We describe an investigation into spatial modelling by means of an ongoing case study, namely phase variation patterning in bacterial colony growth, forming circular colonies on a flat medium. We explore the application of two different geometries, rectangular and circular, for modelling and analysing the colony growth in 2.5 dimensions. Our modelling paradigm is that of coloured stochastic Pet...

In this study we extend stochastic-calculus allowing general probabilistic distributions to occur in its preexes. We show that no additional information is needed in the labels of transitions or in the states of systems to derive an enabling relation between transitions. Enabling is then used to compute the residual life times of parallel activities that are not immediately selected when enable...

Analytical modeling plays a crucial role in the analysis and design of computer systems. Stochastic Petri Nets represent a powerful paradigm, widely used for such modeling in the context of dependability, performance and performability. Many structural and stochastic extensions have been proposed in recent years to increase their modeling power, or their capability to handle large systems. This...

Whether a real system is approximated in a discrete or continuous simulation model depends on the more predominating type of variables determining the system’s behavior over time. If both discretely and continuously changing variables have to be considered, hybrid simulation techniques have to be applied, where discrete events have an influence on the otherwise continuously changing system stat...

Building smart grid for power system is a major challenge for safe, automated and energy efficient usage of electricity. The full implementation of the smart grid will evolve over time. However, before a new set of infrastructures are invested to build the smart grid, proper modeling and analysis is needed to avoid wastage of resources. Modeling also helps to identify and prioritize appropriate...

This paper presents an analytical approach for the analysis of non-Markovian stochastic Petri nets. The primary aim of the presented solution method is its universal applicability. Therefore, an approach based on discrete phase type distributions has been chosen to perform the necessary Markovization. For the handling of the resulting state space explosion problem, symbolic storage structures, ...

Petri nets in which random firing delays are associated with transitions whose firing is a n atomic opemtion are known under the name "stochastic Petri nets". These models are discussed, with the purpose of ezplaining why they were proposed in the performance evaluation field, why random delays with negative ezponential probability density functions are mainly used, and what are their strong an...

The “Reliability Analysis of an Anti-lock Braking System using Stochastic Petri Nets” is a work in progress and an extension to the work presented in the paper “Specification, Safety and Reliability Analysis Using Stochastic Petri Net Models”[9]. The current work attempts to model the Anti-lock braking sub-system of a vehicle system using Stochastic Petri Nets. The reliability analysis is under...

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...