By using appropriate methods of variational analysis, the necessary conditions optimality are established for new classes constrained optimization problems involving multiple and curvilinear integral functionals. Additionally, two illustrative examples provided to support main results formulated in this paper.

This paper presents a general modeling framework for restricted facility location problems with arbitrarily shaped forbidden regions or barriers, where regions are modeled using phi-objects. Phi-objects are an efficient tool in mathematical modeling of 2D and 3D geometric optimization problems, and are widely used in cutting and packing problems and covering problems. The paper shows that the p...

Several approximation algorithms with proven performance guarantees have been proposed to find approximate solutions to classical combinatorial optimization problems. However, theoretical results may not reflect the experimental performance of the proposed algorithms. As a consequence, a question arises: how “far” from the theoretically proved performance are the experimental results?We conduct...

The paper analyses different techniques that might be employed in order to solve various problems of combinatorial optimization and argues that the best results can be achieved by the use of software, running on a general-purpose computer, together with an FPGAbased reconfigurable co-processor. It suggests architecture of combinatorial co-processor, which is based on hardware templates and cons...