Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization

This paper aims to solve the space robot pathfinding problem, formulated as a multi-objective (MO) optimization problem with a variable number of dimensions (VND). This formulation enables the search and comparison of potential solutions with different model complexities within a single optimization...

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Main Author: Petr Kadlec
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/16/6/307
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author Petr Kadlec
author_facet Petr Kadlec
author_sort Petr Kadlec
collection DOAJ
description This paper aims to solve the space robot pathfinding problem, formulated as a multi-objective (MO) optimization problem with a variable number of dimensions (VND). This formulation enables the search and comparison of potential solutions with different model complexities within a single optimization run. A novel VND MO algorithm based on the well-known particle swarm optimization (PSO) algorithm is introduced and thoroughly described in this paper. The novel VNDMOPSO algorithm is validated on a set of 21 benchmark problems with different dimensionality settings and compared with two other state-of-the-art VND MO algorithms. Then, it is applied to solve five different instances of the space robot pathfinding problem formulated as a VND MO problem where two objectives are considered: (1) the minimal distance of the selected path, and (2) the minimal energy cost (expressed as the number of turning points). VNDMOPSO shows at least comparable or better convergence on the benchmark problems and significantly better convergence properties on the VND pathfinding problems compared with other VND MO algorithms.
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spelling doaj.art-6b8f252e30dd471181c8b04e67b44e4d2023-11-18T08:57:05ZengMDPI AGAlgorithms1999-48932023-06-0116630710.3390/a16060307Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path OptimizationPetr Kadlec0Lerch Laboratory of EM Research, Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 3082/12, 616 00 Brno, Czech RepublicThis paper aims to solve the space robot pathfinding problem, formulated as a multi-objective (MO) optimization problem with a variable number of dimensions (VND). This formulation enables the search and comparison of potential solutions with different model complexities within a single optimization run. A novel VND MO algorithm based on the well-known particle swarm optimization (PSO) algorithm is introduced and thoroughly described in this paper. The novel VNDMOPSO algorithm is validated on a set of 21 benchmark problems with different dimensionality settings and compared with two other state-of-the-art VND MO algorithms. Then, it is applied to solve five different instances of the space robot pathfinding problem formulated as a VND MO problem where two objectives are considered: (1) the minimal distance of the selected path, and (2) the minimal energy cost (expressed as the number of turning points). VNDMOPSO shows at least comparable or better convergence on the benchmark problems and significantly better convergence properties on the VND pathfinding problems compared with other VND MO algorithms.https://www.mdpi.com/1999-4893/16/6/307space robotpathfindingheuristic algorithmparticle swarm optimizationvariable number of dimensionsmetameric optimization
spellingShingle Petr Kadlec
Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
Algorithms
space robot
pathfinding
heuristic algorithm
particle swarm optimization
variable number of dimensions
metameric optimization
title Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
title_full Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
title_fullStr Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
title_full_unstemmed Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
title_short Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization
title_sort multi objective pso with variable number of dimensions for space robot path optimization
topic space robot
pathfinding
heuristic algorithm
particle swarm optimization
variable number of dimensions
metameric optimization
url https://www.mdpi.com/1999-4893/16/6/307
work_keys_str_mv AT petrkadlec multiobjectivepsowithvariablenumberofdimensionsforspacerobotpathoptimization