A Min-Max Tchebycheff Based Local Search Approach for MOMKP

Imen Ben Mansour, Ines Alaya, Moncef Tagina

2017

Abstract

The multi-objective multidimensional knapsack problem (MOMKP) which is one of the hardest multi-objective combinatorial optimization problems, presents a formal model for many real world problems. Its main goal consists in selecting a subset of items in order to maximize m objective functions with respect to q resource constraints. For that purpose, we present in this paper a resolution approach based on a Min-Max Tchebycheff iterated Local Search algorithm called Min-Max TLS. In this approach, we propose designing a neighborhood structure employing a permutation process to exploit the most promising regions of the search space while considering the diversity of the population. Therefore, Min-Max TLS uses Min-Max N(s) as a neighborhood structure, combining a Min-Extraction-Item algorithm and a Max-Insertion-Item algorithm. Moreover, in Min-Max TLS two Tchebycheff functions, used as a selection process, are studied: the weighted Tchebycheff (WT) and the augmented weighted Tchebycheff (AugWT). Experimental results are carried out with nine well-known benchmark instances of MOMKP. Results have shown the efficiency of the proposed approach in comparison to other approaches.

Paper Citation

in Harvard Style

Ben Mansour I., Alaya I. and Tagina M. (2017). A Min-Max Tchebycheff Based Local Search Approach for MOMKP . In Proceedings of the 12th International Conference on Software Technologies - Volume 1: ICSOFT, ISBN 978-989-758-262-2, pages 140-150. DOI: 10.5220/0006433801400150

in Bibtex Style

@conference{icsoft17,
author={Imen Ben Mansour and Ines Alaya and Moncef Tagina},
title={A Min-Max Tchebycheff Based Local Search Approach for MOMKP},
booktitle={Proceedings of the 12th International Conference on Software Technologies - Volume 1: ICSOFT,},
year={2017},
pages={140-150},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006433801400150},
isbn={978-989-758-262-2},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Conference on Software Technologies - Volume 1: ICSOFT,
TI - A Min-Max Tchebycheff Based Local Search Approach for MOMKP
SN - 978-989-758-262-2
AU - Ben Mansour I.
AU - Alaya I.
AU - Tagina M.
PY - 2017
SP - 140
EP - 150
DO - 10.5220/0006433801400150