in this paper, intelligent algorithm of ALATO based on Learning Automata using Adaptive Stochastic Petri Net presented to optimize the time in Economical Grid. Adaptive Stochastic Petri nets based on learning automata predicts the following optimized state through getting information from former system states and dynamic environmental reactions, makes the system current states appeared based on...

Performance analysis can be carried out in several ways, especially in case of Markovian models. In order to interpret high level of abstraction, we often use modeling tools like timed Petri nets (TPNs). Although some subclasses of TPNs (e.g. stochastic Petri nets (SPNs) [17, 19]) can be handled analytically, a general timed Petri net is hard to evaluate via numerical analysis. However, the sim...

In order to assist the performance evaluation of complex stochastic models, automatic program tools are developed since a long time. An effective model description language, supported by several software tools, is the stochastic Petri Net (SPN). But the attention to the analytical description and the numerical analysis of non-Markovian stochastic Petri Net models arose only recently. There are ...

Failures are very often affected by many other factors besides the time. In reality, very often, these factors are neglected, leading to misleading conclusions about reliability of stochastic systems. In this paper we identify the key factors that contribute to failure rates of various stochastic systems. We further formalize them and provide solutions for their modeling using stochastic Petri ...

System level understanding of the repetitive cycle of cell growth and division is crucial for disclosing many unexpected principles of biological organisms. The deterministic or stochastic approach are alone not sufficient to study such cell regulation due to the complex reaction network and the existence of reactions with different time scales. Thus, integration of both approaches is necessary...

Traditional mathematical models are focussed on the construction of kinetic models by solving algebraic equations for steady states and systems of differential equations for time-dependent states (for a review see Heinrich & Schuster [4]). Petri net theory exhibits a mathematical formalism to model, analyze, and simulate discrete event systems with inherent concurrency (Peterson [7], Starke [9]...

We compare discrete-state stochastic Petri nets (SPNs) and fluid stochastic Petri nets (FSPNs) with a mixed discrete-continuous state space in their application to openloop video broadcasting systems. For both classes, we present models of the Video-on-Demand client-server system, which generally capture all relevant system aspects in a concise and graphical way. Differences in model design as ...

Performance/dependability evaluation via modeling results in fast and economic system development. Traditionally, simulations have been used to evaluate realistic systems but do not yield exact results. Analytic solution methods can yield exact results, but can su er from the state-space explosion problem. A reduced base model construction technique for stochastic activity networks, which explo...

Computer-aided modeling has become an accepted technique for predicting the performance and dependability of computer-communication networks. Many model formalisms have been proposed for this purpose, and have achieved varying degrees of success. One particular model type, stochastic Petri nets, has received considerable attention during the last ten years. Several classes of models of this typ...

The advantages of the compositional structure within the Markovian process algebra PEPA for model construction and simplification have already been demonstrated. In this paper we show that for some PEPA models this structure may also be used to advantage during the solution of the model. Several papers offering product form solutions of stochastic Petri nets have been published during the last ...