Toggle Main Menu Toggle Search

Open Access padlockePrints

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

Lookup NU author(s): Dr Nigel Thomas

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


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


Share