Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

The Vector Evaluated Particle Swarm Optimisation algorithm is widely used to solve multiobjective optimisation problems. This algorithm optimises one objective using a swarm of particles where their movements are guided by the best solution found by another swarm. However, the best solution of a swa...

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Main Authors: Kian Sheng Lim, Zuwairie Ibrahim, Salinda Buyamin, Anita Ahmad, Faradila Naim, Kamarul Hawari Ghazali, Norrima Mokhtar
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/510763
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author Kian Sheng Lim
Zuwairie Ibrahim
Salinda Buyamin
Anita Ahmad
Faradila Naim
Kamarul Hawari Ghazali
Norrima Mokhtar
author_facet Kian Sheng Lim
Zuwairie Ibrahim
Salinda Buyamin
Anita Ahmad
Faradila Naim
Kamarul Hawari Ghazali
Norrima Mokhtar
author_sort Kian Sheng Lim
collection DOAJ
description The Vector Evaluated Particle Swarm Optimisation algorithm is widely used to solve multiobjective optimisation problems. This algorithm optimises one objective using a swarm of particles where their movements are guided by the best solution found by another swarm. However, the best solution of a swarm is only updated when a newly generated solution has better fitness than the best solution at the objective function optimised by that swarm, yielding poor solutions for the multiobjective optimisation problems. Thus, an improved Vector Evaluated Particle Swarm Optimisation algorithm is introduced by incorporating the nondominated solutions as the guidance for a swarm rather than using the best solution from another swarm. In this paper, the performance of improved Vector Evaluated Particle Swarm Optimisation algorithm is investigated using performance measures such as the number of nondominated solutions found, the generational distance, the spread, and the hypervolume. The results suggest that the improved Vector Evaluated Particle Swarm Optimisation algorithm has impressive performance compared with the conventional Vector Evaluated Particle Swarm Optimisation algorithm.
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id doaj-art-def7edaf8cfb4ec48c92889a3871a693
institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-def7edaf8cfb4ec48c92889a3871a6932025-02-03T05:54:05ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/510763510763Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated SolutionsKian Sheng Lim0Zuwairie Ibrahim1Salinda Buyamin2Anita Ahmad3Faradila Naim4Kamarul Hawari Ghazali5Norrima Mokhtar6Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, MalaysiaFaculty of Electrical and Electronic Engineering, Universiti Malaysia Pahang, 26600 Pekan, MalaysiaFaculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, MalaysiaFaculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, MalaysiaFaculty of Electrical and Electronic Engineering, Universiti Malaysia Pahang, 26600 Pekan, MalaysiaFaculty of Electrical and Electronic Engineering, Universiti Malaysia Pahang, 26600 Pekan, MalaysiaDepartment of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaThe Vector Evaluated Particle Swarm Optimisation algorithm is widely used to solve multiobjective optimisation problems. This algorithm optimises one objective using a swarm of particles where their movements are guided by the best solution found by another swarm. However, the best solution of a swarm is only updated when a newly generated solution has better fitness than the best solution at the objective function optimised by that swarm, yielding poor solutions for the multiobjective optimisation problems. Thus, an improved Vector Evaluated Particle Swarm Optimisation algorithm is introduced by incorporating the nondominated solutions as the guidance for a swarm rather than using the best solution from another swarm. In this paper, the performance of improved Vector Evaluated Particle Swarm Optimisation algorithm is investigated using performance measures such as the number of nondominated solutions found, the generational distance, the spread, and the hypervolume. The results suggest that the improved Vector Evaluated Particle Swarm Optimisation algorithm has impressive performance compared with the conventional Vector Evaluated Particle Swarm Optimisation algorithm.http://dx.doi.org/10.1155/2013/510763
spellingShingle Kian Sheng Lim
Zuwairie Ibrahim
Salinda Buyamin
Anita Ahmad
Faradila Naim
Kamarul Hawari Ghazali
Norrima Mokhtar
Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
The Scientific World Journal
title Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
title_full Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
title_fullStr Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
title_full_unstemmed Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
title_short Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions
title_sort improving vector evaluated particle swarm optimisation by incorporating nondominated solutions
url http://dx.doi.org/10.1155/2013/510763
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