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IEEE transactions on evolution￾ary computation, 2011, 15(1): 55–66. [10] QIN A K, HUANG V L, SUGANTHAN P N. Differential evolution algorithm with strategy adaptation for global nu￾merical optimization[J]. IEEE transactions on evolutionary computation, 2009, 13(2): 398–417. [11] 李荣雨, 陈庆倩, 陈菲尔. 改进种群多样性的双变异差分 进化算法[J]. 运筹学学报, 2017, 21(1): 44–54. LI Rongyu, CHEN Qingqian, CHEN Feier. Differential evolution algorithm with double mutation strategies for im￾proving population diversity[J]. Operations research trans￾actions, 2017, 21(1): 44–54. [12] WANG Ling, LI Lingpo. A coevolutionary differential evolution with harmony search for reliability-redundancy optimization[J]. Expert systems with applications, 2012, [13] 39(5): 5271–5278. ARUL R, RAVI G, VELUSAMI S. Chaotic self-adaptive differential harmony search algorithm based dynamic eco￾nomic dispatch[J]. International journal of electrical power and energy systems, 2013, 50: 85–96. [14] 雍龙泉, 刘三阳, 张建科, 等. 基于差分算子的和声搜索 算法求解非线性 l1 模极小化问题[J]. 兰州大学学报: 自 然科学版, 2013, 49(4): 541–546. YONG Longquan, LIU Sanyang, ZHANG Jianke, et al. Improved harmony search algorithm with differential oper￾ator for nonlinear l1 norm minimization problems[J]. Journal of Lanzhou university: natural sciences, 2013, 49(4): 541–546. [15] YONG Longquan, LIU Sanyang. An improved harmony search algorithm with differential operator for absolute value equation[J]. ICIC express letters, 2014, 8(4): 1151– 1157. [16] ABEDINPOURSHOTORBAN H, HASAN S, SHAM￾SUDDIN S M, et al. A differential-based harmony search algorithm for the optimization of continuous problems[J]. Expert systems with applications, 2016, 62: 317–332. [17] TANG K, YAO X, SUGANTHAN P N, et al. Benchmark functions for the CEC’2008 special session and competi￾tion on large scale global optimization[R]. Technical Re￾port. China: Nature Inspired Computation and Applica￾tions Laboratory, USTC, 2007. [18] TANG Ke, LI Xiaohong, SUGANTHAN P N, et al. Benchmark functions for the CEC’2010 special session and competition on large-scale global optimization[R]. Tech￾nical Report. Nanyang: Nature Inspired Computation and Applications Laboratory, USTC, China and Nanyang Tech￾nological University, 2009. [19] 作者简介： 黎延海，男，1981 年生，讲师，硕 士，主要研究方向为智能优化算法及 应用。 拓守恒，男，1978 年生，副教授， 博士研究生，CCF 会员，主要研究方向 为智能优化算法、生物信息分析与处 理，发表学术论文多篇。 第 2 期 黎延海，等：一种求解多模态复杂问题的混合和声差分算法 ·289·