Sentence examples for of the studied problem from inspiring English sources

We obtain exact conditions for solvability of the studied problem.

We begin with a short historical summary of the studied problem.

Then, we give a negative result about the approximability of the studied problem.

Extensive simulation results show the effectiveness of the proposed parameters in meeting the objective and the constraints of the studied problem.

Finally, since such network design problems belong to the class of NP-hard problems, a novel heuristic solution method is developed based on a new solution representation method derived from graph theoretic view to the structure of the studied problem.

It is very well known that the validity of the method of lower and upper solutions, coupled with the monotone iterative techniques [1, 2], is equivalent to the constant sign of the Green's function related to the linear part of the studied problem [3, 4].

In some of the studied problems, however, deviated results are obtained for specific modes.

Looking at this diagram, we can notice that the majority of the studied problems are NP-complete.

In the studies of these authors the exact conditions for the solvability have been established and the integral representations of solutions of the studied problems have been found.

As many of the studied problems turn out to be NP-hard, we apply the framework of parameterized complexity to get a more detailed insight.

PK conceived of the study problem.