Skip to main content
padlock icon - secure page this page is secure

Geometrical Optics Approach to Markov-Modulated Fluid Models

Buy Article:

$59.00 + tax (Refund Policy)

We analyze asymptotically a differential-difference equation, that arises in a Markov-modulated fluid model. Here, there are N identical sources that turn on and off, and when on they generate fluid at unit rate into a buffer, which processes the fluid at a rate c < N . In the steady-state limit, the joint probability distribution of the buffer content and the number of active sources satisfies a system of N+ 1 ODEs, that can also be viewed as a differential-difference equation analogous to a backward/forward parabolic PDE. We use singular perturbation methods to analyze the problem for N→∞ , with appropriate scalings of the two state variables. In particular, the ray method and asymptotic matching are used.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Affiliations: 1: State University of New York at New Paltz 2: University of Illinois at Chicago

Publication date: January 1, 2005

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more