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Abstract. The computation schemes of collocation and mechanical quadrature methods for approximat... more Abstract. The computation schemes of collocation and mechanical quadrature methods for approximate solving of the complete singular integral equations with piecewise continuous coefficients and a regular kernel with weak singularity are elab-orated. The case when the equations are defined on the unit circumference of the complex plane is examined. The sufficient conditions for the convergence of these methods in the space L2 are obtained.
Este elaborat si argumentat teoretic un algoritm eficient pentru determinarea strategiilor optime... more Este elaborat si argumentat teoretic un algoritm eficient pentru determinarea strategiilor optime staţionare in proble- mele stocastice de control optimal discret cu perioada de dirijare infinită, definite pe reţele decizionale cu multiple clase recurente, in care este aplicat criteriul de optimizare a combinaţiei convexe a costurilor medii in clasele recurente. Sunt examinate probleme in care costurile de tranziţie intre stările sistemului dinamic si probabilităţile de tranziţie, definite in stările necontrolabile, sunt constante independente de timp. Algoritmul elaborat este bazat pe modelul de programare liniară pentru determinarea strategiilor optime in problemele de control definite pe reţele decizionale perfecte [3,4]. AN ALGORITHM FOR DETERMINING STATIONARY OPTIMAL STRATEGIES FOR STOCHASTIC DISCRETE OPTIMAL CONTROL PROBLEMS DEFINED ON NETWORKS WITH MULTIPLE RECURRENT CLASSES An efficient algorithm for determining optimal stationary strategies for the stochastic discrete optim...
Abstract. The computation schemes of collocation and mechanical quadrature methods for approximat... more Abstract. The computation schemes of collocation and mechanical quadrature methods for approximate solving of the complete singular integral equations with piecewise continuous coefficients and a regular kernel with weak singularity are elab-orated. The case when the equations are defined on the unit circumference of the complex plane is examined. The sufficient conditions for the convergence of these methods in the space L2 are obtained.
Este elaborat si argumentat teoretic un algoritm eficient pentru determinarea strategiilor optime... more Este elaborat si argumentat teoretic un algoritm eficient pentru determinarea strategiilor optime staţionare in proble- mele stocastice de control optimal discret cu perioada de dirijare infinită, definite pe reţele decizionale cu multiple clase recurente, in care este aplicat criteriul de optimizare a combinaţiei convexe a costurilor medii in clasele recurente. Sunt examinate probleme in care costurile de tranziţie intre stările sistemului dinamic si probabilităţile de tranziţie, definite in stările necontrolabile, sunt constante independente de timp. Algoritmul elaborat este bazat pe modelul de programare liniară pentru determinarea strategiilor optime in problemele de control definite pe reţele decizionale perfecte [3,4]. AN ALGORITHM FOR DETERMINING STATIONARY OPTIMAL STRATEGIES FOR STOCHASTIC DISCRETE OPTIMAL CONTROL PROBLEMS DEFINED ON NETWORKS WITH MULTIPLE RECURRENT CLASSES An efficient algorithm for determining optimal stationary strategies for the stochastic discrete optim...