TY - GEN
T1 - Strong stochastic stability for MANET mobility models
AU - Timo, R.
AU - Blackmore, K.
AU - Hanlen, L.
PY - 2007
Y1 - 2007
N2 - At the core of any MANET simulation is a mobility model. To help ensure reliable simulation results, it is of interest to know if the mobility model is stable: Will time-averaged measurements of "mobility model events" converge? For example, does the time-averaged distance between a pair of nodes converge as simulation time increases? In this paper, we study the stability of a class of discrete Random Waypolnt Mobility Models (RWMMs). This class includes the classic Random Waypolnt Mobility Model. We show that each mobility model in this class satisfies a pointwise ergodic theorem (a generalized strong law of large numbers); thus, all bounded time-averaged measurements of mobility model events converge with probability one. A corollary of this ergodic theorem shows that each mobility model in this class also possesses a time-stationary regime.
AB - At the core of any MANET simulation is a mobility model. To help ensure reliable simulation results, it is of interest to know if the mobility model is stable: Will time-averaged measurements of "mobility model events" converge? For example, does the time-averaged distance between a pair of nodes converge as simulation time increases? In this paper, we study the stability of a class of discrete Random Waypolnt Mobility Models (RWMMs). This class includes the classic Random Waypolnt Mobility Model. We show that each mobility model in this class satisfies a pointwise ergodic theorem (a generalized strong law of large numbers); thus, all bounded time-averaged measurements of mobility model events converge with probability one. A corollary of this ergodic theorem shows that each mobility model in this class also possesses a time-stationary regime.
UR - http://www.scopus.com/inward/record.url?scp=48149087809&partnerID=8YFLogxK
U2 - 10.1109/ICON.2007.4444054
DO - 10.1109/ICON.2007.4444054
M3 - Conference contribution
SN - 1424412307
SN - 9781424412303
T3 - ICON 2007 - Proceedings of the 2007 15th IEEE International Conference on Networks
SP - 13
EP - 18
BT - ICON 2007 - Proceedings of the 2007 15th IEEE International Conference on Networks
T2 - 15th IEEE International Conference on Networks, ICON 2007
Y2 - 19 November 2007 through 21 November 2007
ER -