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Semi-product-form solution for models with state dependent rates

Lookup NU author(s): Dr Nigel ThomasORCiD

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Abstract

In this paper we consider the problem of finding a decomposed solution to a Markov model where the action rates may depend on the global state space. To do this we consider regular cycles in the underlying state space and show that a semi-product form solution exists when the functions describing the action rates have specific forms. The approach is illustrated with a simple queueing example although it clearly extends to more general cases. The results for semi-product form solutions are not entirely new, however the method by which they are derived is both novel and intuitive.

Publication metadata

Author(s): Thomas N, Marin A, Harrison P

Editor(s): Bradley, J., Hayden, R.

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: 9th Workshop on Process Algebra and Stochastically Timed Activities

Year of Conference: 2010

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