Many modern computer and communication systems result in large, complex performance models. The compositional approach ooered by stochastic process algebra constructs a model from submodels which are smaller and more easily understood. This gives the model a clear component-based structure. In this paper we present cases when this structure may be used to inform the solution of the model, leadi...

In many research projects on modeling and analyzing biological pathways, the Petri net has been recognized as a promising method for representing biological pathways. From the pioneering works by Reddy et al., 1993, and Hofestädt, 1994, that model metabolic pathways by traditional Petri net, several enhanced Petri nets such as colored Petri net, stochastic Petri net, and hybrid Petri net have b...

The growing complexity of modern systems has escalated the need for performance metrics. Stochastic models such as queuing networks and stochastic Petri nets have been used to model these systems so that their performance measures can be evaluated analytically. Product-form solutions are equilibrium state probabilities in networks of stochastic nodes (e.g. queues) in the form of a product of te...

Over the last two decades many techniques have been developed to specify and evaluate Markovian dependability models. Most often, these Markovian models are automatically derived from stochastic Petri nets, stochastic process algebras, or stochastic activity networks. However, whereas the model specification has become very comfortable, the specification of the dependability measures of interes...

Stochastic Petri nets of various types (SPN, GSPN, ESPN, DSPN etc.) are recognized as useful modeling tools for analyzing the performance and reliability of systems. The analysis of such Petri nets proceeds by utilizing the underlying continuous-time stochastic processes continuous-time Markov chains for SPN and GSPN, semi-Markov processes for a subset of ESPNs and Markov regenerative processes...

In this paper, we propose astochastic Petri net model P-timed Workflow (WPTSPN) to specify, verify, and analyze a business process (BP) of Flexible Manufacturing System (FMS). After formalizing the semantics our model, illustrate how verifysome its properties (reachability, safety, boundedness, liveness, correctness, alive tokens, security) in P-Timed context. Next, validate relevance proposed ...

Biological systems are often very complex so that an appropriate formalism is needed for modeling their behavior. Hybrid Petri Nets, consisting of time-discrete Petri Net elements as well as continuous ones, have proven to be ideal for this task. Therefore, a new Petri Net library was implemented based on the object-oriented modeling language Modelica which allows the modeling of discrete, stoc...