Titlebook: Optimization and Applications; 12th International C Nicholas N. Olenev,Yuri G. Evtushenko,Vlasta Malko Conference proceedings 2021 Springer

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A Computational Study of the DC Minimization Global Optimality Conditions Applied to K-Means Cluster is the Euclidean minimum-sum-of-squares clustering problem (MSSC). Consequently, Lloyd’s algorithm, often referred to as .-means, is probably the most popular clustering algorithm. Despite its popularity, Lloyd’s algorithm is a local search heuristic for MSSC that in general converges to local opti

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MIP-Based Heuristics for a Robust Transfer Lines Balancing Problems Balancing Problem. It requires to form a set of blocks of tasks and assign them to machines so that the cycle time constraint is satisfied. The execution times of some tasks are supposed to be uncertain. Since this uncertainty has an impact on the feasibility of the solution because of existing co

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Optimal Control of Two Linear Programming Problemsints and one intermediate point, they correspond to the values of the trajectory. The left end of the trajectory is fixed. Finite-dimensional linear programming problems are associated with the intermediate and last moments of time, and the corresponding values of the phase trajectory should at the

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Existence of Bounded Soliton Solutions for a Finite Difference Analogue of the Wave Equation with a ral form is established. The proof is carried out within the framework of a formalism establishing a one-to-one correspondence between soliton solutions of an infinite-dimensional dynamical system and solutions of a family of functional differential equations of pointwise type. The key fact for the

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Optimizing Coefficients of a Controller in the Point Stabilization Problem for a Robot-Wheelntrol constraints are met by applying an advanced feedback law in the form of nested saturation functions. The selection of the feedback coefficients is discussed that optimizes the performance of the controller. An optimal controller is defined to be that that ensures the greatest convergence rate

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Algorithm for the Numerical Solution of Optimal Control Problems in Robotic Systemshod modification, which uses the combined one-dimensional nonlocal search algorithm developed by the authors based on the Strongin and parabolas methods as an auxiliary one. The developed algorithm is implemented in C language and integrated within a single software package. The obtained using the p