Piecewise linear valued constraint satisfaction problems with fixed number of variables

Research output: Contribution to book/Conference proceedings/Anthology/ReportChapter in book/Anthology/ReportContributedpeer-review

Contributors

Abstract

Many combinatorial optimisation problems can be modelled as valued constraint satisfaction problems. In this paper, we present a polynomial-time algorithm solving the valued constraint satisfaction problem for a fixed number of variables and for piecewise linear cost functions. Our algorithm finds the infimum of a piecewise linear function and decides whether it is a proper minimum.

Details

Original languageEnglish
Title of host publicationAIRO Springer Series
PublisherSpringer International Publishing AG
Pages265-276
Number of pages12
Publication statusPublished - 2021
Peer-reviewedYes

External IDs

ORCID /0000-0001-8228-3611/work/142241061

Keywords

Keywords

  • Fixed dimension, Infinite-domain optimisation, Linear programming, Piecewise linear cost functions, Valued constraint satisfaction