithm is to use the linear approximation differently in order to find feasible solutions within only a few iterations. The algorithm chooses trial solutions as the center of the current linear outer approximation of the nonlinear constraints, making the trial solutions more likely to satisfy the constraints. The ability to find feasible solutions within only a few iterations makes the algorithm well suited as a primal heuristic, and we prove that the algorithm finds the optimal solution within a finite number of iterations. Numerical results show that the algorithm obtains feasible solutions quickly and is able to obtain good solutions.
AlkuperäiskieliEi tiedossa
Sivut105–113
Sivumäärä9
JulkaisuComputers and Chemical Engineering
Vuosikerta122
DOI - pysyväislinkit
TilaJulkaistu - 2019
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Keywords

  • Cutting plane techniques
  • Center-cut algorithm
  • Primal heuristics
  • Convex MINLP
  • Outer approximation

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