Optimizarea discretă, analiza şi proiectarea algoritmilor, teoria jocurilor şi controlul optimal
Lucrări importante
The game-theoretical approach to Markov decision problems and determining Nash equilibria for stochastic positional games. Dmitrii Lozovanu Int. Journal of Mathematical Modelling and Numerical Optimization., 2, (2), 2011, pp. 162-174.
A dynamic programming approach for finite Markov processes and algorithms for the calculation of the limit matrix in Markov chains. Stefan Pickl, Dmitrii Lozovanu Optimization., 60 (10), 2011, pp. 1339-1358.
Algorithms for solving discrete optimal control problems with varying time of states’ transitions of dynamical system. Dmitrii Lozovanu, Stefan Pickl Dynamics of Continuous, Discrete and Inpulsive Systems, ser. B: Applications and Algorithms, 17, 2010, pp. 101-111.
Discrete control and algorithms for solving antagonistic dynamic games on networks. Dmitrii Lozovanu, Stefan Pickl Optimization, 58 (6), 2009, pp. 665-683.
Optimization and Multiobjective controlof Time-Discrete Systems. Dmitrii Lozovanu, Stefan Pickl Springer, London, 2009, 285 p. (Monograph).
Algorithms for solving discrete optimal control problems with infinite time horizon and dtermining minimal mean cost cycles in a directed graph as decision support tool. Dmitrii Lozovanu, Stefan Pickl Central European Journal of Operations Research. 17(3), 2009, pp. 255-264.
A constructive algorithm for max-min path problem on energy networks. Dmitrii Lozovanu, Stefan Pickl Applied Mathematics and Computations., 204 (2), 2008, pp. 602-609.
Multiobjective Control of Time-Discrete Sytems and Dynamic Gasmes on Networks. Dmitrii Lozovanu Chapter in the book: Pareto Optimality, Game Theory and Equilibria (edited by A. Chinchuluun, P. Pardalos), Spriger, 2008, pp. 665-756.
Algorithms and the calculation of Nash Ecuilibria for multiobjective control of time-discrete systems and polynomial-time algorithms for dynsamic c-game on networks. Dmitrii Lozovanu, Stefan Pickl European Journal of Operational Research, 181, 2007, pp. 1214-1232.
Algorithms for solving multiobjective discrete control problems and dynamic c-games on networks. Dmitrii Lozovanu, Stefan Pickl Discrete Applied Mathematics, 155, (14), 2007, pp. 1846-1857.
Nash Equilibria for Multiobjective Control of Time-Discrete Systems and Polynomial-Time Algorithm for k-partite Networks. Dmitrii Lozovanu, Stefan Pickl Central European Journal of Operation Research 13(2), 2005, pp. 127-146.
Polynomial time algorithm for determining optimal strategies in cyclic games. Dmitrii Lozovanu IPCO 2004 Conference Proceedings, New York, Springer, 2004, pp. 74-85.
Networks models of discrete optimal control and dynamic games with p players. Dmitrii Lozovanu Discrete Mathematics and Applications, 13, 4, 2001, pp. 126-143.
Optimal paths in network games with p players. D. Lozovanu, R. Boliac, D. Solomon Discrete Applied Mathematics, 99, 1-3, 2000, pp. 339-348.
Apartenenţa la societăţi, redacţii
Societatea Matematică din Republica Moldova (SMRM).
Membru Colegiului de Redacţie a revistei „Buletinul Academiei de ştiinţe al Republicii Moldova. Matematica”.
Membru Colegiului de Redacţie a revistei „Computer Science Journal of Moldova”.
Distincţii
Premiu de Stat in Domeniul ştiinţei, Tehnicii şi Producţiei (1998).
Premiu „Best Paper Award” la simposionul „Computing Systems, Discrete Models, Algorithm, Simulation, Information Systems, Networks” pentru contribuţia „Optimization, Monotonicity and the Determination of Nash Equilibria – An Algorithmic Analysis”, CASYS’03 Liege, Belgium, August 11-16, 2003.
Laureat al premiului academicianului Sibirsky (2004).
Premiu Academiei de Ştiinţe a Moldovei (2006).
Premiu "Savantul Anului" (2009).
Publicaţii în Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica şi Quasigroups and Related Systems