Pareto-based Soft Arc Consistency for Multi-objective Valued CSPs

Limeme Ben Ali, Maher Helaoui, Wady Naanaa

2019

Abstract

A valued constraint satisfaction problem (VCSP) is a soft constraint framework that can formalize a wide range of applications related to Combinatorial Optimization and Artificial Intelligence. Most researchers have focused on the development of algorithms for solving mono-objective problems. However, many real-world satisfaction/optimization problems involve multiple objectives that should be considered separately and satisfied/optimized simultaneously. Solving a Multi-Objective Optimization Problem (MOP) consists of finding the set of all non-dominated solutions, known as the Pareto Front. In this paper, we introduce multi-objective valued constraint satisfaction problem (MO-VCSP), that is a VCSP involving multiple objectives, and we extend soft local arc consistency methods, which are widely used in solving Mono-Objective VCSP, in order to deal with the multi-objective case. Also, we present multi-objective enforcing algorithms of such soft local arc consistencies taking into account the Pareto principle. The new Pareto-based soft arc consistency (P-SAC) algorithms compute a Lower Bound Set of the efficient frontier. As a consequence, P-SAC can be integrated into a Multi-Objective Branch and Bound (MO-BnB) algorithm in order to ensure its pruning efficiency.

Paper Citation

in Harvard Style

Ben Ali L., Helaoui M. and Naanaa W. (2019). Pareto-based Soft Arc Consistency for Multi-objective Valued CSPs.In Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, ISBN 978-989-758-350-6, pages 294-305. DOI: 10.5220/0007401802940305

in Bibtex Style

@conference{icaart19,
author={Limeme Ben Ali and Maher Helaoui and Wady Naanaa},
title={Pareto-based Soft Arc Consistency for Multi-objective Valued CSPs},
booktitle={Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},
year={2019},
pages={294-305},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007401802940305},
isbn={978-989-758-350-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,
TI - Pareto-based Soft Arc Consistency for Multi-objective Valued CSPs
SN - 978-989-758-350-6
AU - Ben Ali L.
AU - Helaoui M.
AU - Naanaa W.
PY - 2019
SP - 294
EP - 305
DO - 10.5220/0007401802940305