Stochastic Graph Transformation Systems
نویسندگان
چکیده
In distributed and mobile systems with volatile bandwidth and fragile connectivity, non-functional aspects like performance and reliability become more and more important. To formalize, measure, and predict such properties, stochastic methods are required. At the same time such systems are characterized by a high degree of architectural reconfiguration. Viewing the architecture of a distributed system as a graph, this is naturally modeled by graph transformations. To combine these two views, in this paper we introduce stochastic graph transformation systems associating with each rule its application rate— the rate of the exponential distribution governing the delay of its application. Beside the basic definitions and a motivating example, we derive continuous-time Markov chains, establish a link with continuous stochastic logic, deal with the problem of abstraction through graph isomorphisms, and discuss the analysis of properties by means of an experimental tool chain.
منابع مشابه
ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH
Let $G$ be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph $G$, by using the weights of vertices and edges of $G$. We examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. At the end it is shown that, for $rin [0,+infty]$, t...
متن کاملA Hybrid Meta-heuristic Approach to Cope with State Space Explosion in Model Checking Technique for Deadlock Freeness
Model checking is an automatic technique for software verification through which all reachable states are generated from an initial state to finding errors and desirable patterns. In the model checking approach, the behavior and structure of system should be modeled. Graph transformation system is a graphical formal modeling language to specify and model the system. However, modeling of large s...
متن کاملParallelism and Concurrency of Stochastic Graph Transformations
Graph transformation systems (GTS) have been proposed for high-level stochastic modelling of dynamic systems and networks. The resulting systems can be described as semi-Markov processes with graphs as states and transformations as transitions. The operational semantics of such processes can be explored through stochastic simulation. In this paper, we develop the basic theory of stochastic grap...
متن کاملModel-based Simulation of VoIP Network Reconfigurations using Graph Transformation Systems
We address the modelling and validation of P2P networks with special attention for problems related to VoIP services, focusing particularly on Skype. We use generalised stochastic graph transformation systems and associated stochastic simulation techniques based on generalised semiMarkov processes.
متن کاملStochastic Analysis of Graph Transformation Systems: A Case Study in P2P Networks
In distributed and mobile systems with volatile bandwidth and fragile connectivity, non-functional aspects like performance and reliability become more and more important. To formalise, measure, and predict these properties, stochastic methods are required. At the same time such systems are characterised by a high degree of architectural reconfiguration. Viewing the architecture of a distribute...
متن کاملStochastic Modelling and Simulation of Mobile Systems
Distributed systems with mobile components are naturally modelled by graph transformations. To formalise and predict properties such as performance or reliability of such systems, stochastic methods are required. Stochastic graph transformations allow the integrated modelling of these two concerns by associating with each rule and match a probability distribution governing the delay of its appl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004