Abstract
This paper examines the connection between loss networks without controls and Markov random field theory. The approach taken yields insight into the structure and computation of network equilibrium distributions, and into the nature of spatial dependence in networks. In addition, it provides further insight into some commonly used approximations, enables the development of more refined approximations, and permits the derivation of some asymptotically exact results.
Original language | English |
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Pages (from-to) | 403-414 |
Number of pages | 12 |
Journal | Journal of Applied Probability |
Volume | 36 |
Issue number | 2 |
Publication status | Published - Jun 1999 |
Keywords
- Erlang fixed point
- Loss networks
- Markov random fields
- Reduced load approximations