Diffusion Approximations for Complex Repair Systems.
Abstract
For many stochastic models in applied probability, complicated Markov chains arise which are impossible to analyze directly. One approach to this problem is to show that a sequence of Markov chains with appropriate time and state scales converges in distribution to a limiting diffusion process. In these instances, the limiting diffusion process may hold out the only hope for providing useful approximations to practical problems. Here the authors present a heuristic development for convergence to a special class of limiting diffusions: multivariate Ornstein-Uhlenbeck processes. These results are then applied to three complex repair systems. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1973
- Accession Number
- AD0771440
Entities
People
- Atam P. Lalchandani
- Donald Iglehart