CRC cards are unconventional method for identifying and describing classes, behavior and its responsibilities and collaborators of class. Representation of three categories of class, responsibilities and collaborators can give proper image of scenario. These cards are effective method for analyzing scenarios. With all positive features of CRC cards, of weaknesses of these cards are failure to s...

We present a general model of stochastic evolution in games played by large populations of anonymous agents. Agents receive opportunities to revise their strategies by way of independent Poisson processes. A revision protocol describes how the probabilities with which an agent chooses each of his strategies depend on his current payoff opportunities and the current behavior of the population. O...

We propose a model-based systems engineering framework for supervisory control of stochastic discrete-event systems with unrestricted nondeterminism. We intend to develop the proposed framework in four phases outlined in this paper. Here, we study in detail the first step which comprises investigation of the underlying model and development of a corresponding notion of controllability. The mode...

We introduce a new approach to model the behavior of neuronal signal transduction networks using stochastic differential equations. We present first a mathematical formulation for a stochastic model of protein kinase C pathway. Different kinds of numerical integration methods, including the explicit and implicit Euler–Maruyama methods, are used to solve the Itô form of the stochastic model. Sto...

it is known that a stochastic dierential equation (sde) induces two probabilisticobjects, namely a diusion process and a stochastic ow. while the diusion process isdetermined by the in nitesimal mean and variance given by the coecients of the sde,this is not the case for the stochastic ow induced by the sde. in order to characterize thestochastic ow uniquely the in nitesimal covariance give...

We study the ergodicity of backward product of stochastic and doubly stochastic matrices by introducing the concept of absolute infinite flow property. We show that this property is necessary for ergodicity of any chain of stochastic matrices, by defining and exploring the properties of a rotational transformation for a stochastic chain. Then, we establish that the absolute infinite flow proper...

The theory of multiplicative stochastic processes is contrasted with the theory of additive stochastic processes. The case of multiplicative factors which are purely random, Gaussian, stochastic processes is treated in detail. In a spirit originally introduced by theoretical work in nuclear magnetic resonance and greatly extended by Kubo, dissipative behavior is demonstrated, on the average, fo...

This paper compares fault position and Monte Carlo methods as the most common methods in stochastic assessment of voltage sags. To compare their abilities, symmetrical and unsymmetrical faults with different probability distribution of fault positions along the lines are applied in a test system. The voltage sag magnitude in different nodes of test system is calculated. The problem with the...