基于可调变异算子求解遗传算法的欺骗问题*

针对遗传算法GA(genetic algorithm)欺骗问题的某些特点,从理论上对变异算子进行分析,提出了解决GA欺骗问题的一种新的方法.该算法能够在遗传搜索过程中改变变异算子的方向和概率,使变异算子可调,这样可以有效地消除遗传算法中的欺骗性条件,保持群体的多样性,使GA能顺利地收敛到全局最优解.     

Structured population genetic algorithms: a literature survey

The Genetic Algorithm (GA) has been one of the most studied topics in evolutionary algorithm literature. Mimicking natural processes of inheritance, mutation, natural selection and genetic operators, GAs have been successful in solving various optimization problems. However, standard GA is often criticized as being too biased in candidate solutions due to genetic drift in search. As a result, GAs sometimes converge on premature solutions. In this paper, we survey the major advances in GA, particularly in relation to the class of structured population GAs, where better exploration and exploitation of the search space is accomplished by controlling interactions among individuals in the population pool. They can be classified as spatial segregation, spatial distance and heterogeneous population. Additionally, secondary factors such as aging, social behaviour, and so forth further guide and shape the reproduction process. Restricting randomness in reproduction has been seen to have positive effects on GAs. It is our hope that by reviewing the many existing algorithms, we shall see even better algorithms being developed.     

一种求解MSA问题的自适应遗传算法

多序列比对(MSA)在生物信息学研究中占有重要地位,MSA问题是一个典型的NP问题,遗传算法是求解NP完全问题的一种有效方法。文章针对MSA问题,提出了一种新型自适应遗传算法,根据群体的多样性自适应调节变异概率,有效消除了算法中的欺骗性条件,使用突变算子来确保算法的搜索能力。整个算法模拟了自然界进化的周期性,较好的解决了群体的多样性和收敛深度的矛盾。算法的分析和测试表明,该算法是有效的。     

求解MSA问题的新型单亲遗传算法

多序列联配(MSA)在生物信息学研究中占有重要地位,MSA问题是一个典型的NP问题,遗传算法是求解NP完全问题的一种理想方法。文章针对MSA问题,提出了一种新型单亲遗传算法(PGA),不使用交叉算子,只使用变异和选择算子。并根据群体的多样性自适应调节变异概率,有效消除了算法中的欺骗性条件,使用灾变算子来确保算法的搜索能力。整个算法模拟了自然界进化的周期性,较好地解决了群体的多样性和收敛深度的矛盾。算法的分析和测试表明,该算法是有效的。     

Combining genetic algorithms with BESO for topology optimization

This paper proposes a new algorithm for topology optimization by combining the features of genetic algorithms (GAs) and bi-directional evolutionary structural optimization (BESO). An efficient treatment of individuals and population for finite element models is presented which is different from traditional GAs application in structural design. GAs operators of crossover and mutation suitable for topology optimization problems are developed. The effects of various parameters used in the proposed GA on the optimization speed and performance are examined. Several 2D and 3D examples of compliance minimization problems are provided to demonstrate the efficiency of the proposed new approach and its capability of obtaining convergent solutions. Wherever possible, the numerical results of the proposed algorithm are compared with the solutions of other GA methods and the SIMP method.     

An adaptive real-coded genetic algorithm

Selecting operators, selection strategy, and tuning parameters for genetic algorithms (GAs)is usually a very time-consuming job. In this article we introduce a method for developing an adaptive real-coded genetic algorithm (ARGA) which aims at reducing this computation time. In developing the algorithm, we first use factorial design experiments to identify ''important'' and ''sensitive'' parameters. Then these parameters will be dynamically changed during the evolutionary process by efficient computing budget allocation. At the end of the search process, not only has the optimum of the original problem been found, but also the adaptive changing pattern of the GA parameters has been captured. This algorithm is successfully used to solve some benchmark problems, a Linear-Quadratic-Gaussian (LQG) problem and a drug scheduling problem. The results show that ARGA outperforms simple GAs and other adaptive GAs which use the same type of operators. Moreover, ARGA is able to find the optimum for some difficult problems while the simple GAs with the best parameter combination can only reach the local optimum.     

Design of an adaptive mutation operator in an electrical load management case study

An adequately designed and parameterized set of operators is crucial for an efficient behaviour of Genetic Algorithms (GAs). Several strategies have been adopted in order to better adapt parameters to the problem under resolution and to increase the algorithm's performance. One of these approaches consists in using operators presenting a dynamic behaviour, that is displaying a different qualitative behaviour in different stages of the evolutionary process. In this work a comparative analysis of the effects of using an adaptive mutation operator is presented in the operational framework of a multi-objective GA for the design and selection of electrical load management strategies. It is shown that the use of a time/space varying mutation operator depending on the values achieved for each objective function increases the performance of the algorithm.     

A new evolutionary approach to cutting stock problems with and without contiguity

Evolutionary algorithms (EAs) have been applied to many optimization problems successfully in recent years. The genetic algorithm (GAs) and evolutionary programming (EP) are two different types of EAs. GAs use crossover as the primary search operator and mutation as a background operator, while EP uses mutation as the primary search operator and does not employ any crossover. This paper proposes a novel EP algorithm for cutting stock problems with and without contiguity. Two new mutation operators are proposed. Experimental studies have been carried out to examine the effectiveness of the EP algorithm. They show that EP can provide a simple yet more effective alternative to GAs in solving cutting stock problems with and without contiguity. The solutions found by EP are significantly better (in most cases) than or comparable to those found by GAs.Scope and purposeThe one-dimensional cutting stock problem (CSP) is one of the classical combinatorial optimization problems. While most previous work only considered minimizing trim loss, this paper considers CSPs with two objectives. One is the minimization of trim loss (i.e., wastage). The other is the minimization of the number of stocks with wastage, or the number of partially finished items (pattern sequencing or contiguity problem). Although some traditional OR techniques (e.g., programming based approaches) can find the global optimum for small CSPs, they are impractical to find the exact global optimum for large problems due to combinatorial explosion. Heuristic techniques (such as various hill-climbing algorithms) need to be used for large CSPs. One of the heuristic algorithms which have been applied to CSPs recently with success is the genetic algorithm (GA). This paper proposes a much simpler evolutionary algorithm than the GA, based on evolutionary programming (EP). The EP algorithm has been shown to perform significantly better than the GA for most benchmark problems we used and to be comparable to the GA for other problems.     

遗传算法在作曲中的应用

对遗传算法在作曲中的应用进行了一定的探讨。介绍了遗传算法应用于作曲的基本过程。通过将给定的乐谱转换成相应的编码,采用遗传算法中的选择、交叉和变异算子产生新的乐曲。     

Preserving and Exploiting Genetic Diversity in Evolutionary Programming Algorithms

Evolution programming (EP) is an important category of evolutionary algorithms. It relies primarily on mutation operators to search for solutions of function optimization problems (FOPs). Recently a series of new mutation operators have been proposed in order to improve the performance of EP. One prominent example is the fast EP (FEP) algorithm which employs a mutation operator based on the Cauchy distribution instead of the commonly used Gaussian distribution. In this paper, we seek to improve the performance of EP via exploring another important factor of EP, namely, the selection strategy. Three selection rules R1–R3 have been presented to encourage both fitness diversity and solution diversity. Meanwhile, two solution exchange rules R4 and R5 have been introduced to further exploit the preserved genetic diversity. Simple theoretical analysis suggests that through the proper use of R1–R5, EP is more likely to find high-fitness solutions quickly. Our claim has been examined on 25 benchmark functions. Empirical evidence shows that our solution selection and exchange rules can significantly enhance the performance of EP.      

一种新的约束优化遗传算法及其工程应用

提出一种新的用于求解约束优化问题的遗传算法,该算法利用佳点集方法初始化个体以维持种群的多样性.在进化过程中,通过可行解与不可行解算术交叉对问题的决策空间进行搜索;对可行种群与不可行种群分别采用高斯变异和柯西变异,从而协调算法的勘探和开采能力.几个标准测试问题的实验结果表明该算法的有效性;应用新算法求解两个工程优化设计问题,结果表明该算法的可行性.     

Adaptive directed mutation for real-coded genetic algorithms

Adaptive directed mutation (ADM) operator, a novel, simple, and efficient real-coded genetic algorithm (RCGA) is proposed and then employed to solve complex function optimization problems. The suggested ADM operator enhances the abilities of GAs in searching global optima as well as in speeding convergence by integrating the local directional search strategy and the adaptive random search strategies. Using 41 benchmark global optimization test functions, the performance of the new algorithm is compared with five conventional mutation operators and then with six genetic algorithms (GAs) reported in literature. Results indicate that the proposed ADM-RCGA is fast, accurate, and reliable, and outperforms all the other GAs considered in the present study.     

Genetic algorithms to solve the cover printing problem

Inspired by successful application of evolutionary algorithms to solving difficult optimization problems, we explore in this paper, the applicability of genetic algorithms (GAs) to the cover printing problem, which consists in the grouping of book covers on offset plates in order to minimize the total production cost. We combine GAs with a linear programming solver and we propose some innovative features such as the “unfixed two-point crossover operator” and the “binary stochastic sampling with replacement” for selection. Two approaches are proposed: an adapted genetic algorithm and a multiobjective genetic algorithm using the Pareto fitness genetic algorithm. The resulting solutions are compared. Some computational experiments have also been done to analyze the effects of different genetic operators on both algorithms.     

Evolution of Appropriate Crossover and Mutation Operators in a Genetic Process

Traditional genetic algorithms use only one crossover and one mutation operator to generate the next generation. The chosen crossover and mutation operators are critical to the success of genetic algorithms. Different crossover or mutation operators, however, are suitable for different problems, even for different stages of the genetic process in a problem. Determining which crossover and mutation operators should be used is quite difficult and is usually done by trial-and-error. In this paper, a new genetic algorithm, the dynamic genetic algorithm (DGA), is proposed to solve the problem. The dynamic genetic algorithm simultaneously uses more than one crossover and mutation operators to generate the next generation. The crossover and mutation ratios change along with the evaluation results of the respective offspring in the next generation. By this way, we expect that the really good operators will have an increasing effect in the genetic process. Experiments are also made, with results showing the proposed algorithm performs better than the algorithms with a single crossover and a single mutation operator.     

Simulation and evolutionary optimization of electron-beam lithography with genetic and simplex-downhill algorithms

Genetic and simplex-downhill (SD) algorithms were used for the optimization of the electron-beam lithography (EBL) step in the fabrication of microwave electronic circuits. The definition of submicrometer structures involves complex exposure patterns that are cumbersome to determine experimentally and very difficult to optimize with linear search algorithms due to the high dimensionality of the search space. An SD algorithm was first used to solve the optimization problem. The large number of parameters and the complex topology of the search space proved too difficult for this algorithm, which could not yield satisfactory patterns. A hybrid approach using genetic algorithms (GAs) for global search, and an SD algorithm for further local optimization, was unable to drastically improve the structures optimized with GAs alone. A carefully studied fitness function was used. It contains mechanisms for reduced dependence on process tolerances. Several methods were studied for the selection, crossover, mutation, and reinsertion operators. The GA was used to predict scanning patterns for 100-nm T-gates and gate profiles with asymmetric recess and the structures were fabricated successfully. The simulation and optimization tool can help shorten response times to alterations of the EBL process by suppressing time-consuming experimental trial-and-error steps.     

基于变长编码遗传算法的最小缩减计算

在数据库知识发现的过程中,属性选取是其中的一个重要步骤,它通过去除冗余属性,达到提高数据挖掘效能的目的。本文利用粗糙集合中的理论作为背景知识,讨论了使用遗传算法寻找最小缩减的方法,并提出采用个体变长编码的方法来解决最小缩减的计算问题,设计出相应的交叉、变异算子,实验证明其具有较好的收敛性能。     

基于并行遗传神经网络算法的动态路径选择方法

实时、高效的求解大规模路网中的最优路径是动态路径诱导领域的研究难点。针对基本遗传算法在计算大型网络的优化问题时表现出的求解效率低等缺点,在基本遗传算法中引入了子群体和迁移策略,提出了基于并行遗传算法的最优路径选择方法,设计了适用于路径优化的编码方式、适应度函数、遗传操作算子和迁移算子,并采用神经网络预测方法构造了实时动态的路阻矩阵。仿真试验表明:该方法的准确性、实时性和快速性优于基本遗传算法,并且大规模路网中求解效率和求解质量的平衡问题也得以解决。     

遗传算法优化速度的改进

分析了传统变异算子的不足,提出用二元变异算子代替传统的变异算子,并讨论了它在克服早熟收敛方面的作用.同时,针对二进制编码的遗传算法的特点,提出了解码算法的隐式实现方案,使得遗传算法的寻优时间缩短6～50倍.实验从多方面对二元变异算子的遗传算法进行性能测试,结果表明,改进型算法收敛快,参数鲁棒性好,能有效地克服“早熟”收敛.通过改进变异算子和解码算法,遗传算法的优化速度得到了很大的提高.     

改进NSGA算法求解多目标柔性车间作业调度问题

在多目标柔性车间作业调度问题的研究中,求解算法与多目标处理至关重要。因此,基于非支配排序遗传算法提出了改进遗传算法求解该问题,设计了相应的矩阵编码、交叉算子,改进了非劣前沿分级方法,并提出了基于Pareto等级的自适应变异算子以及精英保留策略。实例计算表明,该算法可以利用传统遗传算法全局搜索能力的同时可以防止早熟现象的发生。改进非劣前沿分级方法可以快速得到Pareto最优解集,进一步减小了计算复杂度,而且可以根据种群的多样性改变变异概率,有利于保持种群多样性、发掘潜力个体。     

Domain-specific initial population strategy for compliant mechanisms using customized genetic algorithm

Genetic algorithms (GAs) can precisely handle the discrete structural topology optimization of single-piece elastic structures called compliant mechanisms. The initial population of these elastic structures is mostly generated by assigning the material at random. This causes disconnected or unfeasible designs and further rule-based repairing can result in representation degeneracy. However, the problem-specific initial population can affect the performance of GAs like other operators. In this paper, a domain-specific initial population strategy is developed that generates geometrically feasible structures for path generating compliant mechanisms (PGCMs). It is coupled with the elitist non-dominated sorting genetic algorithm (NSGA-II) which has been customized for structural topology optimization. The performance of initial population strategy over random initialization using customized NSGA-II is checked on single and bi-objective optimization problems. Based on the results, it is observed that the custom initialization outperforms the random initialization by dominating all the solutions and exploring larger area of posed objectives. The elastic structures obtained by solving two examples of PGCMs using domain specific initial population strategy are also presented.