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Variable Neighborhood Search for Solving Combinatorial Optimization Problems

Student: Matyushin Maksim

Supervisor: Ilya S. Bychkov

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Final Grade: 7

Year of Graduation: 2017

Critical nodes detection problem is well-known NP complete problem of graph theory, which has a large number of applications in different spheres. The purpose of this work is to develop the algorithm, which includes minimization of certain target function and applying the metaheuristic Variable Neighborhood Search for searching an optimal solution inside of many neighborhood. The program was developed and realized that implements this algorithm. This program was tested on graphs of various size and the results of computational experiments were compared with results of other algorithms.

Full text (added May 29, 2017)

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