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The optimization framework consisted of a model generator, a direct solver, and a numerical optimizer.
The molecular weight moments of different polymer species in the prepolymer mixture are estimated by performing the dynamic simulations of a melt prepolymerization process model in conjunction with a numerical optimizer.
The procedure is based on the use of a standard numerical optimizer which employs structural, aeroelastic, and aerodynamic analyzers (a finite-element analyzer for structures, panel method analyzer for aerodynamics, and a longitudinal trim analyzer for flight mechanics) in the MDO process.
The analyses were run in MPLUS (Muthén and Muthén 2006), a numerical optimizer often used in behavior genetics.
For this reason and because an iterative numerical optimizer will in general only reach a local minimum of this non-convex objective function, a technique such as multi-resolution optimization is required [ 20, 21].
Mx is a matrix algebra interpreter and numerical optimizer for statistical modeling, allowing simultaneous modeling of both fixed effects on the mean (e.g. from age, sex, and smoking status) and random effects on variances and covariances (e.g., additive genetic, shared, and non-shared environmental sources of variance).
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We found that direct least-squares optimization of the thousands of variables π i s to fit the observed F ij, including Laplace priors to enforce sparsity, required hours even with state-of-the-art numerical optimizers.
A numerical optimization was carried out using response optimizer function in the Minitab software for simultaneous optimization and to determine the exact optimum levels of these variables (x 1, x 2, x 3 and x 4 ) leading to the desired equilibrium headspace concentration of soursop flavor compounds.
This paper outlines a method for optimizing the design of a lithium-ion battery pack for hybrid vehicle applications using a hybrid numerical optimization method that combines multiple individual optimizers.
In this work, a new family of geometries of reverse-flow cyclones was obtained through numerical optimization, using a stochastic random search global optimizer coupled with the PACyc model.
The second experiment aims to evaluate and compare the performance of SA-MFO with MFO and five well-known optimization algorithms: particle swarm optimization (PSO) [15], ant bee colony (ABC) [14], moth flame optimization (MFO) [24], multi verse optimization (MVO) [23], and ant lion optimizer (ALO) [22] in solving 23 numerical optimization problems using different statistical measurements.
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