Abstract
AbstractHarmony search (HS), which is widely used in many fields, is a meta-heuristic algorithm. In each iteration, HS generates a new solution under the harmony search consideration rate (HMCR) from harmony memory (HM). And the new solution is fine-tuned through a pitch adjustment rate (PAR). The basic HS obtains a random value from HM for each variable of a solution, and adjusts it in a fixed range. For the sake of improving its performance, we present an enhanced harmony search based on quantum mechanism (QEHS), which incorporates quantum concepts and differential mutation operation into the harmony search algorithm. QEHS reinforces the exploration and exploitation capability in search space, with the use of wave function from Schrödinger formula to express the harmony in HM. For reflecting the effectiveness of QEHS, simulations are carried on 30 benchmark functions from CEC2014. To manifest its feasibility, we compared the results of QEHS with that of other HS variants and some popular algorithms. Facts turn out that QEHS is an efficient and competitive algorithm.KeywordsHarmony searchQuantum mechanismDifferential mutation
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