The optimal layout of a complex system such as aerospace vehicles consists in placing a given number of components in a container in order to minimize one or several objectives under some geometrical or functional constraints. This paper presents an extended formulation of this problem as a variable-size design space (VSDS) problem to take into account a large number of architectural choices and components allocation during the design process. As a representative example of such systems, considering the layout of a satellite module, the VSDS aspect translates the fact that the optimizer has to choose between several subdivisions of the components. For instance, one large tank of fuel might be placed as well as two smaller tanks or three even smaller tanks for the same amount of fuel. In order to tackle this NP-hard problem, a genetic algorithm enhanced by an adapted hidden-variables mechanism is proposed. This latter is illustrated on a toy case and an aerospace application case representative to real world complexity to illustrate the performance of the proposed algorithms. The results obtained using the proposed mechanism are reported and analyzed.
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Explicitly accounting for uncertainties is paramount to the safety of engineering structures. Optimization which is often carried out at the early stage of the structural design offers an ideal framework for this task. When the uncertainties are mainly affecting the objective function, robust design optimization is traditionally considered. This work further assumes the existence of multiple and competing objective functions that need to be dealt with simultaneously. The optimization problem is formulated by considering quantiles of the objective functions which allows for the combination of both optimality and robustness in a single metric. By introducing the concept of common random numbers, the resulting nested optimization problem may be solved using a general-purpose solver, herein the non-dominated sorting genetic algorithm (NSGA-II). The computational cost of such an approach is however a serious hurdle to its application in real-world problems. We therefore propose a surrogate-assisted approach using Kriging as an inexpensive approximation of the associated computational model. The proposed approach consists of sequentially carrying out NSGA-II while using an adaptively built Kriging model to estimate the quantiles. Finally, the methodology is adapted to account for mixed categorical-continuous parameters as the applications involve the selection of qualitative design parameters as well. The methodology is first applied to two analytical examples showing its efficiency. The third application relates to the selection of optimal renovation scenarios of a building considering both its life cycle cost and environmental impact. It shows that when it comes to renovation, the heating system replacement should be the priority.
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Metaheuristics are popularly used in various fields, and they have attracted much attention in the scientific and industrial communities. In recent years, the number of new metaheuristic names has been continuously growing. Generally, the inventors attribute the novelties of these new algorithms to inspirations from either biology, human behaviors, physics, or other phenomena. In addition, these new algorithms, compared against basic versions of other metaheuristics using classical benchmark problems without shift/rotation, show competitive performances. In this study, we exhaustively tabulate more than 500 metaheuristics. To comparatively evaluate the performance of the recent competitive variants and newly proposed metaheuristics, 11 newly proposed metaheuristics and 4 variants of established metaheuristics are comprehensively compared on the CEC2017 benchmark suite. In addition, whether these algorithms have a search bias to the center of the search space is investigated. The results show that the performance of the newly proposed EBCM (effective butterfly optimizer with covariance matrix adaptation) algorithm performs comparably to the 4 well performing variants of the established metaheuristics and possesses similar properties and behaviors, such as convergence, diversity, exploration and exploitation trade-offs, in many aspects. The performance of all 15 of the algorithms is likely to deteriorate due to certain transformations, while the 4 state-of-the-art metaheuristics are less affected by transformations such as the shifting of the global optimal point away from the center of the search space. It should be noted that, except EBCM, the other 10 new algorithms proposed mostly during 2019-2020 are inferior to the well performing 2017 variants of differential evolution and evolution strategy in terms of convergence speed and global search ability on CEC 2017 functions.
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二进制矩阵优化通常是在现实世界中出现的,例如多微晶网络结构设计问题(MGNSDP),即在某些约束下最小化电源线的总长度。为这些问题找到全球最佳解决方案面临着一个巨大的挑战,因为此类问题可能是大规模,稀疏和多模式。传统的线性编程是耗时的,无法解决非线性问题。为了解决这个问题,提出了一种新颖的可行性规则基于差异进化算法,称为LBMDE。具体来说,首先提出了一种通用启发式溶液初始化方法来生成高质量的解决方案。然后,引入了基于二进制的DE操作员以生产后代。为了处理约束,我们提出了改进的基于可行性规则的环境选择策略。通过一组基准问题来检查LBMDE的性能和搜索行为。
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In this paper we propose new probabilistic and dynamic (adaptive) strategies to create multi-method ensembles based on the Coral Reefs Optimization with Substrate Layers (CRO-SL) algorithm. The CRO-SL is an evolutionary-based ensemble approach, able to combine different search procedures within a single population. In this work we discuss two different probabilistic strategies to improve the algorithm. First, we defined the Probabilistic CRO-SL (PCRO-SL), which substitutes the substrates in the CRO-SL population by {\em tags} associated with each individual. Each tag represents a different operator which will modify the individual in the reproduction phase. In each generation of the algorithm, the tags are randomly assigned to the individuals with a similar probability, obtaining this way an ensemble with a more intense change in the application of different operators to a given individual than the original CRO-SL. The second strategy discussed in this paper is the Dynamical Probabilistic CRO-SL (DPCRO-SL), in which the probability of tag assignment is modified during the evolution of the algorithm, depending on the quality of the solutions generated in each substrate. Thus, the best substrates in the search process will be assigned with a higher probability that those which showed a worse performance during the search. We test the performance of the proposed probabilistic and dynamic ensembles in different optimization problems, including benchmark functions and a real application of wind turbines layout optimization, comparing the results obtained with that of existing algorithms in the literature.
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In today's uncertain and competitive market, where enterprises are subjected to increasingly shortened product life-cycles and frequent volume changes, reconfigurable manufacturing systems (RMS) applications play a significant role in the manufacturing industry's success. Despite the advantages offered by RMS, achieving a high-efficiency degree constitutes a challenging task for stakeholders and decision-makers when they face the trade-off decisions inherent in these complex systems. This study addresses work tasks and resource allocations to workstations together with buffer capacity allocation in RMS. The aim is to simultaneously maximize throughput and minimize total buffer capacity under fluctuating production volumes and capacity changes while considering the stochastic behavior of the system. An enhanced simulation-based multi-objective optimization (SMO) approach with customized simulation and optimization components is proposed to address the abovementioned challenges. Apart from presenting the optimal solutions subject to volume and capacity changes, the proposed approach support decision-makers with discovered knowledge to further understand the RMS design. In particular, this study presents a problem-specific customized SMO combined with a novel flexible pattern mining method for optimizing RMS and conducting post-optimal analyzes. To this extent, this study demonstrates the benefits of applying SMO and knowledge discovery methods for fast decision-support and production planning of RMS.
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算法配置(AC)与对参数化算法最合适的参数配置的自动搜索有关。目前,文献中提出了各种各样的交流问题变体和方法。现有评论没有考虑到AC问题的所有衍生物,也没有提供完整的分类计划。为此,我们引入分类法以分别描述配置方法的交流问题和特征。我们回顾了分类法的镜头中现有的AC文献,概述相关的配置方法的设计选择,对比方法和问题变体相互对立,并描述行业中的AC状态。最后,我们的评论为研究人员和从业人员提供了AC领域的未来研究方向。
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空间优化问题(SOP)的特征是管理决策变量,目标和/或约束功能的空间关系。在本文中,我们关注一种称为空间分区的特定类型的SOP,这是一个组合问题,这是由于存在离散空间单元。精确的优化方法不会随着问题的大小而扩展,尤其是在可行的时间限制内。这促使我们开发基于人群的元启发式学来解决此类SOP。但是,这些基于人群的方法采用的搜索操作员主要是为实参与者连续优化问题而设计的。为了使这些方法适应SOP,我们将域知识应用于设计空间感知的搜索操作员,以在保留空间约束的同时有效地通过离散搜索空间进行有效搜索。为此,我们提出了一种简单而有效的算法,称为基于群的空间模因算法(空间),并在学校(RE)区域问题上进行测试。对现实世界数据集进行了详细的实验研究,以评估空间的性能。此外,进行消融研究以了解空间各个组成部分的作用。此外,我们讨论空间〜如何在现实生活计划过程及其对不同方案的适用性并激发未来的研究方向有帮助。
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电磁检测卫星调度问题(EDSSP)的研究引起了人们对大量目标的检测要求的关注。本文提出了一个针对EDSSP问题的混合成员编程模型,以及基于强化学习(RL-EA)的进化算法框架。在模型中考虑了影响电磁检测的许多因素,例如检测模式,带宽和其他因素。基于强化学习的进化算法框架使用Q学习框架,并且人群中的每个人都被视为代理。根据提出的框架,设计了一种基于Q的遗传算法(QGA)。 Q学习用于通过选择变异操作员来指导人口搜索过程。在算法中,我们设计了一个奖励功能来更新Q值。根据问题的特征,提出了一种新的组合,采取了行动>。 QGA还使用精英个人保留策略来提高搜索性能。之后,提出了一个任务时间窗口选择算法来评估人口进化的性能。各种量表实验用于检查所提出算法的计划效果。通过对多个实例的实验验证,可以看出QGA可以有效地解决EDSSP问题。与最新的算法相比,QGA算法在几个方面的表现更好。
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在过去的几十年中,经典的车辆路由问题(VRP),即为车辆分配一组订单并规划他们的路线已经被密集研究。仅作为车辆的订单分配和他们的路线已经是一个NP完整的问题,因此在实践中的应用通常无法考虑在现实世界应用中应用的约束和限制,所谓的富VRP所谓的富VRP(RVRP)并且仅限于单一方面。在这项工作中,我们融入了主要的相关真实限制和要求。我们提出了一种两级策略和时间线窗口和暂停时间的时间线算法,并将遗传算法(GA)和蚁群优化(ACO)单独应用于问题以找到最佳解决方案。我们对四种不同问题实例的评估,针对四个最先进的算法表明,我们的方法在合理的时间内处理所有给定的约束。
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传统的统计技术或元启发式学很难解决大多数现实世界的优化问题。主要困难与存在相当数量的局部Optima有关,这可能导致优化过程的过早收敛性。为了解决这个问题,我们提出了一种新型的启发式方法,用于构建原始功能的平滑替代模型。替代功能更容易优化,但保持原始坚固的健身景观的基本属性:全球最佳的位置。为了创建这样的替代模型,我们考虑通过自我调整健身函数增强的线性遗传编程方法。所提出的称为GP-FST-PSO替代模型的算法在搜索全局最优值和原始基准函数的视觉近似(在二维情况下)的视觉近似都可以达到令人满意的结果。
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可以将多任务学习(MTL)范例追溯到Caruana(1997)的早期纸张中,其中表示可以使用来自多个任务的数据,其目的是在独立地学习每个任务的旨在获得更好的性能。 MTL与相互矛盾的目标的解决方案需要在它们中进行折衷,这通常超出了直线组合可以实现的。理论上原则和计算有效的策略正在寻找不受他人主导的解决方案,因为它在帕累托分析中解决了它。多任务学习环境中产生的多目标优化问题具有特定的功能,需要adhoc方法。对这些特征的分析和新的计算方法的提议代表了这项工作的重点。多目标进化算法(MOEAS)可以容易地包括优势的概念,因此可以分析。 MOEAS的主要缺点是关于功能评估的低样本效率。此缺点的关键原因是大多数进化方法不使用模型来近似于目标函数。贝叶斯优化采用基于代理模型的完全不同的方法,例如高斯过程。在本文中,输入空间中的解决方案表示为封装功能评估中包含的知识的概率分布。在这种概率分布的空间中,赋予由Wassersein距离给出的度量,可以设计一种新的算法MOEA / WST,其中模型不直接在目标函数上,而是在输入空间中的对象的中间信息空间中被映射成直方图。计算结果表明,MoEA / WST提供的样品效率和帕累托集的质量明显优于标准MoEa。
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近年来,生成设计技术已在许多应用领域,尤其是在工程领域中牢固地建立。这些方法证明了由于前景有希望的增长。但是,现有方法受到考虑的问题的特异性受到限制。此外,它们不提供所需的灵活性。在本文中,我们为任意生成设计问题制定了一般方法,并提出了名为Gefest(编码结构的生成进化)的新颖框架。开发的方法基于三个一般原则:采样,估计和优化。这样可以确保方法调整特定生成设计问题的方法的自由度,因此可以构建最合适的方法。进行了一系列实验研究,以确认Gefest框架的有效性。它涉及合成和现实情况(沿海工程,微流体,热力学和油田计划)。 Gefest的柔性结构使得获得超过基线溶液的结果。
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本文提出了一种名为Duck Sharm算法(DSA)的群体智能的优化算法。该算法通过寻找鸭子群的食物来源和觅食行为的启发。通过使用十八个基准函数来验证DSA的性能,其中统计(最佳,平均值,标准偏差和平均运行时间)结果与粒子群优化(PSO),Firefly算法(FA ),鸡肉群优化(CSO),灰狼优化器(GWO),正弦余弦算法(SCA)和海洋捕食者算法(MPA)和ArchImedes优化算法(AOA)。此外,使用比较结果的Wilcoxon Rank-Sum测试,Friedman测试和收敛曲线来证明DSA对其他算法的优越性。结果表明,DSA是在收敛速度和勘探开发平衡方面是求解高维优化功能的高性能优化方法。此外,DSA应用于两个约束工程问题的最佳设计(三条桁架问题,以及锯木厂运行问题)。此外,还用于分析所提出的DSA的性能的四个工程约束问题。总体而言,比较结果表明,DSA是一种有前途和非常竞争力的算法,用于解决不同的优化问题。
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Quantum退火是求解优化问题的启发式,这些问题由于D波系统的成功而言,已经看到了最近使用的浪涌。本文旨在找到一种解决电动车充电器放置(EVCP)问题的良好启发式,这是一个问题,这是一个非常重要的问题,但由于建立电动汽车(EV)充电器以及电动汽车的预期浪涌世界。同样的问题陈述也可以推广到网格中的任何实体的最佳位置,可以探索进一步用途。最后,作者介绍了一种新的启发式组合Quantum退火和遗传算法来解决问题。所提出的混合方法需要将遗传算法播种与量子退换器的结果。我们的实验表明,与我们样本EVCP数据集上的香草Quantum退火相比,该方法将该方法降低42.89%的距离。
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事物互联网(物联网)是一个由嵌入式传感器和服务网络为特征的范例。结合了这些传感器以收集各种信息,跟踪物理条件,例如废物箱状态,并使用不同的集中平台交换数据。对这种传感器的需求正在增加;然而,技术的扩散具有各种挑战。例如,如何使用IoT及其相关数据来增强废物管理?在智能城市,有效的废物管理系统至关重要。人工智能(AI)和启用IOT的方法可以赋予城市管理废物收集。这项工作提出了一种在给定空间约束的支持物联网的废物管理系统中提供推荐的智能方法。它基于基于AI的方法进行彻底的分析,并比较它们的相应结果。我们的解决方案基于多级决策过程,其中考虑到箱子状态和坐标以解决路由问题。这种基于AI的模型可以帮助工程师设计可持续的基础设施系统。
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在时间序列预测的各种软计算方法中,模糊认知地图(FCM)已经显示出显着的结果作为模拟和分析复杂系统动态的工具。 FCM具有与经常性神经网络的相似之处,可以被分类为神经模糊方法。换句话说,FCMS是模糊逻辑,神经网络和专家系统方面的混合,它作为模拟和研究复杂系统的动态行为的强大工具。最有趣的特征是知识解释性,动态特征和学习能力。本调查纸的目标主要是在文献中提出的最相关和最近的基于FCCM的时间序列预测模型概述。此外,本文认为介绍FCM模型和学习方法的基础。此外,该调查提供了一些旨在提高FCM的能力的一些想法,以便在处理非稳定性数据和可扩展性问题等现实实验中涵盖一些挑战。此外,具有快速学习算法的FCMS是该领域的主要问题之一。
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This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems, state-of-the-art algorithms rely on handcrafted heuristics for making decisions that are otherwise too expensive to compute or mathematically not well defined. Thus, machine learning looks like a natural candidate to make such decisions in a more principled and optimized way. We advocate for pushing further the integration of machine learning and combinatorial optimization and detail a methodology to do so. A main point of the paper is seeing generic optimization problems as data points and inquiring what is the relevant distribution of problems to use for learning on a given task.
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Machine learning frameworks such as Genetic Programming (GP) and Reinforcement Learning (RL) are gaining popularity in flow control. This work presents a comparative analysis of the two, bench-marking some of their most representative algorithms against global optimization techniques such as Bayesian Optimization (BO) and Lipschitz global optimization (LIPO). First, we review the general framework of the model-free control problem, bringing together all methods as black-box optimization problems. Then, we test the control algorithms on three test cases. These are (1) the stabilization of a nonlinear dynamical system featuring frequency cross-talk, (2) the wave cancellation from a Burgers' flow and (3) the drag reduction in a cylinder wake flow. We present a comprehensive comparison to illustrate their differences in exploration versus exploitation and their balance between `model capacity' in the control law definition versus `required complexity'. We believe that such a comparison paves the way toward the hybridization of the various methods, and we offer some perspective on their future development in the literature on flow control problems.
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4月20日至22日,在马德里(西班牙)举行的EVO* 2022会议上提交了末期摘要。这些论文介绍了正在进行的研究和初步结果,这些结果研究了对不同问题的不同方法(主要是进化计算)的应用,其中大多数是现实世界中的方法。
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