Laboratory "Mathematical Modeling"
Research domains
- Mathematical modeling;
- Numerical methods;
- Probability theory;
- Game theory and optimal control;
- Modeling of economic processes.
References
Monographs
- Lozovanu D., Pickl Şt. Optimization and Multiobjective Control of Time-Discrete Systems. Springer, 2009, 300p
- Мишкой Г. Обобщенные приоритетные системы. Chişinău: Ştiinţa, 2009. 200p.
- Рыбакин Б., Численные методы для многопроцессорных ЭВМ. Chişinău, ed. USMold., 2008, 348 р.
- Ş. Buzurniuc, G. Secrieru, Programarea în limbajul C. Chişinău, Elena-V, 2008, 200p.
- Gh. Milcoi, Teoria probabilităţilor şi Statistica Matematică. Curs de lecţii. Elan Poligraf, 2007, 98p
- И.К. Навал, Б.П. Рыбакин, В.Г. Чебан, «Математическое Моделирование Экологических Процессов», Кишинэу, Эврика, 1998.
Chapters in monographs
- Lozovanu D., Fonoberova M. Optimal Dynamic Flows in Networks and Algorithms for Finding Them. Chapter in the book „Analisis of Complex Networks (Edited by Matthias Dehmer and Frank Emmert-Sterb) WILEY-VCH Verlag GmbH&Co. KGaA. 2009. p.377-400.
- D. Lozovanu, Multiobjective Control of Time-Discrete Systems and Dynamic Games on Networks. Chapter in the book “Pareto Optimality, Game Theory and Equilibria”, Springer Optimization and Its Applications, Vol. 17, 2008, Approx. 900 p. 30 illus., Hardcover, ISBN: 978-0-387-77246-2, p. 665-759.
Lecture notes
- Rîbachin B. DAAD SCHOOL “Параллельное программирование с помощью ОреnMP” (курс лекций). Chişinău: USM CECM, 2009, 50 p.
Articles in journals with impact factor
- Kolesnik A. D., Pinsky M. A. Random evolutions are driven by the hyperparabolic operators. In: Journal of statistical physics. 2011, vol. 142, p. 828-846, ISI:1.447.
- Lozovanu D. The game-theoretical approach to Markov decision processes and determining Nash equlibria for stochastic positional games. In: International journal of mathematical modelling and Numerical optimization. 2011, v.2, Nr. 2, p. 162-175, ISSN 2040-3607, ISI:0.513.
- Lozovanu D., Pickl S. A dynamic programming approach for finite Markov processes and algorithms for the calculation of the limit matrix in Markov chains. Optimization, Issue 10-11, 2011, vol. 60, p. 1339-1358, ISSN 0233-1934, ISI:0.8.
- Lozovanu D., Pickl S. Algorithms for solving discrete optimal control problems with varying time of tates'transactions of dynamical systems. Dynamics of continuous, discrete and impulsive systems, ser. B: Applications and Algorithms. 2010, 17, p. 101-111, ISSN 1492-8760, ISI: 0.513.
- Lozovanu D., Pickl Şt. Discrete Control and Algorithms for Solving Antagonistic Dynamic Games on Networks. In: Optimization. 2009, v.58, No 8, p.665—683.
- Lozovanu D., Pickl Şt. Algorithms for Solving Discrete Optimal Control Problems with Infinite Time Horizon and Determining Mean Cost Cycles in a Directed Graph as a Decision Support tool. In: Central European Journal of Operation Research, Springer, 2009, v.17, No 3, p. 255—264.
- Lugovoi P. Z., Meish V. F., Rybakin B. P., Secrieru G. V. Numerical simulation of the dynamics of a reinforced shell subject to nestationary load. In: Springer, International Appleid Mechanics. 2008. Vol.44, No 7, p. 788-793.
- Lozovanu D., Pickl Şt. A constructive algorithm for max-min paths problems on energy networks, Applied Mathematics and Computation. Elsevier. No. 3(2008), p. 136-145
- Луговой П., Мейш В. Ф., Рыбакин Б. П., Секриеру Г. В. Численное моделирование динамики подкрепленной оболочки при нестационарной нагрузке. Киев, Мехдународный научный журнал "Прикладная Механика", т. 44, № 7, с. 83-90, 2008.
- Mishkoy Gh. K., Rykov V. V., Giordano S., Bejan A. Iu. Multidimensional Analogs of the Kendall Equation for Priority Queueing Systems: Computational Aspects. Automatics and Remote Control. Vol. 69, no 6. Pleiades Publishing, USA, p. 980-992, 2008.
- Kolesnik A. D. Random motions at finite speed in higher dimensions. Journal of Statistic Physics. 2008, no 131, p.1039-1065.
- Kolesnik A. D. Limit theorem for symmetric Markovian random evolutions in . Theory Stochastic Process. 2008, 14(30), no. 1, p. 69-75.
- Kolesnik A. D. and Orsingher E. A planar random motion with an infinite number of directions controlled by the damped wave equation. J. Appl. Prob., 2005, v.42, no.4, p. 1168-1182.
- Kolesnik A. A note on planar random motion at finite speed. Journal of Applied Probability. Ed. UK., Sheffield, 2007, vol. 44, nr. 3, p. 838-842.
Articles
- Bacon J., Bejan A., Beresford A., Evans D., Gibbens R., Moody K. Using realtime road trafic data to evaluate congestion. In: Dependable and Historic Computing, Essays Dedicated to Brian Randell on the Occasion of his 75th Birthday, Jones, Cliff B., Lloyd, John L. (Eds.), Lecture Notes in Computer Science, 6875, 2011, p. 93–117, ISBN 978-3-642-24540-4.
- Birchenko V., Bejan A., Usnich A., Davies D. Application of inflow control devices to heterogeneous reservoirs. In: Journal of Petroleum Science and Engineering, 78, 2011, p. 534–541, ISSN 0920-4105, doi: 10.1016/j.petrol.
- Lozovanu D., Pickl S. An extention of a polynomial time algorithm for the calculation of the limit state matrix in a random graph. In: International Jounal of Computing Anticipatory Systems, 2011, v. 25, p. 92-97.
- Lozovanu D., Pickl S. Algorithms for determining the state-time probabilities and the limit matrix in Markov chains. In: Buletinul AŞM, ser. Matematica, N1(65), 2011, p. 66-82, ISSN 1024-7696.
- Naval E., Timuş A. Inovarea şi creşterea economică în Republica Moldova. În: Economie şi Sociologie, Chişinău, 2011, nr. 1, p. 155-164, ISSN 1857-4130.
- Mişcoi Gh., Bejenari D., Mitev L. Modele semi-Markoviene de servire cu priorităţi. În: Articolele din Analele ULIM, Seria Economie, Chişinău, ULIM, 2011, vol. 11, p. 95-105, ISBN 978–9975–9747–5–2, ISSN 1857-1468.
- Naval E. Modelarea creşterii economice bazate pe cercetare-dezvoltare. În: Proceedings International Scientific and Practical Conference "Economic Growth in Conditions of Internationalization", VI-th edition, Chişinău, october 20-21, 2011, 8 p., Ed. IEFS.
- Naval E. Creşterea economică optimă în condiţii incerte. În: Conferinţa ştiinţifică Internaţională: Probleme şi perspective de dezvoltare a potenţialului economic şi managerial a Rrepublicii Moldova în condiţiile de criză, 21 Aprilie, 2011, Chişinău, Republica Moldova, p. 369-374.
- Mişcoi Gh., Bejenari D. Matrix Algorithm for Multidimensional Kendall Equation with PH Distribution regarding Switching. În: Materialele Conferinţei Internaţionale "Probleme şi perspective de dezvoltare a potenţialului economic şi managerial al R. Moldova în condiţii de criză", ULIM, Chişinău, 2011, p. 359-363.
- Mişcoi Gh., Mitev L. Exemple software pentru unele modele matematice în fenomenele de aşteptare. În: Materialele Conferinţei Internaţionale "Probleme şi perspective de dezvoltare a potenţialului economic şi managerial al R. Moldova în condiţii de criză", ULIM, Chişinău, 2011, p. 364-369.
- Altuhov A., Bogatencov P., Golubev A., Iliuha N., Secrieru G. Current State of Distributed Computing Infrastructure Deployment in Moldova. În: Proceedings of the 10th RoEduNet International Conference, Iaşi (România), 2011, p. 69-72, ISSN 2247-5443.
- Andries A., Bogatencov P., Secrieru G. CBF Solution Implementation for Linking NREN of Moldova to GEANT. In: Proceedings of the 10th RoEduNet International Conference, Iaşi (România), 2011, 65-68 ISSN 2247-5443.
- Bejan A., Gibbens R. Evaluation of velocity fields via sparse bus probe data in urban areas. În: 14th International IEEE Conference on Intelligent Transportation Systems. October 5-7, 2011, Washington DC, USA, p. 746–753, ISBN 978-1-4577-2196-0.
- Bejan A. Evaluating urban traffic congestion using OpenStreetMap and sparse public transport data. In: Proceedings of The 1st European State of the Map Conference of the OpenStreetMap project. July 15-17, 2011, Vienna, Austria, p.135–157.
- Golubev A., Bogatencov P., Secrieru G., Iliuha N. DICOM Network – Solution for Medical Imagistic Investigations Exchange. In: Proceedings IIS "International Workshop on Intelligent Information Systems", September 13-14, 2011, Chişinău, p. 179-182, ISBN 978-9975-4237-0-0.
- Iliuha N., Altuhov A., Bogatencov P., Secrieru G., Golubev A. SEE-HP Project – Providing Access to the Regional High Performance Computing Infrastructure. In: Proceedings IIS "International Workshop on Intelligent Information Systems", September 13-14, 2011, Chişinău, p. 183-186, ISBN 978-9975-4237-0-0.
- Lozovanu D., Pickl S., Kropat E. Markov Decision Processes and Determining Nash Equilibria for Stochastic Positional Games. In: Proceeding of 18th IFAC Congress, Milano, 2011, p. 13398-13403.
- Lozovanu D., Pickl S., Capcelea M. Linear programming approach for solving stochastic control problem on networks with discounted transition costs. In: Proceedings of the International Congress on Computer Science, Minsk, 2011, v. 2, p. 350-354.
- Lozovanu D., Pickl S. Discounted Markov decision processes and algorithms for solving stochastic control problems on networks. In: Proceedings of 10th CTW conference, Frascati (Italy), 2011, p. 194-198.
- Мгшкой Г. Аналоги уравнения Поллачека – Хинчина для систем Поллинга. In: Proceedings of the International Congress on Computer Science, R. Belarus, Minsk, 2011, vol. 2, p. 33-36.
- Рыбакин Б. П. Решение III-d задач газовой динамики на графических ускорителях. Труды Международной суперкомпьютерной конференции «Научный сервис в сети Интернет: экзафлопсное будущее». Россия, г. Новороссийск, 2011, ст. 321-325.
- Рыбакин Б. П., Стамов Л. И. Использование многопроцессорных вычислительных систем и графических ускорителей для моделирования задач газодинамики. Труды Международной суперкомпьютерной конференции «Научный сервис в сети Интернет: экзафлопсное будущее». Россия, г. Новороссийск, 2011, ст. 84-89.
- Рыбакин Б. П., Егорова Е. В. Решение задач газовой динамики на графических ускорителях. Труды Международной суперкомпьютерной конференции «Научный сервис в сети Интернет: экзафлопсное будущее». Россия, г. Новороссийск, 2011, ст. 326-331.
- Mişcoi Gh., Benderschi O. Generalized Priority Models with "Look ahead" Strategy: Numerical Algorithms for Busy Periods. ROMAI Journal, Romania, 2010, 6(1), p. 125-134, ISSN 1841-5512.
- Kolesnik A. D. Stochastic models of transport processes. În: International Encyclopedia of Statistical Science. 2010, Springer, (articol nr.572, 6 p.).
- Lazari A. Algorithms for Determining the Transient and Diferential Matrices in Finite Markov Processes. Buletinul AŞM, ser. Matematica. 2010, nr. 2(63), p. 84-99, ISSN 1024-7696.
- Lozovanu D., Lazari A. An Approach for Determining the Matrix of Limiting State Probabilities in Discrete Marcov Processes. Buletinul AŞM, ser. Matematica. 2010, nr. 1, p. 33-48, ISSN 1024-7696.
- Rybakin B., Sider N. Numerical modeling of multidimensional problems of gravitational gas dynamics with high resolution schemes. Buletinul AŞM, ser. Matematica. 2010, nr. 1, p. 92-102, ISSN 1024-7696.
- Dehmer M., Popovscaia M. Towards Structural Network Analysis. Buletinul AŞM, ser. Matematica. 2010, nr. 1, p. 3-22, ISSN 1024-7696.
- Mişcoi Gh., Bejenari D. Algoritmi numerici pentru perioada de ocupare în modele exhaustive Polling. Analele ULIM, Seria Economie. Chişinău, 2010, vol. 10, p. 54- 63, ISSN 1857-1468.
- Bejan A., Gibbens R., Evans D., Beresford A., Bacon J., Fridaz A. Statistical Modelling and Analysis of Sparse Bus Probe Data in Urban Areas. 13th International IEEE Conference on Intelligent Transportation Systems. Madeira Island, Portugal, September 19-22, 2010, p. 1256-1263.
- Loyovanu D., Pickl S. Optimal Stationary Control of discrete Processes and a Polynomial Time Algorithm for Stochastic Control Problem on Networks. International Conference on Computational Science ICCS 2010; Proceedings of ICC5-2010 Conference, Amsterdam, 2010, p. 1-10.
- Loyovanu D., Pickl S. Determining Optimal Stationary Strategies for Discounted Stochastic Optimal Control Problem on Networks. Proceedings of 9th Cologne-Twenty Workshop on Graphs and Combinatorial Optimization. Cologne, Germany. 2010, p. 115-119.
- Pickl S., Loyovanu D. A linear programming approach for solving the discounted stochastic optimal control problem on certain networks. Proceedings of the NEAC-2010 conference, Italy, Riva de Gardo, 2010, p. 1-4.
- Рыбакин Б. П., Шидер Н. И. Построение параллельных алгоритмов для решения задач гравитационной газовой динамики. Научный сервис в сети Интернет: масштабируемость, параллельность, эффективность: Труды Всероссийской суперкомпьютерной конференции (21-26 сентября 2009 г., г. Новороссийск). - М.: Изд-во МГУ, 2010, ст. 281-284, ISBN 978-5-211-05916-0.
- Guţuleac E. Математическое моделирование процесса взрывного нагружения оболочечных систем, заполненных жидкостью. Третья Международная конференция "Телекоммуникации, электроника и информатика", V. II, Chisinau, 2010, p. 150-155, ISBN 978-9975-45-136-9.
- Lozovanu D., Capcelea M. Algorithms for determining optimal stationary strategies of discounted stochastic optimal control problem on networks. Materialele conferinţei internaţionale „Modelare Matematică, Optimizare şi Tehnologii Informaţionale” (24-26 martie 2010), ediţia a II-a, ATIC. Chişinău, 2010, p. 50-55, ISBN 978-9975-941-54-9.
- Mişcoi Gh., Bejenari D., Usatîi L. Modelarea perioadei de ocupare şi a repartiţiei şirului de aşteptare pentru sisteme Polling cu servire exhaustivă. Materialele Conferinţei Internaţionale "Modelare Matematică, Optimizare şi Tehnologii Informaţionale" (24-26 martie 2010), ediţia a II-a, ATIC, Chişinău, 2010, p. 168-175, ISBN 978-9975-941-54-9.
- Mişcoi Gh., Groza O. Method of Catastrophes and its utilization for QoS characteristics determination. Materialele Conferinţei Internaţionale "Modelare Matematică, Optimizare şi Tehnologii Informaţionale" (24-26 martie 2010), ediţia a II-a, ATIC, Chişinău, 2010, p. 162-167, ISBN 978-9975-941-54-9.
- Secrieru G., Altuhov A., Bogatencov P., Vasiucova E. MD-GRID NGI: Current State and Perspectives of Grid-Tehnologies Development in Moldova. Distributed Computing and Grid-Tehnologies in Science and Education: D63 Book of Abstr. Of the 4th Internaţional Conf. (Dubna, june 28-july 3), 2010, p. 173-174, ISBN 978-5-9530-0253-0.
- Altuhov A., Bogatencov P., Vasiucov E., Secrieru G. MD-GRID NGI: Современное состояние и перспективы развития GRID –технологий в Молдове. In: Proceedings of the 4th International Conference "Computing and GRID-Technologies in Science and Education". Dubna (Russia), 2010, p. 279-283, ISBN 978-5-9530-0269-1.
- Mişcoi Gh., Bejenari D. Numerical k busy periods algorithms for polling systems with semi-Marcov switching. ROMAI Journal. Romania, 2009, 5(2), p. 119-126, ISSN 1841-5512.
- Griza Iu., Koroliuk V. S., Mamaonova A. V., Mişcoi Gh. Queueing Systems with semi-Marcov flows in diffusion approximation schemes. Studia Universitatis, seria "Ştiinţe exacte şi economice". Chişinău, USM, 2009, 7(27), 65-70, ISSN 1857-1735.
- Rybakin B., Secrieru G., Lugovoi P., Meish V. The numerical investigation of reinforced shell undergo dynamic load. Proceedings of the Internaţional Conference XXth SISOM 2009, Bucharest, România, 28-29 mai, 2009, p. 125-129, ISSN 2068-0481.
- Naval E. Inovarea ca factor determinativ în creşterea economică de lungă durată. Conferinţa Ştiinţifică Internaţională "Competitivitatea şi inovarea în economia cunoaşterii" (25-26 septembrie 2009), Chişinău, 2009. V. I, p. 208-213.
- Lozovanu D., Pickl Şt. Dynamic Programming Algoritme for Solving Stochastic Discrete Control Problems. In: Buletinul AŞ RM, Matematica. 2009, Nr. 2, p. 73-90.
- Kolesnik A. D. The explicit probability distribution of a six-dimensional random flight. In: Theory Stochast. Process., 2009, v.15, issue 1, p. 82-90.
- Kolesnik A. D. The distribution of a planar random evolution with random start point. In: Buletinul AŞ RM, Matematica. 2009, v.1(59), p. 79-86.
- Rybakin B., Shider N. Computer modeling of multidimensional problems of gravitational gas dynamics on multiprocessor computers. In: Computer Science Journal of Moldova, 2009, vol.2, No.1(49), p. 3-13.
- Aндронати Н. Р., Мишкой Г. К. Технологическое обеспечение надежности вычислительных систем. In: Proceedings of the International Conference on Mathematical methods in Reliability (MMR-2009). Theory, Methods, Applications. Moscow, 2009, p.466-470.
- Lozovanu D., Pickl St. Algorithmic Solution of Discrete Control Problems on Stochastic Networks. In: Proceedings of the Conference CTW 2008. Paris, France, June 2-4, 2009. p. 21-224.
- Mishkoy Gh., Vishnevsky V., Benderschi O. The algorithms of evaluation of the mean of length of the busy period and auxiliary characteristics for the class of generalized priority queueing systems. In: Proceedings of the International Conference Distributed Computer and Communication Networks, Sofia, Bulgaria, 2009 , p. 183-191.
- Mishkoy Gh., Rykov V., Andronaty N., Bejenari D. Probabilities of State for Polling Systems with semi-Markov switching and exhaustive service. In: Proceedings of the Congress of the American Romanian Academy of Arts and Sciences, Sibiu, Romania, 2009, V. II, p. 149-151.
- Рыбакин Б. П.. Параллельная трехмерная TVD схема для решения задач гравитационной газовой динамики. În: Международная конференция „Параллельные вычислительные технологии” (ПаВТ'2009) г. Нижний Новгород, 30 марта– 3 апреля 2009 г., стр.673-679.
- Рыбакин Б. П. Компьютерное моделирование гидродинамических задач на многопроцессорных ЭВМ. În: Межд. Конф. „Научный сервис в Internet . Технологии параллельного программирования”, Абрау-Дюрсо, 21-26.09.2009, стр. 422-425.
- Andronaty N., Mishkoy Gh. Technological methods of ensuring reliability in the production of computers. In: Proceedings of the International Conference , Mathematical methods in Reliability (MMR-2009). Theory, Methods, Applications. Moscow, 2009, p. 466-470.
- Рыбакин Б. П. Численное моделирование воздействия ударной волны на подкрепленную оболочку. În: Межд. конф. Совре. проблемы „Газовой и волновой динамики”. МГУ, Москва, 2009, стр. 89-90.
- Rykov V. V., Mishkoy Gh. The new approach on study Polling Systems. In: Proceedings of the 4th International Conference on Control Problems, Moscow, 2009, p. 1749-1758.
- Vishnevsky V., Mishkoy Gh., Semenova O. New models and methods to study Polling Systems. In: Proceedings of the International Conference Distributed Computer and Communication Networks, Sofia, Bulgaria, 2009 , p. 79-85.
- Lozovanu D., Pickl Şt. Multilayered Network Games: Algorythms for Solving Discrete Optimal Control Problems with Infinite Time Horison via Minimal Mean Cost Cycles and a Game-Theoretical Approach. In: Operation Research Proceedings. 2008, Springer, 2009, p. 513-518.
- Kolesnik A. An asymptotic formula for the density of a multidimensional random evolution with rare Poissonian switchings. Ukrainen Mathematical Journal, 2008, V. 60, no 12, p. 1631-1641.
- Naval E. Macroeconomic modeling of the economy in transition, Materialele Conferinţei Internaţionale „Modelare Matematică, Optimizare şi Tehnologii Informaţionale”, Chişinău, 19-21 martie 2008, p. 211-225.
- Бисноватый-Коган Г. С., Моисеенко С. Г., Рыбакин Б. П.,Секриеру Г. В. Моделирование взрыва сверхновой звезды на многопроцессорных ЭВМ. Труды Mежд. Научной конф. "Параллельные вычислительные технологии (ПаВТ 2008)", Санкт-Петербург, Россия, c. 319-323
- Mishkoy Gh., Bejan A., Benderschi O. Evaluating of the traffic coefficient in priority queueing systems. Computer Science Journal of Moldova. V. 16, N.2(47), p. 269-285, 2008
- Geru V. Spects of Programming Macroeconomic Models. Rezumatele Conferinţei Internaţionale “Mathematical Modeling. Optimization and Informational Technologies”, Chisinau, Moldova, 19-21 Martie 2008, p. 249-254.
- Bogatencov P., Secrieru G., Sidorenco V. Modern Grid Services for Wide Utilization. Proceedings of the VIII-nd Int. Conf. BIT+ “Information Technologies – 2008”, Chisinau, 15 – 17 April 2008, p. 156 - 161
- Bisnovatyi-Kogan G., Moiseenko S., Rybakin B., Secrieru G. Modeling of explosive magneto rotational phenomena: from 2D to 3D. Buletinul Academiei de Stiinţe a Republicii Moldova, Matematica, N.3(55), pp. 55-63, 2007.
- Rîbachin B., Lugovoi P., Meish V., Secrieru G. Mathematical Simulation of Explosion Deformation of Cylindrical Shells . The Annual Symposium of the Institute of Solid Mechanics Romanian Academy. SISOM 2005, Bucharest May 17-19, 2005, pp. 87-96.
- Rîbachin B. Mathematical model of biochemical decomposition of organic in landfill. CSJM, V.11,N3(33), 2003, pp. 347-359.
- Мишкой Г., Нистрюк С., Приоритетные очереди с полумарковскими переключениями, Материалы IV Международной научно-практической конференции, Тирасполь, 2005.
- Fonoberova M., Lozovanu D., Minimum Cost Multicommodity Flows in Dynamic Networks and Algorithms for their Finding. The Bulletin of Academy of Sciences of Moldova, Mathematics, 1(53), 107-119 (2007)
- Lozovanu D., Pickl S. Algorithms and the calculation of Nash Equilibria for multi-objective control of time-discrete systems and polynomial-time algorithms for dynamic c-games on networks. European Journal of Operational Research, 181(3), 198-216 (2007)
- Lozovanu D., Pickl S. Algorithms for solving multiobjective discrete control problems and dynamic c-games on networks. Discrete Applied Mathematics, 155(14), 158-180 (2007)
- Lozovanu D., Pickl S. Multiobjective Hierarchical Control of Time-Discrete Systems and Determining Stackelberg Strategies. CTW 2007 Proceedings, PP. 111-114, 2007.
- Mishkoy Gh., Giordano S., Bejan A., Benderschi O. Priority Queueing Systems with Switchover Times: Generalized Models for QoS and CoS Network Technologies. Computer Sciences Journal of Moldova, v. 15(44), n.2, pp.217-242, 2007.
- Naval E. Experience of macroeconomic models realization in transition economy. Computer Science Journal of Moldova, 12(2(35)), 2004.