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Multi-scale quantum harmonic oscillator algorithm for global numerical optimization

delete2018-08-01
delete35
PRE
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P
Peng Wang *
X
Xinggui Ye
B
Bo Li
K
Kun Cheng
DOI:10.1016/j.asoc.2018.05.005delete
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Abstract

Abstract

En 中文
This paper aims to provide a novel metaheuristic algorithm motivated from quantum motion entitled Multi-scale Quantum Harmonic Oscillator Algorithm (MQHOA). The calculation accuracy of MQHOA is adjustable. The physical model and mathematical analysis of the proposed algorithm are detailed and well interpreted in this paper. The structure of MQHOA is very simple, including merely two phases, the quantum harmonic oscillator process (QHO process) and multi-scale process (M process). Experiments are carried out to validate the effectiveness and efficiency of MQHOA by applying it to 30 well defined benchmark functions. We also compare MQHOA with several well-known metaheuristic algorithms, such as genetic algorithm (GA), simulated annealing (SA), particle swarm optimization (PSO) and quantum particle swarm optimization (QPSO). The comparative results indicate the competitive and superior performance of the proposed algorithm in both convergence speed and optimal solution accuracy. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Quantum harmonic oscillator algorithm
Quantum algorithm
Metaheuristic algorithm
Stochastic algorithm
Global optimization
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Journal

Applied Soft Computing cover
Applied Soft Computing
IF:
6.6
Papers:
1.4W
Citations:
4.8W

Organization

S
Southwest Minzu University
Scholars:
3.2K
Papers: 2.0K
Citations: 2.9K
C
chinese academy of sciences
Scholars:
56.1W
Papers: 44.8W
Citations: 704