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This book constitutes the refereed proceedings of the 15th International Conference on Optimization and Applications, OPTIMA 2024, held in Petrovac, Montenegro, during September 16-20, 2024.
The 24 full papers presented in this volume were carefully reviewed and selected from 60 submissions. They are grouped into the following topics: Mathematical Programming; Global Optimization; Optimal Control; Game Theory and Mathematical Economics; Optimization in Economics and Finance; and Applications.
List of contents
Mathematical Programming.- Hybrid Method for Linear ProgrammingHybrid Method for Linear Programming.- An Equilibrium Dynamic Traffic Assignment Model with Linear Programming Formulation.- Singular optimization problems and p-factor approach for their analysis.- On the Application of Composite Penalty Functions Obtained by "Gluing" of External Penalties with Barrier Ones in Linear Programming.- Nesterov's Method of Dichotomy via Order Oracle: The Problem of Optimizing a Two-Variable Function on a Square.- Piecewise Linear Approximations in the Balanced Identification of Models with Differential Equations.- Extragradient Sliding for Composite Non-Monotone Variational Inequalities.- Global Optimization.- A Three-Stage Numerical Approach to the Study of Extra-Large Atomic-Molecular Clusters.- Comparative Efficiency of Machine Learning Models for Enhancing Algorithms in Solving Multiextremal Multicriteria Problems.- Automated Multi-Criteria Optimization of Parallel Robots.- Optimal Selection of Feedback Coefficients in the Problem of Stabilizing a Chain of Three Integrators.- Optimal Control.- On Some Sufficient Condition for Quadraticity of a Degenerate Optimization Problem with Inequality Constraints.- A Maximum Principle for a State-Constrained Optimal Control Problem Whose Data Is Measurable in the Time-variable.- Game Theory and Mathematical Economics.- Nash and Stackelberg Equilibria in Differential Games with Functionals in the Form of the Minimum Antagonistic and Partial Criteria.- A Model of Investment Policy of Firms.- Optimization in Economics and Finance.- The Ramsey's Conjecture for the Model with Non-Liquid Capital.- A Nonlinear Input-Output-Based Model for Medium-Term Macroeconomic Risks Analysis for a Restructuring Economy with Limited Capacities.- Optimal Timing of Investment and Debt Payment in Production Expansion with the Use of External Financing.- Identification of an Endogenous Production Function for the U.S. Economy.- An Ecological and Economic Model of Carbon Neutrality.- Applications.- Optimal Control Problem in Treatment Strategies for Breast Tumors.- The Use of Both Temperature Field and Heat Fluxes to Identify the Thermal Conductivity and Volumetric Heat Capacity.- Maximising the Discounted Accumulated Income in the Model with Two Gas Fields.- Modeling and Optimization of Controlled Conveyor Systems Using Intelligent Controllers.
