Quantitative analysis by means of discrete-state stochastic processes is hindered by the well-known phenomenon of state-space explosion, whereby the size of the state space may have an exponential growth with the number of objects in the model. When the stochastic process underlies a Markovian process algebra model, this problem may be alleviated by suitable notions of behavioural equiv-alence that induce lumping at the underlying continuous-time Markov chain, establishing an exact relation between a potentially much smaller aggregated chain and the original one. However, in the modelling of massively distributed computer systems, even aggregated chains may be still too large for efficient nu-merical analysis. Recently this problem has been...
Recent developments in the analysis of large Markov models facilitate the fast approximation of tran...
This dissertation is about the solution of Markovian stochastic process algebra (SPA) models and the...
Continuous time Markov chains (CTMCs) are among the most fundamental mathematical structures used fo...
Abstract Fluid or mean-field methods are approximate analytical techniques which have proven effecti...
Quantitative analysis by means of discrete-state stochastic processes is hindered by the well-known ...
Abstract Quantitative analysis by means of discrete-state stochastic processes is hindered by the we...
In Markovian process algebra, fluid semantics interpret a term with a system of coupled ordinary dif...
AbstractMarkovian process algebras, such as PEPA and stochastic π-calculus, bring a powerful composi...
Fluid semantics for Markovian process algebra have recently emerged as a computationally attractive ...
The performance modelling of large-scale systems using discrete-state approaches is fundamentally ha...
The exact performance analysis of large-scale software systems with discrete-state approaches is dif...
In this paper we report on progress in the use of stochastic process algebras for representing syste...
Markov chains offer a rigorous mathematical framework to describe systems that exhibit stochastic b...
Reasoning about the performance of models of software systems typically entails the derivation of me...
This thesis addresses problems which arise during performance evaluation of parallel and distributed...
Recent developments in the analysis of large Markov models facilitate the fast approximation of tran...
This dissertation is about the solution of Markovian stochastic process algebra (SPA) models and the...
Continuous time Markov chains (CTMCs) are among the most fundamental mathematical structures used fo...
Abstract Fluid or mean-field methods are approximate analytical techniques which have proven effecti...
Quantitative analysis by means of discrete-state stochastic processes is hindered by the well-known ...
Abstract Quantitative analysis by means of discrete-state stochastic processes is hindered by the we...
In Markovian process algebra, fluid semantics interpret a term with a system of coupled ordinary dif...
AbstractMarkovian process algebras, such as PEPA and stochastic π-calculus, bring a powerful composi...
Fluid semantics for Markovian process algebra have recently emerged as a computationally attractive ...
The performance modelling of large-scale systems using discrete-state approaches is fundamentally ha...
The exact performance analysis of large-scale software systems with discrete-state approaches is dif...
In this paper we report on progress in the use of stochastic process algebras for representing syste...
Markov chains offer a rigorous mathematical framework to describe systems that exhibit stochastic b...
Reasoning about the performance of models of software systems typically entails the derivation of me...
This thesis addresses problems which arise during performance evaluation of parallel and distributed...
Recent developments in the analysis of large Markov models facilitate the fast approximation of tran...
This dissertation is about the solution of Markovian stochastic process algebra (SPA) models and the...
Continuous time Markov chains (CTMCs) are among the most fundamental mathematical structures used fo...