Automatic Control and Information Sciences
ISSN (Print): 2375-1649 ISSN (Online): 2375-1630 Website: Editor-in-chief: Apply for this position
Open Access
Journal Browser
Automatic Control and Information Sciences. 2014, 2(2), 32-44
DOI: 10.12691/acis-2-2-1
Open AccessArticle

Complex Evaluation of Hierarchically-Network Systems

Dmytro Polishchuk1, Olexandr Polishchuk1, and Mykhailo Yadzhak1

1Department of Nonlinear Mathematical Analysis, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine

Pub. Date: May 06, 2014

Cite this paper:
Dmytro Polishchuk, Olexandr Polishchuk and Mykhailo Yadzhak. Complex Evaluation of Hierarchically-Network Systems. Automatic Control and Information Sciences. 2014; 2(2):32-44. doi: 10.12691/acis-2-2-1


Methods of complex evaluation based on local, forecasting, aggregated, and interactive estimation of the state, function quality, and interaction of complex system’s objects on the all hierarchical levels is proposed. Examples of analysis of the structural elements of railway transport system are used for illustration of efficiency of proposed approach.

complex system network evaluation aggregation forecasting

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit


[1]  Hinrichsen, D. and Pritchard, A. J., Mathematical Systems Theory, Springer, , 2005.
[2]  Boccatti, S., Latora, V., Moreno, Y., Chavez, M. and Hwang, D.-U., “Complex Networks: Structure and Dynamics“, Physics Reports, 424. 175-308. June 2006.
[3]  Buslenko, N.P., Modelling of complex systems, Nauka, Moscow, 1978.
[4]  Alcorta G. E. and Frank, P.M., “Deterministic nonlinear observer-based approaches to fault diagnosis: A survey”, Control Engineering Practice, 5 (5). 663-670. May 1997.
[5]  Polishchuk, D. and Polishchuk, O., “About evaluation of complex dynamical systems”, Journal of Complex Systems, 2013, Article ID 204304, 6 p. Available: 204304.
[6]  Bloom, M., Fischer, J. and Orme, J., Evaluating practice, Allyn and Bacon, Boston, 2006.
[7]  Ramsey, F. and Schafer, D., The Statistical Sleuth: A Course in Methods of Data Analysis, Duxbury Press, 2001.
[8]  Claxton, K., “The irrelevance of inference: a decision-making approach to the stochastic evaluation of health care technologies”, Journal of Health Economics, 18 (3). 341-364. June 1999.
[9]  Lee, J. and Jay Kuo, C.-C., “Tree model simplification with hybrid polygon/billboard approach and human-centered quality evaluation”, 2010 IEEE International Conference on Multimedia and Expo, IEEE Xplore, 932-937.
[10]  Polishchuk, D., Polishchuk, O. and Yadzhak, M., “Comparison of methods of complex system evaluation”, Information Extraction and Processing, 32 (108). 110-118. July 2010.
[11]  Polishchuk, O., “Optimization of estimation of man’s musculoskeletal system”, Computer Mathematics and Calculation Optimization, 2. 360-367. June 2001.
[12]  Polishchuk, D., “Model of local evaluation of the state of Ukrrailways track facilities”, Proceedings of Dnipropetrovsk National University of Railway Transport, 41. 158-166. Apr. 2012.
[13]  Armitage, P., Statistical methods in medical research, Blackwell Science, Oxford, 2002.
[14]  Patton, M. Q., How to use qualitative methods in evaluation, Sage Publications, New York, 1987.
[15]  Su, C.-L., “Stochastic evaluation of voltages in distribution networks with distributed generation using detailed distribution operation models”, IEEE Transactions on Power Systems, 25 (2). 786-795. May 2010.
[16]  Bar-Yam, Y., “About Engineering Complex Systems: Multiscale Analysis and Evolutionary Engineering”, Engineering Self-Organising Systems: Methodologies and Applications, Springer, London, 2005, 16-31.
[17]  Roy, D. and Dasgupta, T., “Evaluation of reliability of complex systems by means of a discretizing approach”, International Journal of Quality & Reliability Management, 19 (6). 792-801. Sept. 2002.
[18]  Norros, L. and Saviola, P., Usability evaluation of complex systems, STUK, Helsinki, 2004.
[19]  Lung-Wen, T., Distributed real time systems : monitoring, visualization, debugging and analysis, Lavoisier, Paris, 1996.
[20]  Polishchuk, D., Polishchuk, O. and Yadzhak, M., “Investigation of the state and functioning quality of railway system”, Proceedings of National Transport University, 26 (1). 385-391. Oct. 2012.
[21]  Shen, Q. and Jensen, R. “Selecting informative features with fuzzy-rough sets and its application for complex systems monitoring”, Pattern Recognition. 37 (7). 1351-1363. July 2004.
[22]  Zhao, F., Koutsoukos, X., Haussecker, H., Reich, J. and Cheung, P. “Monitoring and fault diagnosis of hybrid systems”, IEEE Transactions on Systems, Man, and Cybernetics, 35 (6). 1225-1240. Dec. 2007.
[23]  Owen, C. L., “Evaluation of complex systems”, Designe Studies, 28 (1). 73-101. Jan. 2007.
[24]  Hwang, C. L., Tillman, F. A. and Lee, M. N., “System-Reliability Evaluation Techniques for Complex/ Large Systems. A Review”, IEEE Transactions, Reliability, 30. 5. 416-423. Dec. 1981.
[25]  Marakas, G.M., Decision support systems in the 21st Century, Pearson Education, Cambridge, 2003.
[26]  Barabási, A.-L., “The architecture of complexity”, IEEE Control Systems Magazine, 27 (4). 33-42. Aug. 2007.
[27]  Official site of Ukrainian Railways. Available: ua.
[28]  Lichtberger, B. W., “Kostensenkung durch Qualitatsvorrat in der Fahrweginstandhaltung”, Der Eisenbahningenieur, 50 (1). 39-42. June 1999.
[29]  Polishchuk, D., Polishchuk, O., and Yadzhak, M., “Solution of some problems of evaluation of the complex systems”, in 15th International Conference on Automatic Control, Odesa, Ukraine, 968-976. Sept. 2008.
[30]  Polishchuk, D. and Yadzhak, M., “Use of time series for forecasting of functioning quality of complex systems”, in International Conference on Modern Problems of Mechanics and mathematics, Lviv, Ukraine, 3. 38-44. May 2008.
[31]  Wang, F.-Y., “Computational experiments for behavior analysis and decision evaluation of complex systems”, Journal of System Simulation, 16.5. 893-897. May 2004.