Closed-Loop Modeling of the Frame Collision Probability under the IEEE 802.11b DCF

The frame collision probability is an important parameter of the performance modeling of the IEEE 802.11b DCF. This probability has long been assumed to be independent to the medium access control. The validity of this assumption has not been scrutinized. In this paper, we modeled the 802.11b DCF by a closed-loop model. The transient expressions of the collision probability is first derived from the closed-loop model, and its time-invariant expression is further derived. The time-invariant expression is dependent only on the number of contending devices. The validity of our modeling is demonstrated by comparing the analytical results with the measurement results obtained from simulations. The analytical results closely approximate the measurement results.

[1]  Dee Denteneer,et al.  Delay models for contention trees in closed populations , 2003, Perform. Evaluation.

[2]  Andrzej Duda,et al.  Idle sense: an optimal access method for high throughput and fairness in rate diverse wireless LANs , 2005, SIGCOMM '05.

[3]  Biplab Sikdar,et al.  Queueing analysis and delay mitigation in IEEE 802.11 random access MAC based wireless networks , 2004, IEEE INFOCOM 2004.

[4]  J. J. Garcia-Luna-Aceves,et al.  A scalable model for channel access protocols in multihop ad hoc networks , 2004, MobiCom '04.

[5]  Eitan Altman,et al.  A queueing model for HTTP traffic over IEEE 802.11 WLANs , 2006, Comput. Networks.

[6]  Ayalvadi J. Ganesh,et al.  Performance Analysis of Contention Based Medium Access Control Protocols , 2006, IEEE Transactions on Information Theory.

[7]  A. Girotra,et al.  Performance Analysis of the IEEE 802 . 11 Distributed Coordination Function , 2005 .

[8]  Marceau Coupechoux.  Modeling of a slotted MAC protocol for MANETs , 2003 .

[9]  S. Dharmaraja,et al.  Performance analysis of IEEE 802.11 DCF with stochastic reward nets , 2007, Int. J. Commun. Syst..

[10]  Ahmed Helmy,et al.  Performance Limits and Analysis of Contention-based IEEE 802.11 MAC , 2006, Proceedings. 2006 31st IEEE Conference on Local Computer Networks.

[11]  V. Bharghavan,et al.  MACAW: A media access protocol for wireless LANs , 1994 .

[12]  Yuguang Fang,et al.  Performance analysis of IEEE 802.11 DCF in binary symmetric channels , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..