关键词: 多尺度量子谐振子优化算法（MQHOA）, 优化算法, 测不准关系, 高斯随机数

Abstract: Multi-scale quantum harmonic oscillator optimization algorithm (MQHOA) is a novel algorithm inspired by the physical model of harmonic oscillator and the probability interpretation of quantum harmonic oscillator’s wave function. This paper demonstrates the uncertainty relationship between global searching accuracy and local searching accuracy, and defines the wave function of MQHOA according to quantum model. Quantum harmonic oscillator convergence and multi-scale convergence are nested, and are the basic convergence processes of MQHOA to gradually approach the global optimal solution. The comparison experiments with quantum-behaved particle swarm optimization (QPSO) and simulated annealing (SA) on 15 benchmark functions show that MQHOA has good performance in adaptability, stability and accuracy when tackling with function global optimization algorithm.

Key words: multi-scale quantum harmonic oscillator optimization algorithm (MQHOA), optimization algorithm, uncertainty relationship, Gauss random number