Compact relaxations for polynomial programming problems

  • Sonia Cafieri
  • , Pierre Hansen
  • , Lucas Létocart
  • , Leo Liberti
  • , Frédéric Messine

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Reduced RLT constraints are a special class of Reformulation-Linearization Technique (RLT) constraints. They apply to nonconvex (both continuous and mixed-integer) quadratic programming problems subject to systems of linear equality constraints. We present an extension to the general case of polynomial programming problems and discuss the derived convex relaxation. We then show how to perform rRLT constraint generation so as to reduce the number of inequality constraints in the relaxation, thereby making it more compact and faster to solve. We present some computational results validating our approach.

Original languageEnglish
Title of host publicationExperimental Algorithms - 11th International Symposium, SEA 2012, Proceedings
Pages75-86
Number of pages12
DOIs
Publication statusPublished - 1 Aug 2012
Event11th International Symposium on Experimental Algorithms SEA 2012 - Bordeaux, France
Duration: 7 Jun 20129 Jun 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7276 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Symposium on Experimental Algorithms SEA 2012
Country/TerritoryFrance
CityBordeaux
Period7/06/129/06/12

Keywords

  • MINLP
  • RLT
  • convex relaxation
  • nonconvex
  • polynomial
  • reformulation
  • sBB

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