Optimization Problems with Averaging over the Variables by Anatoly M. Tsirlin

“…The problems of nonlinear programming, criteria and limitations depend on the variables averaged. …”
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Averaging of Linear Quadratic Parabolic Optimal Control Problem by Olena Kapustian, Oleksandr Laptiev, Adalbert Makarovych

“…This paper studies an averaged Linear Quadratic Regulator (LQR) problem for a parabolic partial differential equation (PDE), where the system dynamics are affected by uncertain parameters. …”
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Averaging method in optimal control problems for integro-differential equations by Lakhva Roksolana, Uteshova Roza, Stanzhytskyi Oleksandr, Mogylova Viktoria

“…The averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter. …”
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Solving Multi-Objective Complementary Programming Problem (MOCPP) by using Optimal Average by Najmaddin Sulaiman, Abdul-Qader Hamadamin

“…In this paper, we suggested an approach to solve Multi-Objective Complementary Programming Problem (MOCPP) by using optimal average (O_AV). …”
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Stochastic Optimal Control of Averaged SDDE with Semi-Markov Switching and with Application in Economics by Mariya Svishchuk, Anatoliy V. Swishchuk

“…This paper is devoted to the study of stochastic optimal control of averaged stochastic differential delay equations (SDDEs) with semi-Markov switchings and their applications in economics. …”
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Asymptotic analysis of optimal control problems on the semiaxes for Carathéodory differential inclusions with fast oscillating coefficients by Sergey Dashkovskiy, Oleksiy Kapustyan, Olena Kapustian, Tetyana Zhuk

“…We prove that, when the small parameter converges to zero, the solution to this problem tends to some solution of the optimal control problem with averaged coefficients, where the averaging we understand in the sense of the Kuratowski upper limit. …”
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Averaged Control Problems Governed by a Semilinear Distributed Systems by Rabie Zine, Hamed Ould Sidi, Younes Louartassi, Maawiya Ould Sidi

“…In this work, we consider the regional averaged controllability (RAC) problem governed by a class of semilinear hyperbolic systems. …”
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Finite-Time Thermodynamics: Problems, Approaches, and Results by Anatoly M. Tsirlin, Alexander I. Balunov, Ivan A. Sukin

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Optimized Predictive Coverage by Averaging Time‐Windowed Bayesian Distributions by Han‐Fang Hsueh, Anneli Guthke, Thomas Wöhling, Wolfgang Nowak

“…With an imperfect model, we may obtain a too‐narrow‐for‐its‐bias uncertainty interval when conditioning on a long time‐series of calibration data, because the assumption of a quasi‐true model becomes too strict. To overcome the problem of overconfident posteriors, we propose a non‐parametric Bayesian method, called Tau‐averaging method: it applies Bayesian analysis on sliding time windows along the data time series for calibration. …”
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Dynamic Multiobjective Optimization Algorithm Based on Average Distance Linear Prediction Model by Zhiyong Li, Hengyong Chen, Zhaoxin Xie, Chao Chen, Ahmed Sallam

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Optimization of Injection-Molding Process Parameters for Weight Control: Converting Optimization Problem to Classification Problem by Peng Zhao, Zhengyang Dong, Jianfeng Zhang, Yi Zhang, Mingyi Cao, Zhou Zhu, Hongwei Zhou, Jianzhong Fu

“…This study proposed a new optimization strategy for the injection-molding process in which the parameter optimization problem is converted to a weight classification problem. …”
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On the Pareto Compliance of the Averaged Hausdorff Distance as a Performance Indicator by Andrés Vargas

“…The averaged Hausdorff distance ∆p is an inframetric, recently introduced in evolutionary multiobjective optimization (EMO) as a tool to measure the optimality of finite size approximations to the Pareto front associated to a multiobjective optimization problem (MOP). …”
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Enhancing Machine Learning Models Through PCA, SMOTE-ENN, and Stochastic Weighted Averaging by Youngjin Han, Inwhee Joe

“…The combination of PCA-based dimensionality reduction, hyperparameter tuning, and resampling techniques (<i>ENN</i> + SMOTE) ensured the model handled data imbalance and optimized predictive accuracy. The final model demonstrated excellent performance, with Area Under the Curve (AUC) and Average Precision (AP) values both reaching 0.98, indicating high accuracy and precision. …”
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Optimal surveillance against foot-and-mouth disease: A sample average approximation approach. by Tom Kompas, Pham Van Ha, Hoa-Thi-Minh Nguyen, Graeme Garner, Sharon Roche, Iain East

“…We apply the Sample Average Approximation approach to solve our problem, and to control model dimension, we propose the use of an infection tree model, in combination with sensible 'tree-pruning' and parallel processing techniques. …”
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Fault diagnosis of HVCB via the subtraction average based optimizer algorithm optimized multi channel CNN-SABO-SVM network by Qingjun Song, Jiuxin Wang, Qinghui Song, Kai Li, Wenchao Hao, Haiyan Jiang

“…Abstract The mechanical fault diagnosis of HVCB is important to ensure the stability of electric power systems. Aiming at the problem of poor diagnostic performance of deep learning methods under limited samples, this paper proposes an HVCB operating mechanism fault diagnosis model (multi-channel CNN-SABO-SVM, MCCSS) based on multimodal data fusion features and Subtraction-Average-Based Optimizer (SABO). …”
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Comparative study between local and average constitutive models for reinforced concrete panels by Beatriz da Costa Fernandes, Jordlly Reydson de Barros Silva, Bernardo Horowitz, Luís Filipe Almeida Bernardo

“…It is discussed the advantage of using local models in problems where the reinforcement maximum stress is of interest, such as fatigue problems and crack opening calculation. …”
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Dynamic multicriteria optimization for the nurse scheduling problem by Luis Fernando Moreno-Velásquez, F. Javier Díaz-Serna, Daniel Morillo-Torre

“… This document addresses the Nurse Scheduling Problem (NSP) and presents a dynamic multi-criteria optimization model for its solution considering a predefined time horizon. …”
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Advancing truss structure optimization—A multi-objective weighted average algorithm with enhanced convergence and diversity by Divya Adalja, Kanak Kalita, Lenka Čepová, Pinank Patel, Nikunj Mashru, Pradeep Jangir, Arpita

“…The challenge of achieving equilibrium between exploration and exploitation stands as a critical barrier in multi-objective metaheuristic optimization when applied to complex engineering problems such as truss structure design. …”
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Dual-functional radar-communication waveform trade-off optimal design with peak average power ratio constraint by Yuefeng HOU, Xiao ZHAO, Jianing LIU, Rongkang ZHOU, Wenbo WANG, Feng TIAN

“…Based on the same hardware platform, spectrum resources, and transmit waveforms, dual-function radar-communication (DFRC) can achieve radar and communication functions at the same time, which provides a strong support for realizing integrated sensing and communication (ISAC).Aiming at the dual-function radar communication system, radar and communication waveform trade off optimal design was studied, and a non-convex optimization problem was constructed with quadratic equality and inequality constraints under the constraints of transmission energy consumption and peak-to-average ratio (PAPR).The nonlinear equality constrained alternative direction method of multipliers was used to decompose the non-convex optimization problem into three sub-problems.The simulation results show that the optimized dual-function radar communication waveform can approach the ideal radar waveform and realize the optimal performance tradeoff between radar and communication.…”
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Enhanced aquila optimizer for global optimization and data clustering by Laith Abualigah, Saleh Ali Alomari, Mohammad H. Almomani, Raed Abu Zitar, Hazem Migdady, Kashif Saleem, Aseel Smerat, Vaclav Snasel, Amir H. Gandomi

“…In particular, LOBLAO achieved the best average ranking of 1.625 across multiple clustering problems, underscoring its robustness and versatility. …”
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