Title: A new QPSO based hybrid algorithm for bound-constrained optimisation problem and its application in engineering design problems

Authors: Nirmal Kumar; Md Sadikur Rahman; Avijit Duary; Sanat Kumar Mahato; Asoke Kumar Bhunia

Addresses: Department of Mathematics, The University of Burdwan, Purba Barddhaman, 713104, West Bengal, India ' Department of Mathematics, The University of Burdwan, Purba Barddhaman, 713104, West Bengal, India ' Department of Mathematics, Supreme Knowledge Foundation Group of Institutions, Hooghly, 712139, West Bengal, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, 723104, West Bengal, India ' Department of Mathematics, The University of Burdwan, Purba Barddhaman, 713104, West Bengal, India

Abstract: The aim of this paper is to introduce a new hybrid algorithm for bound-constrained optimisation problem combining quantum behaved particle swarm optimisation (QPSO) and binary tournamenting technique. Depending on the different options of binary tournamenting process, six diverse forms of hybrid algorithm are introduced. Then the efficiency and performance of these hybrid algorithms are investigated through six well known benchmark bound-constrained optimisation problems. Computational results are compared graphically as well as numerically. Finally, this algorithm is utilised to solve four engineering design problems and results are compared with the recent algorithm available in the literature.

Keywords: PSO; particle swarm optimisation; QPSO; quantum behaved particle swarm optimisation; adaptive QPSO; Gaussian QPSO; tournamenting; hybrid algorithm; engineering design problem.

DOI: 10.1504/IJCSM.2020.112670

International Journal of Computing Science and Mathematics, 2020 Vol.12 No.4, pp.385 - 412

Received: 03 Oct 2019
Accepted: 02 Jan 2020

Published online: 26 Jan 2021 *

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