Particle Swarm Optimization—An Adaptation for the Control of Robotic Swarms by George Rossides, Benjamin Metcalfe, Alan Hunter

“…Particle Swarm Optimization (PSO) is a numerical optimization technique based on the motion of virtual particles within a multidimensional space. …”
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Study of Thermal Effect on The Weld Bead Geometry During Fusion Welding by Salah Sabeeh Abed-Alkareem

“…In order to reach the optimum bead width and penetration, numerical optimization is achieved for obtaining a better shape of the weld bead geometry. …”
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Krill herd algorithm with chaotic time interval and elitism scheme by Shuxia Li, Yuzhe Tian

“…We propose a new chaotic krill herd (CKH) in terms of the recently developed krill herd (KH) algorithm, to solve global numerical optimization problems. In CKH, chaos characteristics are introduced into the KH so as to further enhance its global search ability. …”
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Component-Based Detailed Modeling of a Small Wheeled Mobile Robot with Indispensable Nonlinearities by Kazuki Yoshida, Satoshi Satoh, Masami Saeki

“…Then, we derive the cornering resistance model by numerical optimization. Moreover, we develop a differential wheeled robot as an experimental test-bed, and demonstrate the validity of each component model and the whole robot model by comparing with the experimental behaviors of the test-bed.…”
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Hybrid-Flash Butterfly Optimization Algorithm with Logistic Mapping for Solving the Engineering Constrained Optimization Problems by Mengjian Zhang, Deguang Wang, Jing Yang

“…The performance of the proposed method was verified by twelve benchmark functions, where the comparison experiment results show that the HFBOA converges quicker and has better stability for numerical optimization problems, which are compared with six state-of-the-art optimization methods. …”
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A semi-analytical solution and AI-based reconstruction algorithms for magnetic particle tracking. by Huixuan Wu, Pan Du, Rohan Kokate, Jian-Xun Wang

“…The trajectory reconstruction usually relies on numerical optimization or filtering, which involve artificial parameters or thresholds. …”
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Distributed Localization of Non-Cooperative Targets in Non-Coplanar Rendezvous Processes by Zihan Zhen, Feng Yu

“…Subsequently, the rendezvous configuration optimization problem for long-range non-coplanar targets is transformed into a numerical optimization problem. Finally, an improved NSGA-III algorithm is proposed by introducing normal distribution crossover (NDX) and a cosine-like mutation distribution index to optimize the rendezvous configuration. …”
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Spider monkey optimization based resource allocation and scheduling in fog computing environment by Shahid Sultan Hajam, Shabir Ahmad Sofi

“…Spider monkey optimization (SMO) is a quite popular and recent swarm intelligence algorithm for numerical optimization. SMO is Fission-Fusion social structure based algorithm inspired by spider monkey’s behavior. …”
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Use of Box–Behnken design for optimization of compounded medication: acyclovir capsules report by Suelen da Silva Reis, Valdemir da Silva Quintanilha Junior, Gabriella da Silva Boto, Thalita Martins da Silva, Elizabeth Valverde Macedo, Carlos Augusto de Freitas Peregrino, Samanta Cardozo Mourão, Emeli Moura de Araújo

“…Magnesium stearate shows no influence on the dissolution at different concentrations but influences the assay results. A numerical optimization was applied to adjust the formulation variables based on the foresaid responses, accomplishing the best formulation that will be prepared and dispensed at FAU upon medical prescription. …”
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Model Predictive Control Tuning by Inverse Matching for a Wave Energy Converter by Hancheol Cho, Giorgio Bacelli, Ryan G. Coe

“…In addition to solutions based on numerical optimization, a simple analytical solution is also derived for cases with a short prediction horizon. …”
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Crossover Rate Sorting in Adaptive Differential Evolution by Vladimir Stanovov, Lev Kazakovtsev, Eugene Semenkin

“…Differential evolution (DE) is a popular and efficient heuristic numerical optimization algorithm that has found many applications in various fields. …”
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Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control by S. Li, H. Jiang, Z. Ren, C. Xu

“…With the feedforward trajectories generated by numerical optimization, we derive a linear system to describe the error evolution. …”
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Nonlinear Model Predictive Control with Terminal Cost for Autonomous Vehicles Trajectory Follow by Jinrui Nan, Xucheng Ye, Wanke Cao

“…The algorithm was implemented on CasADi numerical optimization framework, which is free, open-source and developed for nonlinear optimization. …”
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Numerical and Experimental Study on the Multiobjective Optimization of a Two-Disk Flexible Rotor System by Zheng Longxi, Jia Shengxi, Huang Jingjing

“…Using this strategy, the optimal positions of the two disks are obtained. The numerical optimization results are verified by the experiments based on the test rig. …”
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Optimization techniques for mortars with self-compacting characteristics through Central Composite Design by Stéphanie Oliveira Nina Rocha, Lino Maia

“…The input variable w/c was the most significant model. Numerical optimization solutions showed good accuracy and high compliance for low cost and environmental impact, maintaining high performance in fresh and hardened properties.…”
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Thermo‐mechanical modeling of the temperature dependent forming behavior of thermoplastic prepregs by Jean‐Paul Ziegs, Daniel Weck, Maik Gude, Markus Kästner

“…Abstract Numerical optimization of the manufacturing process of hybrid lightweight structures consisting of fiber‐reinforced plastics is of great importance. …”
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Use of Box–Behnken design for optimization of compounded medication: acyclovir capsules report by Suelen da Silva Reis, Valdemir da Silva Quintanilha Junior, Gabriella da Silva Boto, Thalita Martins da Silva, Elizabeth Valverde Macedo, Carlos Augusto de Freitas Peregrino, Samanta Cardozo Mourão, Emeli Moura de Araújo

“…Magnesium stearate shows no influence on the dissolution at different concentrations but influences the assay results. A numerical optimization was applied to adjust the formulation variables based on the foresaid responses, accomplishing the best formulation that will be prepared and dispensed at FAU upon medical prescription. …”
Get full text

Modeling and numerical analysis for mechanical characterization of soft tissue mechanism applying inverse finite element technique by Md. Mulk, Kazi Nusrat Islam, Md. Haider Ali Biswas

“…This article presents the development of inverse finite element (FE) techniques that are solved using numerical optimization to characterize the mechanical properties of PVA-C specimens. …”
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Optimized design of a low-resistance electrical conductor for the multimegahertz range by Kurs, Andre B., Kesler, Morris, Johnson, Steven G.

“…With the help of numerical optimization, it is possible to obtain electrical resistances significantly lower than those of a heavy-gauge copper wire or litz wire in the 2–20 MHz range. …”
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A controllable susceptibility marker for passive device tracking. by Dominguez-Viqueira, W, Karimi, H, Lam, W, Cunningham, C

“…METHODS: The magnetic susceptibilities of readily obtainable grades of titanium and graphite were measured. Using numerical optimization, layer thicknesses for three concentric cylinders were found where the field from the graphite layer maximally cancelled the fields from titanium layers. …”