Short communication: Product-forms and functional rates

  • Authors:
  • Peter G. Harrison

  • Affiliations:
  • Department of Computing, Imperial College London, 180 Queens Gate, London SW7 2BZ, UK

  • Venue:
  • Performance Evaluation
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

A recent result of Fourneau et al. derives conditions under which the joint state of a set of Markov chains with functional rates has a product-form solution for its equilibrium state probabilities, when they exist. The present note shows how the Reversed Compound Agent Theorem (RCAT) obtains the same result in a few lines. In fact a more general result also follows.