Markov-modulated stochastic recursive equations with applications to delay-tolerant networks |
| |
Authors: | Dieter Fiems Eitan Altman |
| |
Affiliation: | 1. Department of Telecommunications and Information Processing, Ghent University, St-Pietersnieuwstraat 41, 9000 Gent, Belgium;2. INRIA, BP93, 06902 Sophia Antipolis, France |
| |
Abstract: | We investigate a class of Markov-modulated stochastic recursive equations. This class includes multi-type branching processes with immigration as well as linear stochastic equations. Conditions are established for the existence of a stationary solution and expressions for the first two moments of this solution are found. Furthermore, the transient characteristics of the stochastic recursion are investigated: we obtain the first two moments of the transient solution as well. Finally, to illustrate our approach, the results are applied to the performance evaluation of packet forwarding in delay-tolerant mobile ad-hoc networks. |
| |
Keywords: | Delay tolerant network Semi-linear stochastic recursion Branching process |
本文献已被 ScienceDirect 等数据库收录! |
|