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The paper deals with an application of multicriteria optimization to optimum structural design. A brief formulation of multicriteria optimization problem is presented. The paper contains two examples. The first example is concerned with application of utility function in optimum design of prestressed concrete I beam. The second example illustrates the application of metric function in izostatic truss...
The paper discusses a new criterion for evaluation the precision of linear approximation when treating optimal control problems. The latter relates the deviations of the functional of quality of motion from its optimal value to the error of approximation. The system of quadratic equations for determing the vector of parameters "c" of the approximating plane is derived. Application of this...
We propose to use an original global optimization method for solving functional equations and specially partial differential equations. We know that a lot of biological or physical phenomena can be represented by such equations and thus a new method for their resolution will be useful.
Stochastic models are formulated for the optimal allocation of the safety stocks in raw material, in internal stocks on the different production levels and in finished goods. Simple approximate solutions are derived, too.
In this research, the strategies of information systems development are created at the corporate level. A corporate model is usually aimed to support general corporate planning and it describes simultaneously the relations between the finance, marketing and production functions of the firm. A multiattribute and multicriteria approach is used to assess the value of information at the corporate...
In this paper a probabilistic constrained linear programming pair of problems is introduced. We establish conditions under which the bilinear function involved in the objective functions of both problems has a saddlepoint.
Doubly stochastic Poisson processes whose unobservable intensity is a shot-noise process with random amplitude arise when each event of a primary Poisson process generates a random number of subsidiary events. We derive a stochastic partial differential equation for the unnormalized conditional moment generating function. This equation can be used for recursive compution of the minimum variance estimator...
This paper is concerned with the problem of time-minimal null-controllability of vibrating systems described by an abstract wave equation via distributed controls of bounded L2-norm. For the approximate solution of this problem Galerkin's method is applied and numerically demonstrated for the problem of time-minimal null-control of a rectangular vibrating plate.
In this paper the problem is considered of FCM histogram processing in the case of mixtures of two or more cell populations, which appears of great interest in diagnosis and treatment of tumor diseases. A suitable mathematical model is first developed in order to represent the pattern of DNA and fluorescence distribution in the samples. An optimization procedure is then proposed for the automatic...
Feedback control of a class of imperfectly known dynamical systems is considered. On the basis of known functional properties and bounds relating to the uncertain elements of the generic system and initially neglecting actuator and sensor dynamics, a feedback structure is first determined (using established Lyapunov-based techniques [1],[2]) which guarantees uniform ultimate boundedness of all motions...
It is shown that the vibrations of a viscoelastic beam can be steered to rest in minimal time using a L2(O,T)-boundary control realizing a prescribed norm-bound.
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