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research article

Interchangeability with thresholds and degradation factors for Soft CSPs

Bistarelli, S.
•
Faltings, B.  
•
Neagu, N.  
2013
Annals Of Mathematics And Artificial Intelligence

Substitutability and interchangeability in constraint satisfaction problems (CSPs) have been used as a basis for search heuristics, solution adaptation and abstraction techniques. In this paper, we consider how the same concepts can be extended to soft constraint satisfaction problems (SCSPs). We introduce two notions: threshold alpha and degradation factor delta for substitutability and interchangeability, ( (alpha) substitutability/interchangeability and (delta) substitutability/interchangeabi-lity respectively). We show that they satisfy analogous theorems to the ones already known for hard constraints. In (alpha) interchangeability, values are interchangeable in any solution that is better than a threshold alpha, thus allowing to disregard differences among solutions that are not sufficiently good anyway. In (delta) interchangeability, values are interchangeable if their exchange could not degrade the solution by more than a factor of delta. We give efficient algorithms to compute ( (delta) / (alpha) )interchangeable sets of values for a large class of SCSPs, and show an example of their application. Through experimental evaluation based on random generated problem we measure first, how often neighborhood interchangeable values are occurring, second, how well they can approximate fully interchangeable ones, and third, how efficient they are when used as preprocessing techniques for branch and bound search.

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Type
research article
DOI
10.1007/s10472-013-9348-8
Web of Science ID

WOS:000318814000002

Author(s)
Bistarelli, S.
Faltings, B.  
Neagu, N.  
Date Issued

2013

Publisher

Springer

Published in
Annals Of Mathematics And Artificial Intelligence
Volume

67

Issue

2

Start page

123

End page

163

Subjects

Constraint satisfaction

•

Soft constraints

•

Constraint optimization

•

Interchangeability

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIA  
Available on Infoscience
October 1, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/95178
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