Improved dynamic lexicographic ordering for multi-objective optimisation

There is a variety of methods for ranking objectives in multiobjective optimization and some are difficult to define because they require information a priori (e.g. establishing weights in a weighted approach or setting the ordering in a lexicographic approach). In manyobjective optimization problem...

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Main Authors: Castro-Gutierrez, Juan, Landa-Silva, Dario, Moreno-Perez, Jose A.
Format: Conference or Workshop Item
Published: Springer 2010
Subjects:
Online Access:https://eprints.nottingham.ac.uk/35589/
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author Castro-Gutierrez, Juan
Landa-Silva, Dario
Moreno-Perez, Jose A.
author_facet Castro-Gutierrez, Juan
Landa-Silva, Dario
Moreno-Perez, Jose A.
author_sort Castro-Gutierrez, Juan
building Nottingham Research Data Repository
collection Online Access
description There is a variety of methods for ranking objectives in multiobjective optimization and some are difficult to define because they require information a priori (e.g. establishing weights in a weighted approach or setting the ordering in a lexicographic approach). In manyobjective optimization problems, those methods may exhibit poor diversification and intensification performance. We propose the Dynamic Lexicographic Approach (DLA). In this ranking method, the priorities are not fixed, but they change throughout the search process. As a result, the search process is less liable to get stuck in local optima and therefore, DLA offers a wider exploration in the objective space. In this work, DLA is compared to Pareto dominance and lexicographic ordering as ranking methods within a Discrete Particle Swarm Optimization algorithm tackling the Vehicle Routing Problem with Time Windows.
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format Conference or Workshop Item
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institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T19:26:57Z
publishDate 2010
publisher Springer
recordtype eprints
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spelling nottingham-355892020-05-04T16:29:44Z https://eprints.nottingham.ac.uk/35589/ Improved dynamic lexicographic ordering for multi-objective optimisation Castro-Gutierrez, Juan Landa-Silva, Dario Moreno-Perez, Jose A. There is a variety of methods for ranking objectives in multiobjective optimization and some are difficult to define because they require information a priori (e.g. establishing weights in a weighted approach or setting the ordering in a lexicographic approach). In manyobjective optimization problems, those methods may exhibit poor diversification and intensification performance. We propose the Dynamic Lexicographic Approach (DLA). In this ranking method, the priorities are not fixed, but they change throughout the search process. As a result, the search process is less liable to get stuck in local optima and therefore, DLA offers a wider exploration in the objective space. In this work, DLA is compared to Pareto dominance and lexicographic ordering as ranking methods within a Discrete Particle Swarm Optimization algorithm tackling the Vehicle Routing Problem with Time Windows. Springer 2010-09-11 Conference or Workshop Item PeerReviewed Castro-Gutierrez, Juan, Landa-Silva, Dario and Moreno-Perez, Jose A. (2010) Improved dynamic lexicographic ordering for multi-objective optimisation. In: Parallel Problem Solving from Nature - PPSN XI, Lecture Notes in Computer Science, Vol. 6239, 11-15 September 2010, Kraków, Poland. multiobjective optimization vehicle routing swarm optimization http://link.springer.com/chapter/10.1007%2F978-3-642-15871-1_4
spellingShingle multiobjective optimization
vehicle routing
swarm optimization
Castro-Gutierrez, Juan
Landa-Silva, Dario
Moreno-Perez, Jose A.
Improved dynamic lexicographic ordering for multi-objective optimisation
title Improved dynamic lexicographic ordering for multi-objective optimisation
title_full Improved dynamic lexicographic ordering for multi-objective optimisation
title_fullStr Improved dynamic lexicographic ordering for multi-objective optimisation
title_full_unstemmed Improved dynamic lexicographic ordering for multi-objective optimisation
title_short Improved dynamic lexicographic ordering for multi-objective optimisation
title_sort improved dynamic lexicographic ordering for multi-objective optimisation
topic multiobjective optimization
vehicle routing
swarm optimization
url https://eprints.nottingham.ac.uk/35589/
https://eprints.nottingham.ac.uk/35589/