The traac equations are a set of linear equations, which are the basis for the exact analysis of product form queueing networks, and the approximate analysis of non-product form queueing networks. Conditions characterising the structure of the network that guarantees the existence of a solution for the traac equations are therefore of great importance. This note provides a necessary and suucien...

The dynamical behaviors of stochastic neural networks have appeared as a novel subject of research and applications, such as optimization, control, and image processing(see [1-12]). Obviously, finding stability criteria for these neural networks becomes an attractive research problem of importance. Some well results have just appeared, for example, in [1-5], for stochastic delayed Hopfield neur...

Real-world distributed systems and networks are often unreliable and subject to random failures of its components. Such a stochastic behavior affects adversely the complexity of optimization tasks performed routinely upon such systems. In this work we investigate Monte Carlo solutions for a class of two-stage optimization problems in stochastic networks in which the expected value of resources ...

This paper presents a novel method to simplify stochastic workflow networks for their performance analysis under a unified computable framework. This method is based on two techniques: (1) module simplification, and (2) PH equivalence and PH approximation. In the first technique, simplified procedures for at least four crucial modules: sequential routing, parallel routing, selective routing and...

In this paper, the problem of stability analysis for a class of impulsive stochastic fuzzy neural networks with timevarying delays and reaction-diffusion is considered. By utilizing suitable Lyapunov-Krasovskii funcational, the inequality technique and stochastic analysis technique, some sufficient conditions ensuring global exponential stability of equilibrium point for impulsive stochastic fu...

In this paper, a transit assignment model has been developed on stochastic networks, with considering vehicle capacity and scheduled timetable. The stochastic network based transit assignment model is appropriate to apply for bus and metro networks altogether since it can distinguish between uncertain and reliable travel times characteristics by imposing stochastic parameters on links or lines....