Igor Grebennik

Professor, Dr. (Technical Science)

Selected papers.


I. Grebennik, O. Lytvynenko   Genteating permutations with partially defined order of elements//Bionica Intellecta: Sci. Mag, 2017.–№2 (89).– P.26–30.

Yu. Stoyan, I. Grebennik, V. Kalashnikov, O. Lytvynenko  Enumeration and Generation of Permutations with a Partially Fixed Order of Elements // International Journal of Combinatorial Optimization Problems and Informatics, Vol. 8, No. 1, Jan-April 2017, pp. 19-30. ISSN: 2007-1558.

Igor Grebennik, Remy Dupas, Oleksandr Lytvynenko, Inna Urniaieva, “Scheduling Freight Trains in Rail-rail Transshipment Yards with Train Arrangements”, International Journal of Intelligent Systems and Applications (IJISA), Vol.9, No.10, pp.12-19, 2017. DOI: 10.5815/ijisa.2017.10.02

Remy Dupas, Igor Grebennik, Oleksandr Lytvynenko, Oleksij Baranov, “An Heuristic Approach to Solving the one-to-one Pickup and Delivery Problem with Three-dimensional Loading Constraints”, International Journal of Information Technology and Computer Science (IJITCS), Vol.9, No.10, pp.1-12, 2017. DOI: 10.5815/ijitcs.2017.10.01

I. V. Grebennik , O. S. Chorna Special Transpositions of Permutation Elements and Properties of Their Composition // Cybernetics and Systems Analysis January 2017, Volume 53, Issue 1, pp 67–77.  doi:10.1007/s10559-017-9907-9

I. V. Grebennik, А.А.Kovalenko, Т.Е.Romanova, I.А. Urniaieva, S.B. Shekhovtsov Balance layout problem of cylindrical objects taken into account its combinatorial features// Bionica Intellecta: Sci. Mag, 2017.– №1 (88). – С.22–28.


Igor Grebennik, Random generation of combinatorial sets with special properties / Igor Grebennik, Oleksandr Lytvynenko // An International Quarterly Journal on Economics of Technology and Modelling Processes (ECONTECHMOD). – 2016. – Vol. 5, № 4. – pp. 43–48.

Igor Grebennik. Optimization of linear functions on a cyclic permutation based on the random search / Igor Grebennik, Alexey Baranov, Olga Chorna, Elena Gorbacheva // An International Quarterly Journal on Economics of Technology and Modelling Processes (ECONTECHMOD). – 2016. – Vol. 5, № 3. – pp. 211–216.

N.O. Brynza, I.V. Grebennik, V.V. Komyak, V.P. Pisklakova, O.O. Pisklakova  Information support of the management of large organizations under the conditions of instability of the environment // Systemy obrabotki informacii, 2016.– № 1 (138).– С. 66–75.. (In Russian).

О.М.Волощук, I.V. Grebennik, Yu.V. Sereda Selection of the optimal structure of bar scale for displacement transducers // Systems of control, navigation and communication.–2016.– № 1 (37).– P. 23–25. (In Russian).


I. V. Grebennik , O. S. Chorna Influence of Certain Transpositions on the Cyclic Structure of Permutations // Cybernetics and Systems Analysis, Nov. 2015, Volume 51, Issue 6, pp 947-955.  DOI 10.1007/s10559-015-9787-9

I.Grebennik, D.Grytsay, I.Misheryakov, V.Basto-Fernandes, I.Yevseyeva A multicriteria model for solving a real cutting layout problem in publishing industry // Conference on ENTERprise Information Systems / Book of Industry papers, poster papers and abstracts of International Conference on Project MANagement / Conference on Health and Social Care Information Systems and Technologies, CENTERIS / ProjMAN / HCist 2015 October 7–9, 2015. – P. 178–188.

Igor Grebennik. Elements transpositions and their impact on the cyclic structure of permutations / Igor Grebennik, Olga Chorna // An International Quarterly Journal on Economics of Technology and Modelling Processes (ECONTECHMOD). – 2015. – Vol. 4, № 3. – pp. 33–38.

I. Grebennik, D. Grytsay and S. Shekhovtsov. Optimal Placement Problem in Printing Production // Radioelectronics  & Informatics 2015, № 1, p. 4-11.

I. Grebennik, V.Ivanov, D.Ivanov, I.Urniaieva. A mathematical model of the problem of planning a file transfer from multiple sources to the consumer // Systemi obrobki informacii..–2015.– № 10 (135). (in Russian)

I. Grebennik,, А.Baranov, O. S. Chorna, E. Gorbacheva Optimization of linear functions on cyclic permutations based on random search // Radioelectronics  & Informatics. – 2015.– №3 (70). — P. 34–38. (in Russian)


Grebennik I. V., Rebezuk L.N., Rebezuk O.L. Mathematical formulation of problem of noise-immune methods of single-variable search synthesis // Bionics of intelligence., 2014.– №1 (82). (in Russian)

Grebennik I. V., Chorna О.S. Cyclic properties of adjacent permutations of different elements // Bionics of intelligence, 2014.– №1 (82). (in Russian)

Grebennik I. V., Grytsay D. V. Problem of determining of rational structure of printing edition // Collection of Scientific Papers of Kharkov University of Air Forces., 2014.– №4 (41). – С.28-33. (in Russian)


Yu.G. Stoyan, I.V. Grebennik Description and Generation of Combinatorial Sets Having Special Characteristics // International Journal of Biomedical Soft Computing and Human Sciences, Special Volume “Bilevel Programming, Optimization Methods, and Applications to Economics” Vol. 18, №1, 2013. – P. 83-88.

Grebennik I. V., Rebezuk L.N., Rebezuk O.L. Mathematical model of single-variable search problem under random disturbances // Bionics of intelligence, 2013. – № 2(81). – С.57-60. (in Russian)


Grebennik I. V., Grytsay D. V. Mathematical Modelling and Solving the Problem of Determining an Optimal Format for the Printed Edition // Journal of Printing Science and Technology.– 2012.– Vol. 49, No. 5.– p 27–34.

I. V. Grebennik, O.S. Lytvynenko Generation of combinatorial sets possessing special characteristics // Cybernetics and Systems Analysis, 48(6), 2012.

I. V. Grebennik, T. E. Romanova, S. B. Shekhovtsov, G.N.Yaskov Algorithm of construction of region of compromise in geometrical design // Systems of information processing.–2012.– № 7 (105).– С.150–157.(in Russian).

I. V. Grebennik, O.S. Lytvynenko, O.S. Titova Optimization of a linear function on the set of cyclic permutations // Bionics of intelligence. – 2012. – № 2. (in Russian)


I. V. Grebennik, D.V. Gritsay A mathematical model of the problem of determining the optimal size of an edition // Bionics of intelligence. – 2011. – № 1. – P. 41 – 47. (in Russian)


I. V. Grebennik Description and generation of permutations containing cycles // Cybernetics and Systems Analysis, 46(6), 2010.– P. 945-952.

Yu.G. Stoyan, I.V. Grebennik Combinatorial species for enumeration of combinatorial configurations having special properties // Proc. of NAS of Ukraine, 2010.– 7: p. 28-32 (in Russian)

I. V. Grebennik, A.V. Pankratov, A.M. Chugai, A.V. Baranov Packing of n-dimensional parallelepipeds with the feasibility to change their orthogonal orientation into the n-dimensional parallelepiped // Cybernetics and Systems Analysis. – 2010. – № 5. – P. 122 – 131.

A. V. Baranov, D.V. Gritsay, I. V. Grebennik, A. V. Pankratov, A. M. Chugay Placing of rectangular graphic elements in printing industry  // Bionika Intellekta. – 2010. – № 1. – С. 29 – 32. (In Russian)

І.V. Grebennik, A. V. Baranov Mathematical modeling and solving parallelepiped packing problems // Collection of Scientific Papers of Kharkov University of Air Forces. —2010. — № 2(24). — С. 49–55. (In Russian)


I. V. Grebennik, T. E. Romanova, S. B. Shekhovtsov Interval estimation of alternatives in decision-making problems // Cybernetics and Systems Analysis, 45(2), 2009.– P. 253–262.

I. V. Grebennik, A.V. Baranov Minimum estimates of convex functions on the classes of combinatorial sets of permutations // Radioelektronika. Informatika. Upravlenie. – 2009. – № 1. – С. 81–87. (in Russian)

I. V. Grebennik Optimization of some classes of interval mappings on interval set of permutations // Volynsky matematichny visnyk. Applied mathematics. – 2009. – № 6 (15).–  P. 44–58. (in Russian)

І.V. Grebennik, D.V. Gritsay, Т.E. Romanova, S.B. Shekhovtsov  Mathematical modeling of cutting problems in printing industry // Journal of Computational and Applied Mathematics.– Kyiv National Taras Shevchenko University, – 2009, 3(99), p. 38-47. (In Russian)



Yu.G. Stoyan, I.V. Grebennik Description of Classes of Combinatorial Configurations by Mappings // Proc. of NAS of Ukraine, 2008.– 10: p. 28-31 (in Russian)

I.V.Grebennik, T.E. Romanova, S.B.Shekhovtsov Decision making in information systems for solving problems of geometric design // Bionica intellecta. – 2008.– № 1 (68).– P. 79–83. (in Russian)



I.V. Grebennik, L.G. Yevseyeva, T.E. Romanova  Modeling of Interaction of the n-D Spheres within Interval Spaces // Telecommunications and Radio Engineering, 66(3), 2007.– P. 273–281.

I. V. Grebennik, A.V. Baranov Extremal properties of functions on classes of composition images of combinatorial sets // Bionics of Intelligence: Sci. Mag. – 2007. – №1(66).– P. 98–102. (in Russian)

I.V. Grebennik, A.V. Baranov Solving of some extremal problems on permutations compositions set // Radiotekhnika:  All-Ukr. Sci. Interdep. Mag. 2007.– N 149. – P. 12—17. (in Russian)

I. V. Grebennik, A.V. Baranov Optimization of Linear Functions with the Linear Constraints on the Combinatorial Sets on the Basis of the Random Search // Artificial Intelligence. – 2007. – №1.– P. 132–137. (in Russian)

I. V. Grebennik, L.Y. Yurchenko Ordering of permutations under solving of combinatorial optimization problems with linear goal function // Systemi obrobki informacii. – 2007. – Issue 8 (66).– С. 139–142. (in Russian)



Yu.G. Stoyan, I.V. Grebennik Composition Images of Combinatorial Sets and Some Their Properties // Problems in Machinery, 8(3), 2005.– P. 56–62. (in Russian)

I. V. Grebennik Properties of composition images of classes combinatorial sets under mapping to eucledean space //Radioelektronika і Informatika. – 2005. – №. 1.– P. 66 – 70. (in Russian)

I. V. Grebennik Extreme properties of functions on composition images of combinatorial sets  // Radioelektronika і Informatika. 2005. №. 2. P. 36 – 44. (in Russian)

I. V. Grebennik Classes of composition images of combinatorial sets in mathematical models of packing and cutting problems // Radioelektronika і Informatika. 2005. №. 3. P. 69 – 73. (in Russian)

I. V. Grebennik Combinatorial set of tuples permutations and its properties // Radioelectronics. Informatics. Control.– 2005. –№. 3. P. 69 – 73. (in Russian)



I.V. Grebennik Interval models of combinatorial optimization of quasilinear functions of the space  // Proc. of NAS of Ukraine, 2004.– 9: p. 60-64 (in Russian)

I.V. Grebennik Optimization models on composition images of combinatorial sets in decision making systems Bionics of Intelligence: Sci. Mag. – 2004. – №1(61).– P. 90–97. (in Russian)

Before 2004

S. V. Yakovlev, I. V. Grebennik  Localization of solutions of some problems of nonlinear integer optimization // Cybernetics and Systems Analysis, 29(5), 1993.– P. 727–734.

S. V. Yakovlev, I. V. Grebennik  On some classes of optimization problems on the set of arrangements and their applications // Izv. Vyssh. Ucheb. Zaved., Ser. Mathem., 1991, (11), pp. 74-86.  (in Russian)