Semi-product-form solution for models with state dependent rates (2010)

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

    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.

      • Date: 6-7th September 2010
      • Conference Name: 9th Workshop on Process Algebra and Stochastically Timed Activities
      • Publication type: Conference Proceedings (inc. abstract)
      • Bibliographic status: Published

        Dr Nigel Thomas
        Reader in Performance Engineering