Markovian Process Algebra : Composition and Equivalence

نویسنده

  • Peter Buchholz
چکیده

Markovian Process Algebra (MPA) is a process algebra enhanced with exponential timing which allows the mapping of speciications on continuous time Markov chains (CTMCs). This paper introduces a compositional approach to compute the generator matrix of the CTMC underlying a MPA speciication which consists of the parallel composition of nite state agents. Furthermore two diierent equivalence relations covering quantitative and qualitative aspects are introduced. These equivalence relations are shown to be congruences according to parallel composition of agents.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-bisimulation-based Markovian behavioral equivalences

The behavioral equivalence that is typically used to relate Markovian process terms and to reduce their underlying state spaces is Markovian bisimilarity. One of the reasons is that Markovian bisimilarity is consistent with ordinary lumping. The latter is an aggregation for Markov chains that is exact, hence it guarantees the preservation of the performance characteristics across Markovian bisi...

متن کامل

On a Markovian Process AlgebraPeter

Process algebras extended by a concept to present timing behaviour have been very recently proposed as a good modelling tool for the combined analysis of qualitative and quantitative system behaviour. We introduce a a process algebra including exponentially distributed time delays and a systematic approach to compute the underlying labelled transition system and continuous time Markov process. ...

متن کامل

Exact Fluid Lumpability for Markovian Process Algebra

We study behavioural relations for process algebra with a fluid semantics given in terms of a system of ordinary differential equations (ODEs). We introduce label equivalence, a relation which is shown to induce an exactly lumped fluid model, a potentially smaller ODE system which can be exactly related to the original one. We show that, in general, for two processes that are related in the flu...

متن کامل

A Note on the Congruence Proof for Recursion in Markovian Bisimulation Equivalence

This note repairs some inaccuracies in the congruence proof for recursion previously developed for Marko-vian bisimulation equivalence. We provide a revised proof based on standard machinery obtained by smoothly extending Milner's technique based on bisimulation up to. The machinery we introduce for EMPA can be easily adapted in order to obtain accurate proofs for any other Markovian process al...

متن کامل

Compositional Markovian Modelling Using A Process Algebra

We introduce a stochastic process algebra, PEPA, as a high-level modelling paradigm for continuous time Markov chains (CTMC). Process algebras are mathematical theories which model concurrent systems by their algebra and provide apparatus for reasoning about the structure and behaviour of the model. Recent extensions of these algebras, associating random variables with actions, make the models ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1994