Academic literature on the topic 'Nelder-Mead optimization algorithm'

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Journal articles on the topic "Nelder-Mead optimization algorithm"

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T. Nguyen, Son, Linh V. Trieu, Tu M. Pham, and Anh Hoang. "Improved Parameter Estimation of Three-Phase Squirrel-Cage Induction Motors Using the Nelder-Mead Simplex Algorithm." International journal of electrical and computer engineering systems 15, no. 8 (2024): 695–703. http://dx.doi.org/10.32985/ijeces.15.8.7.

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This work presents a technique for precisely determining the characteristics of a squirrel-cage three-phase induction motor using the Nelder-Mead simplex algorithm. This approach is a frequently employed numerical optimization technique for determining the minimal value of a multi-dimensional objective function. An advantageous feature of the Nelder-Mead simplex algorithm is its independence from the need to calculate partial derivatives of the objective function. Nevertheless, similar to several optimization techniques, the Nelder-Mead simplex approach can also exhibit sensitivity to the init
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Fajfar, Iztok, Janez Puhan, and Árpád Bűrmen. "Evolving a Nelder–Mead Algorithm for Optimization with Genetic Programming." Evolutionary Computation 25, no. 3 (2017): 351–73. http://dx.doi.org/10.1162/evco_a_00174.

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We used genetic programming to evolve a direct search optimization algorithm, similar to that of the standard downhill simplex optimization method proposed by Nelder and Mead ( 1965 ). In the training process, we used several ten-dimensional quadratic functions with randomly displaced parameters and different randomly generated starting simplices. The genetically obtained optimization algorithm showed overall better performance than the original Nelder–Mead method on a standard set of test functions. We observed that many parts of the genetically produced algorithm were seldom or never execute
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Benaouicha, Karim, Hamza Akroum, Abdelhakim Idir, and Yassine Bensafia. "Optimizing a FOPID controller for liquid level control in a three-tank system with the Nelder-Mead algorithm." STUDIES IN ENGINEERING AND EXACT SCIENCES 5, no. 2 (2024): e12198. https://doi.org/10.54021/seesv5n2-790.

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This paper proposes an optimization approach for a Fractional Order PID (FOPID) controller in a three-tank system using the Nelder-Mead algorithm. The FOPID controller is designed to control the liquid level in the three-tank system, and the Nelder-Mead algorithm is used to optimize the controller parameters for optimal control performance. The optimization problem is formulated to minimize the error between the desired and actual liquid levels, and the Nelder-Mead algorithm is used to search for the optimal values of the FOPID controller parameters. The results show that the optimized FOPID c
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Bilal, Muhammad, Shakoor Muhammad, Nekmat Ullah, Fazal Hanan та Subahan Ullah. "Optimum solutions of partial differential equation with initial condition using optimization techniques". VFAST Transactions on Mathematics 10, № 2 (2022): 118–36. http://dx.doi.org/10.21015/vtm.v10i2.1170.

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This paper proposes a new minimization technique for the solutions of partial differential equation with initial conditions. The proposed procedure is used to minimize the obtained solutions through any numerical technique. Forthe minimization process, Non-linear Nelder-Mead Simplex algorithm and genetic algorithm are used as optimization techniques. The designed partial differential equation has been calculated as an error function for the minimization process. Both Non-linear Nelder-Mead Simplex and genetic algorithm guarantees the minimization of nonlinear partial differential equation with in
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Lewis, Andrew, David Abramson, and Tom Peachey. "RSCS: A Parallel Simplex Algorithm for the Nimrod/O Optimization Toolset." Scientific Programming 14, no. 1 (2006): 1–11. http://dx.doi.org/10.1155/2006/906394.

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This paper describes a method of parallelisation of the popular Nelder-Mead simplex optimization algorithms that can lead to enhanced performance on parallel and distributed computing resources. A reducing set of simplex vertices are used to derive search directions generally closely aligned with the local gradient. When tested on a range of problems drawn from real-world applications in science and engineering, this reducing set concurrent simplex (RSCS) variant of the Nelder-Mead algorithm compared favourably with the original algorithm, and also with the inherently parallel multidirectional
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Selvam, Manjula, M. Ramachandran, and Vimala Saravanan. "Nelder–Mead Simplex Search Method - A Study." Data Analytics and Artificial Intelligence 2, no. 2 (2022): 117–22. http://dx.doi.org/10.46632/daai/2/2/7.

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Nelder-Mead in n dimensions facilitates the set of n + 1 test points. It finds a new test point, Makes one of the old test points new, and so the technique progresses into objective behavior process is measured at each test point. The Nelder-Mead Simplex system uses Simplex to find the minimum space. The algorithm operates using a design framework with n + 1 points (called simplex), Where n is for simplex based operation Number of input dimensions. The Nelder-Mead method is one of the most popular non-derivative methods, using only the values of f to search. Only in the simplex formation of n
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Boukhari, Noureddine, Fatima Debbat, Nicolas Monmarché, and Mohamed Slimane. "An Efficient Hybrid Evolution Strategy Algorithm with Direct Search Method for Global Optimization." International Journal of Organizational and Collective Intelligence 9, no. 3 (2019): 63–78. http://dx.doi.org/10.4018/ijoci.2019070104.

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The main purpose of this article is to demonstrate how evolution strategy optimizers can be improved by incorporating an efficient hybridization scheme with restart strategy in order to jump out of local solution regions. The authors propose a hybrid (μ, λ)ES-NM algorithm based on the Nelder-Mead (NM) simplex search method and evolution strategy algorithm (ES) for unconstrained optimization. At first, a modified NM, called Adaptive Nelder-Mead (ANM) is used that exhibits better properties than standard NM and self-adaptive evolution strategy algorithm is applied for better performance, in addi
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Pošík, Petr, and Waltraud Huyer. "Restarted Local Search Algorithms for Continuous Black Box Optimization." Evolutionary Computation 20, no. 4 (2012): 575–607. http://dx.doi.org/10.1162/evco_a_00087.

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Several local search algorithms for real-valued domains (axis parallel line search, Nelder-Mead simplex search, Rosenbrock's algorithm, quasi-Newton method, NEWUOA, and VXQR) are described and thoroughly compared in this article, embedding them in a multi-start method. Their comparison aims (1) to help the researchers from the evolutionary community to choose the right opponent for their algorithm (to choose an opponent that would constitute a hard-to-beat baseline algorithm), (2) to describe individual features of these algorithms and show how they influence the algorithm on different problem
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Panagant, Natee, Mustafa Yıldız, Nantiwat Pholdee, Ali Rıza Yıldız, Sujin Bureerat, and Sadiq M. Sait. "A novel hybrid marine predators-Nelder-Mead optimization algorithm for the optimal design of engineering problems." Materials Testing 63, no. 5 (2021): 453–57. http://dx.doi.org/10.1515/mt-2020-0077.

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Abstract The marine predators optimization algorithm (MPA) is a recently developed nature-inspired algorithm. In this paper, the Nelder-Mead algorithm is utilized to improve the local exploitation powers of the MPA when described as a hybrid marine predators and Nelder-Mead (HMPANM). Due to the harsh competitive conditions as well as the transition to new vehicles such as hybrid and full-electrical cars, the interest in the design of light and low-cost vehicles is increasing. In this study, a recent metaheuristic addition, a hybrid marine predators optimization algorithm, is used to solve a st
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Li, Wei, Haonan Luo, Lei Wang, Qiaoyong Jiang, and Qingzheng Xu. "Enhanced Brain Storm Optimization Algorithm Based on Modified Nelder–Mead and Elite Learning Mechanism." Mathematics 10, no. 8 (2022): 1303. http://dx.doi.org/10.3390/math10081303.

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Brain storm optimization algorithm (BSO) is a popular swarm intelligence algorithm. A significant part of BSO is to divide the population into different clusters with the clustering strategy, and the blind disturbance operator is used to generate offspring. However, this mechanism is easy to lead to premature convergence due to lacking effective direction information. In this paper, an enhanced BSO algorithm based on modified Nelder–Mead and elite learning mechanism (BSONME) is proposed to improve the performance of BSO. In the proposed BSONEM algorithm, the modified Nelder–Mead method is used
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Dissertations / Theses on the topic "Nelder-Mead optimization algorithm"

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Vugrin, Kay Ellen White. "On the Effects of Noise on Parameter Identification Optimization Problems." Diss., Virginia Tech, 2005. http://hdl.handle.net/10919/27515.

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The calibration of model parameters is an important step in model development. Commonly, system output is measured, and model parameters are iteratively varied until the model output is a good match to the measured system output. Optimization algorithms are often used to identify the model parameter values. The presence of noise is difficult to avoid when physical processes are used to calibrate models due to measurement error, model structure error, and errors arising from numerical techniques and approximate solutions. Our study focuses on the effects of noise in parameter identification
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Nascimento, Luiz Sérgio Vasconcelos do. "Estudo da operação otimizada aplicada a um sistema de reservatórios destinado à geração de energia elétrica." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18138/tde-25062006-130848/.

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Uma das aplicações mais importantes da análise de sistemas no planejamento de recursos hídricos diz respeito à determinação de estratégias operacionais de sistemas de múltiplos reservatórios, elementos indispensáveis aos aproveitamentos hídricos, cuja operação é alvo de análises que podem envolver muitas restrições e variáveis de decisão. Fica evidenciada, portanto, a necessidade de a operação destes ser otimizada, propiciando assim, o seu melhor aproveitamento, com o menor custo para a sociedade. A presente pesquisa estuda a operação otimizada de um sistema de reservatórios destinado a geraçã
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Póvoa, Caio José Fernandes. "Estratégias de otimização de trajetos e alocação de torres em projetos de linhas de transmissão aéreas." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8294.

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Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-04-04T11:42:16Z No. of bitstreams: 2 Dissertação - Caio José Fernandes Póvoa - 2018.pdf: 6079271 bytes, checksum: 5efa21665d3c5f3bf6b4a58652fff6b4 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-04-04T13:23:10Z (GMT) No. of bitstreams: 2 Dissertação - Caio José Fernandes Póvoa - 2018.pdf: 6079271 bytes, checksum: 5efa21665d3c5f3bf6b4a58652fff6b4 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<
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Bortolot, Zachary Jared. "An Adaptive Computer Vision Technique for Estimating the Biomass and Density of Loblolly Pine Plantations using Digital Orthophotography and LiDAR Imagery." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/27454.

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Forests have been proposed as a means of reducing atmospheric carbon dioxide levels due to their ability to store carbon as biomass. To quantify the amount of atmospheric carbon sequestered by forests, biomass and density estimates are often needed. This study develops, implements, and tests an individual tree-based algorithm for obtaining forest density and biomass using orthophotographs and small footprint LiDAR imagery. It was designed to work with a range of forests and image types without modification, which is accomplished by using generic properties of trees found in many types of im
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WOODS, DANIEL JOHN. "AN INTERACTIVE APPROACH FOR SOLVING MULTI-OBJECTIVE OPTIMIZATION PROBLEMS (INTERACTIVE COMPUTER, NELDER-MEAD SIMPLEX ALGORITHM, GRAPHICS)." Thesis, 1985. http://hdl.handle.net/1911/15945.

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Multi-objective optimization problems are characterized by the need to consider multiple, and possibly conflicting, objectives in the solution process. We present an approach based on the use of interactive computer graphics to obtain qualitative information from a user about approximate solutions. We then use this qualitative information to transform the multi-objective optimization problem into a single-objective optimization problem that we may solve using standard techniques. Preliminary convergence results for the Nelder-Mead simplex algorithm are presented. Techniques for updating the si
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Book chapters on the topic "Nelder-Mead optimization algorithm"

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Moraglio, Alberto, and Colin G. Johnson. "Geometric Generalization of the Nelder-Mead Algorithm." In Evolutionary Computation in Combinatorial Optimization. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12139-5_17.

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Reddy, Annem Abhishek, Maheedhar Vundela, and G. Manju. "Portfolio Optimization Using Genetic Algorithms with Nelder–Mead Algorithm." In Proceedings of 6th International Conference on Recent Trends in Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4501-0_19.

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Singh, Dipti, and Seema Agrawal. "Self Organizing Migrating Algorithm with Nelder Mead Crossover and Log-Logistic Mutation for Large Scale Optimization." In Adaptation, Learning, and Optimization. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16598-1_6.

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Moravec, Prokop, and Pavel Rudolf. "Combination of a Particle Swarm Optimization and Nelder–Mead Algorithm in a Diffuser Shape Optimization." In Advances in Hydroinformatics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7218-5_70.

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Li, Xinyu, Dalin Zhang, Xingguang Zhou, Wenxi Tian, and Suizheng Qiu. "Structure Design and Optimization of the Mass Flow Distribution Device of Downcomer for Fluoride-Salt-Cooled High-Temperature Advanced Reactor – FuSTAR." In Springer Proceedings in Physics. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-1023-6_6.

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AbstractThe new generation of water-free cooling reactors: the FuSTAR system (Fluoride-Salt-cooled high-Temperature Advanced Reactor), mainly proposed by Xi’an Jiaotong University, is at the design stage. So far, the overall parameters of the heat transport system of FuSTAR have been obtained, and there is a pressing need to design and optimize the mass flow distribution device of Downcomer. In this paper, to obtain the specific parameters of structure matching the design values of mass flow rate, the finite element analysis was adopted, combined with the Nelder-Mead algorithm in the nonlinear programming. The results show that the mass flow distribution device with a multiple-port plate structure can achieve the purpose of the values of mass flow rate. Moreover, the mass flow rate is not so sensitive to the geometric parameters of these structures, which means more engineering margin. Based on this research, the detailed structural parameters and physical information about the distribution device were obtained, and the data from numerical tests can be used to build the proxy models to speed up transient analysis programs of FuSTAR.
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Zitouni, Farouq, and Saad Harous. "An enhanced whale optimization algorithm using the Nelder-Mead algorithm and logistic chaotic map." In Handbook of Whale Optimization Algorithm. Elsevier, 2024. http://dx.doi.org/10.1016/b978-0-32-395365-8.00015-4.

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Subbotin, Alexandr, and Thomas Bartz-Beielstein. "Simulation Model Calibration for Condition Monitoring." In Proceedings - 33. Workshop Computational Intelligence: Berlin, 23.-24. November 2023. KIT Scientific Publishing, 2023. http://dx.doi.org/10.58895/ksp/1000162754-11.

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Condition monitoring is a key component of condition-based and predictive maintenance solutions and has applications in a wide range of industries. However, extracting long-term asset condition information from process data is not a trivial process. The objective of this paper is to present the first steps in developing a condition monitoring solution using a hybrid modeling approach. The paper provides an introduction to condition monitoring and hybrid modeling and focuses on the problem of calibration of first principles based simulation. Several possible approaches to model the calibration coefficients that vary during the process simulation were considered. Our results show that the developed piecewise constant approach, together with the tuned version of the Nelder-Mead optimization algorithm, allows to accelerate the calibration process without sacrificing the simulation error.
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Machado, Guilherme, Marcelo Castier, Monique dos Santos, et al. "Reactive Distillation Applied to Biodiesel Production by Esterification: Simulation Studies." In Distillation Processes - From Conventional to Reactive Distillation Modeling, Simulation and Optimization [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.102667.

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Reactive distillation is an operation that combines chemical reaction and separation in a single equipment, presenting various technical and economic benefits. In this chapter, an introduction to the reactive distillation process applied to the biodiesel industry was developed and complemented by case studies regarding the production of biodiesel through esterification a low-cost acid feedstock (corn distillers oil) and valorization of by-products (glycerol) through ketalization. The kinetic parameters of both reactions were estimated with an algorithm that performs the minimization of the quadratic differences between experimental and calculated data through a Nelder-Mead simplex method. A 4th order Runge Kutta method was employed to integrate the conversion or concentration equations used to describe the kinetics of the reactions in a batch reactor. Both processes were simulated in the commercial software Aspen Plus with the estimated kinetic parameters. The results obtained are promising and indicate that the productivity of both processes can be improved with the application of reactive distillation technologies. The simulated esterification process with an optimized column resulted in a fatty acids conversion increase of 84% in comparison to the values lower than 50% obtained in the experimental tests. Solketal production through ketalization also achieved a high glycerol conversion superior to 98%.
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Conference papers on the topic "Nelder-Mead optimization algorithm"

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Anjum, Ishraq Md, Davorin Peceli, Francesco Capuano, and Bedrich Rus. "High-Power Laser Pulse Shape Optimization with Hybrid Stochastic Optimization Algorithms." In Frontiers in Optics. Optica Publishing Group, 2024. https://doi.org/10.1364/fio.2024.jd4a.55.

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We evaluate five optimization algorithms for laser pulse temporal shape optimization, using a semi-physical model of a high-power laser. Hybrid algorithms combine Differential Evolution and Bayesian optimization algorithm exploration with Nelder-Mead exploitation, exhibiting superior performance.
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Li, Chenxi, Hao Li, Xinzhe Li, Jiayi Liu, and Zhenhao Yu. "PSTSA: A Phase-Driven Exploration and Multi-Strategy Nelder-Mead Enhanced Tree Species Optimization Algorithm." In 2024 6th International Conference on Frontier Technologies of Information and Computer (ICFTIC). IEEE, 2024. https://doi.org/10.1109/icftic64248.2024.10913150.

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Yang, Chenguang, Lei Zhao, Zhige Xie, and Aizhi Liu. "Convergence Analysis and a Multi-Objective Optimization Algorithm for Bee Colonies Utilizing the Nelder-Mead Method." In 2024 International Conference on Advances in Electrical Engineering and Computer Applications (AEECA). IEEE, 2024. https://doi.org/10.1109/aeeca62331.2024.00081.

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Li, Zhiyu, and Yi Zhan. "A revised stochastic nelder-mead algorithm for numerical optimization." In 2014 4th IEEE International Conference on Information Science and Technology (ICIST). IEEE, 2014. http://dx.doi.org/10.1109/icist.2014.6920603.

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Qi Wang, Yuanbo Wang, Bibo Rao, and Ying Li. "Study on serial collaborative optimization algorithm based on Nelder-Mead algorithm." In 2011 Second International Conference on Mechanic Automation and Control Engineering (MACE). IEEE, 2011. http://dx.doi.org/10.1109/mace.2011.5987996.

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Dennis, Jr., J. E., and Virginia Torczon. "Parallel Implementations Of The Nelder-Mead Simplex Algorithm For Unconstrained Optimization." In 1988 Los Angeles Symposium--O-E/LASE '88, edited by David P. Casasent. SPIE, 1988. http://dx.doi.org/10.1117/12.944050.

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Lin, Hongwei. "Hybridizing Differential Evolution and Nelder-Mead Simplex Algorithm for Global Optimization." In 2016 12th International Conference on Computational Intelligence and Security (CIS). IEEE, 2016. http://dx.doi.org/10.1109/cis.2016.0054.

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Nassef, Ashraf O., Hesham A. Hegazi, and Sayed M. Metwalli. "A Hybrid Genetic-Direct Search Algorithm for the Shape Optimization of Solid C-Frame Cross-Sections." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14295.

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Abstract The hybridization of different optimization methods have been used to find the optimum solution of design problems. While random search techniques, such as genetic algorithms and simulated annealing, have a high probability of achieving global optimality, they usually arrive at a near optimal solution due to their random nature. On the other hand direct search methods are efficient optimization techniques but linger in local minima if the objective function is multi-modal. This paper presents the optimization of C-frame cross-section using a hybrid optimization algorithm. Real coded g
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Hegazi, Hesham A., Ashraf O. Nassef, and Sayed M. Metwalli. "Shape Optimization of NURBS Modeled 3D C-Frames Using Hybrid Genetic Algorithm." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34107.

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The present paper introduces a new methodology for designing machine element shapes. The element is represented using non-uniform rational B-Spline (NURBS) in order to give it a form of shape flexibility. A special form of genetic algorithms known as real-coded genetic algorithms is used to conduct the search for the design objectives. Shape optimization of 3D C-frames are used as an application of the proposed methodology. The design parameters of these frames include the dimensions of their cross-sections, which should be chosen to withstand the applied loads and minimize the element’s overa
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Zhong, Yi, Yaping Zhang, Kaisheng Liao, and Zhenghong Zhang. "A hybrid pigeon inspired optimization algorithm based on Nelder-Mead simplex operations." In 2020 39th Chinese Control Conference (CCC). IEEE, 2020. http://dx.doi.org/10.23919/ccc50068.2020.9189576.

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Reports on the topic "Nelder-Mead optimization algorithm"

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Dennis, Jr, Woods J. E., and Daniel J. Optimization on Microcomputers: The Nelder-Mead Simplex Algorithm. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada453814.

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