Symmetry Breaking in MILP Formulations for Unit Commitment Problems

Ricardo Lima, Augusto Q. Novais

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

This paper addresses the study of symmetry in Unit Commitment (UC) problems solved by Mixed Integer Linear Programming (MILP) formulations, and using Linear Programming based Branch & Bound MILP solvers. We propose three sets of symmetry breaking constraints for UC MILP formulations exhibiting symmetry, and its impact on three UC MILP models are studied. The case studies involve the solution of 24 instances by three widely used models in the literature, with and without symmetry breaking constraints. The results show that problems that could not be solved to optimality within hours can be solved with a relatively small computational burden if the symmetry breaking constraints are assumed. The proposed symmetry breaking constraints are also compared with the symmetry breaking methods included in two MILP solvers, and the symmetry breaking constraints derived in this work have a distinct advantage over the methods in the MILP solvers.
Original languageEnglish (US)
Pages (from-to)162-176
Number of pages15
JournalComputers & Chemical Engineering
Volume85
DOIs
StatePublished - Dec 16 2015

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Computer Science Applications

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