Browsing by Author "Ungureanu, Valeriu"
Now showing 1 - 15 of 15
- Results Per Page
- Sort Options
Item ALGORITMI DE SOLUȚIONARE A PROBLEMELOR NELINIARE DE TRANSPORT(2021) Pașa, Tatiana; Ungureanu, Valeriu; Paladi, FlorentinScopul lucrării: constă în soluționarea unui șir de probleme neliniare de transport de dimensiuni mari cu funcții concave de cost.Item APPLYING SEQUENTIAL AND PARALLEL PROGRAMMING TO SOLVE ANON-LINEAR TRANSPORTATION PROBLEM(UTM, 2017) Pașa, Tatiana; Ungureanu, ValeriuSome aspects related to the structure of anon-linear network transport ation problem are investigated. An improve ment of an algorithm proposed earlier is provided by the means of sequential and parallel programming and by using several initial admissible solutions.An analysis of different ways of the algorithm implementation in the Wolfram Language is done. O btained testing results on problems with different dimensions and complexities are presented.Item ASELENIZAREA UNEI NAVE COSMICE(CEP USM, 2009) Brega, Alexandru; Ungureanu, ValeriuIt is considered the problem of the spaceship descending on the Moon (cosmic body without atmosphere) with spending a minimum amount of the fuel. The mathematical model represents an optimal control problem. It’s solved by application of the Lagrange principle and the maximum principle of Pontreaghin. The investigation of the problem with Lagrange method it is difficult because it needs application of numerical methods with a high precision and knowledge in several fields of mathematics and physics, also. However we obtain numerical results that illustrates the possibility for the cosmic ship to descend, respecting the proposed beginning requirements (the initial mass of fuel, height, velocity, etc.). It is presented the program for lunar descending simulation process in Mathematica 7.0. The formulas and numerical results, obtained during the theoretical analysis of the problem, are program fundamentals.Item ASUPRA METODEI POTENȚIALELOR PENTRU PROBLEMA DE TRANSPORT DEGENERATĂ(CEP USM, 2017) Paşa, Tatiana; Ungureanu, ValeriuÎn lucrare este studiată problema de transport și sunt prezentate câteva observații ce țin de unele cazuri sau situații particulare ce pot apărea în procesul de soluționare a problemei de transport prin metoda potențialelor. Este expusă o modalitate de îmbunătățire a metodei pentru cazul problemei de transport degenerate.Item FINDING THE SET OF ALL NASH EQUILIBRIA OF A POLYMATRIX MIXED-STRATEGY GAME(CEP USM, 2017) Ungureanu, ValeriuThe method of intersection of best response mapping graphs is applied to determine the Nash equilibrium set of a finite mixedstrategy game. Results of a Wolfram language implementation of the method are presented. Appeared issues are highlighted, too.Item GHID METODIC PENTRU ELABORAREA TEZELOR DE AN, DE LICENȚĂ ȘI DE MASTER(Editura USM, 2023) Bragaru, Tudor; Ungureanu, ValeriuPrezenta lucrare metodică elucidează procesul de realizare (planificare, elaborare și susținere) a tezelor de an, de licență și de master. Ghidul stabilește un set unic de cerințe și criterii pentru actorii implicați în organizarea procesului de realizare și eva- luare a tezelor în cadrul Facultății de Matematică și Informatică (FMI) a USM. Ghidul este o nouă ediție a lucrării [Bragaru], actualizată și îmbunătățită, ținându- se cont de modificările cadrului legislativ și normativ în vigoare, de cerințele și reco- mandările Ghidului metodic pentru perfectarea tezelor de licență/master [Rotaru], de noua versiune a Standardului Moldovenesc [ISO 690], precum și de noile provocări create de utilizarea diverselor Aplicații deschise de Inteligență Artificială (OAI), gen ChatGPT, YouChat etc., care generează texte-răspunsuri în procesul de comunicare cu utilizatorii. Ghidul a fost discutat și aprobat în ședințele: Departamentului de Informatică (proces-verbal nr.3 din 27.10.2023), Comisiei de Asigurare a Calității a FMI (proces- verbal nr.2 din 01.11.2023), Consiliului FMI (proces-verbal nr.3 din 02.11.2023). Ghidul este adresat studenților de la ciclurile I și II de studii universitare, dar poa- te fi util și altor categorii de utilizatori: conducători științifici, șefi de departamente și membri ai comisiilor de examinare a tezelor din cadrul FMI USM.Item Linear discrete optimal and stackelberg control processes with echoes and retroactive future [Articol](2015) Ungureanu, ValeriuWe develop mathematical models of linear discrete optimal and Stackelberg processes with echoes and retroactive future as an extensions and development of Pareto-Nash-Stackel-berg control u2. Investigated problems are solved by straightforward method and Pontryagin's principle. Wolfram Mathematica applications illustrate the value of the obtained results.Item MULŢIMI DE ECHILIBRE STACKELBERG ÎN JOCURILE DIADICE ÎN STRATEGII MIXTE(CEP USM, 2010) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Stackelberg equilibria for dyadic games in mixed strategies. We propose an algorithm for determining the Stackelberg equilibria in dyadic games.The main results are formulated and explained. A procedure for the equilibrium set determining is presented. It is applied to solve illustration examples.Item NASH EQUILIBRIUM SET FUNCTION IN DYADIC MIXED-STRATEGY GAMES(Institutul de Matematică şi Informatică al AŞM, 2017) Ungureanu, ValeriuDyadic two-person mixed strategy games form the case for which Nash equilibrium sets can be determined simply. In this paper the set of Nash equilibria in a particular game is determined as an intersection of graphs of optimal reaction mappingsof the first and the second players. In contrast to other games, it is obtained not only an algorithm, but a multi-valued Nash equilibrium set function that gives directly as its values the Nash equilibrium sets corresponding to the values of payoff matrix in- stances. To give an expedient form to such a function definition, it is used a code written in the Wolfram language. Additionally, it is also applied a Wolfram language code to prove the main theoretic result.Item OPTIMAL AND STACKELBERG CONTROLS OF LINEAR DISCRETE PROCESSES INFLUENCED BY ECHOES(Valines SRL, 2014) Ungureanu, Valeriu; Deveatîi, DumitruWe develop mathematical models of Stackelberg control for linear discrete-time processes influenced by echoes as the development of Stackelberg control models and principles|particular models and principles of the more general mathematical models of Pareto-Nash-Stackelberg control introduced by V. Ungureanu in [10]. Application of a straightforward method to solve investigated problems along with the Pontryagin's principle produces important theoretical and practical results. Software benchmarks confirm and illustrate value of the results.Item PARETO-NASH-STACKELBERG GAME AND CONTROL THEORY(Springer,Sham, 2018) Ungureanu, ValeriuThis book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.Item PRINCIPII DE ECHILIBRU PARETO-NASH(CEP USM, 2009) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Pareto-Nash equilibriums in strategic games. The main results and method for solving the problem are explained. They are applied to solve the problem of finding Pareto-Nash equilibriums of two player bi-criteria games through constructing the intersection of the graphs of efficient respond applications. Illustration examples are presented.Item PRINCIPII DE ECHILIBRU PARETO-NASH-STACKELBERG(CEP USM, 2010) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Pareto-Nash-Stackelberg equilibria in strategic games. The main results are formulated and explained. A procedure for the equilibrium set determining is presented. It is applied to solve illustration examples, especially for solving the problem of finding Pareto-Nash-Stackelberg equilibria of four player bi-criteria games through constructing the intersection of the graphs of efficient respond applications.Item TAXONOMY OF STRATEGIC GAMES WITH INFORMATION LEAKS AND CORRUPTION OF SIMULTANEITY(Academy of Sciences of Moldova, 2016) Ungureanu, ValeriuWe consider pseudo-simultaneous normal form games — strategic games with rules violated by information leaks and simultaneity corruption. We provide classification and construction of a game taxonomy based on applicable solution principles. Existence conditions are highlighted, formulated and analysed.Item WOLFRAM MATHEMATICA AS AN ENVIRONMENT FOR SOLVING CONCAVE NETWORK TRANSPORTATION PROBLEMS(CEP USM, 2017) Pașa, Tatiana; Ungureanu, ValeriuIn this work, we consider a transportation problem on a network with concave cost functions and constrained flows on arcs and expose an approach to its solving via Wolfram language algorithm implementation in Wolfram Mathematica System. Our original results are compared with results obtained by applying built-in Wolfram Language functions on a family of test problems .