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混合量子差分进化算法及应用

任子武 熊蓉 褚健

控制理论与应用2011,Vol.28Issue(10):1349-1355,7.
控制理论与应用2011,Vol.28Issue(10):1349-1355,7.

混合量子差分进化算法及应用

Hybrid quantum differential evolutionary algorithm and its applications

任子武 1熊蓉 2褚健2

作者信息

  • 1. 苏州大学机器人与微系统研究中心,江苏苏州215021
  • 2. 浙江大学智能系统与控制研究所,浙江杭州310027
  • 折叠

摘要

Abstract

Standard quantum-inspired evolutionary algorithm uses quantum gate to update the state of Q-bits, which deteriorates its optimization performance. A novel hybrid quantum-inspired evolutionary algorithm(HQDE) based on a hybrid of quantum differential evolutionary algorithm(QDE) and quantum harmony search(QHS) is presented. The HQDE adopts real-valued quantum angle to express the Q-bits of chromosome, and the new quantum population is produced through two approaches, i.e. QDE strategy and QHS strategy. Therein QDE strategy uses differential evolution to update the state of Q-bits, and QHS strategy employs harmony search to update the state of Q-bits. In addition, to avoid the disadvantage of easily getting in the local optimum, the HQDE performs quantum non-gate operation to transform the selected Q-bits of the current worst chromosome with a specified probability. Theoretical analysis proves that HQDE converges to the global optimum. The experimental results in solving 0-1 knapsack problem and 14 cities traveling salesman problem(TSP) demonstrate its effectiveness.

关键词

量子进化算法/差分进化/和声搜索/量子非门

Key words

quantum-inspired evolutionary algorithm/differential evolution/harmony search/quantum non-gate

分类

信息技术与安全科学

引用本文复制引用

任子武,熊蓉,褚健..混合量子差分进化算法及应用[J].控制理论与应用,2011,28(10):1349-1355,7.

基金项目

国家“863”计划重点资助项目(2008AA042602):国家自然科学基金资助项目(61075078). ()

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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