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2010
ACM

A general result for deriving product-form solutions in markovian models

14 years 6 months ago
A general result for deriving product-form solutions in markovian models
In this paper we provide a general method to derive productform solutions for stochastic models. We take inspiration from the Reversed Compound Agent Theorem [14] and we provide a different formulation using labeled automata, a generalization which encompasses a bigger class of productform solutions, and a new proof based on the solution of the system of global balance equations. We show that our result may have practical applications in the performance evaluation of complex software and hardware architectures and can be the base for the development of new analysis tools or the extension of existing ones. Categories and Subject Descriptors C.4 [PERFORMANCE OF SYSTEMS]: Modeling techniques General Terms Performance Keywords Queuing theory, Product form solutions.
Andrea Marin, Maria Grazia Vigliotti
Added 18 May 2010
Updated 18 May 2010
Type Conference
Year 2010
Where WOSP
Authors Andrea Marin, Maria Grazia Vigliotti
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