Artikel

Partially distributed outer approximation

This paper presents a novel partially distributed outer approximation algorithm, named PaDOA, for solving a class of structured mixed integer convex programming problems to global optimality. The proposed scheme uses an iterative outer approximation method for coupled mixed integer optimization problems with separable convex objective functions, affine coupling constraints, and compact domain. PaDOA proceeds by alternating between solving large-scale structured mixed-integer linear programming problems and partially decoupled mixed-integer nonlinear programming subproblems that comprise much fewer integer variables. We establish conditions under which PaDOA converges to global minimizers after a finite number of iterations and verify these properties with an application to thermostatically controlled loads and to mixed-integer regression.

Sprache
Englisch

Erschienen in
Journal: Journal of Global Optimization ; ISSN: 1573-2916 ; Volume: 80 ; Year: 2021 ; Issue: 3 ; Pages: 523-550 ; New York, NY: Springer US

Klassifikation
Mathematik
Thema
Mixed integer programming
Distributed optimization
Outer approximation
Global optimization

Ereignis
Geistige Schöpfung
(wer)
Murray, Alexander
Faulwasser, Timm
Hagenmeyer, Veit
Villanueva, Mario E.
Houska, Boris
Ereignis
Veröffentlichung
(wer)
Springer US
(wo)
New York, NY
(wann)
2021

DOI
doi:10.1007/s10898-021-01015-0
Letzte Aktualisierung
20.09.2024, 08:22 MESZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Murray, Alexander
  • Faulwasser, Timm
  • Hagenmeyer, Veit
  • Villanueva, Mario E.
  • Houska, Boris
  • Springer US

Entstanden

  • 2021

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