This book constitutes the refereed proceedings of the 10th International Conference on Optimization and Applications, OPTIMA 2019, held in Petrovac, Montenegro, in September-October 2019.The 35 revised full papers presented were carefully reviewed and selected from 117 submissions.

Efficient Algorithms for the Routing Open Shop with Unrelated Travel Times on Cacti.- Local Strong Convexity in Hilbert Space.- Semidefinite Relaxation and Sign-Definiteness of Quadratic Forms on the Cone.- Distance-Constrained Line Routing Problem.- Synthesis, Analysis and Parameters Optimization Problems for Multidimensional Mathematical Models of Interconnected Populations Dynamics.- Lipschitz Continuity of the Optimal Solution of the Infimal Convolution Problem and Subdifferential Calculus.-  Polynomial-Time Solvability of One Optimization Problem Induced by Processing and Analyzing Quasiperiodic ECG and PPG Signals.- Equity-Linked Notes Portfolio Optimization.- On Optimization Problem Arising in Computer Simulation of Crystal Structures.- On the Complexity of Some Quadratic Euclidean Partition Problemsinto Balanced Clusters.- An Approximate Solution of a GNSS Satellite Selection Problem using Semidefinite Programming.- Dynamic Marketing Model: the Case of Piece-Wise Constant Pricing.- Preconditioned Subspace Descent Methods for the Solution of Nonlinear Systems of Equations.- Comparison of Direct and Indirect Approaches for Numerical Solution of the Optimal Control Problem by Evolutionary Methods.- On PTAS for the Geometric Maximum Connected k-Factor Problem.- Generalization of Controls Bimodality Property of the Optimal Exploitation Problem for Ecological Population with a Binary Structure.- On a Global Search in D.C. Optimization Problems.- P-regularity Theory and Nonlinear Optimization Problems.- Optimization of Kernel Estimators of Probability Densities.- Golden Rule Saving Rate for an Endogenous Production Function.- Computational Methods for the Smoothed Version of Stable Dynamic Model.- Dual Multiplicative-Barrier Methods for Linear Second-Order Cone Programming.- A Problem of Scheduling Operations at a Locomotive Maintenance Depot.- An Experimental Study ofUnivariate Global Optimization Algorithms for Finding the Shape Parameter in Radial Basis Functions.- Time-Optimal Control Problem with State Constraints in a Time-Periodic Flow Field.- The generalized ellipsoid method and its implementation.- Numerical method for solving the problem of optimal control by system ODE of a block structure.- A Graph-Theoretic Approach to Multiobjective Permutation-Based Optimization.- A Smoothing Lagrange Multiplier Method for Solving the Quasi-variational Signorini’s Inequality.- Polynomial Capacity Guarantees PTAS for the Euclidean Capacitated Vehicle Routing Problem Even for Non-uniform Non-splittable Demand.- New Version of Mirror Prox for Variational Inequalities with Adaptation to Inexactness.- Computational Experience and Challenges with the Dual Epi-Projection Algorithms for Non-Smooth Optimization.- A Criterion of Optimality of Some Parallelization Scheme for Backtrack Search Problem in Binary Trees.- Well Posedness of the Nearest Points Problem for Two Sets in Asymmetric Seminormed Spaces.- Two Optimization Problems for a Material Point Moving along a Straight Line in the Presence of Friction and Limitation on the Velocity.

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