Optimal Transmission Capacity of Ad Hoc Networks with Packet Retransmissions

In this paper we investigate the transmission capacity of wireless networks when packet retransmissions are allowed. We consider networks modeled as a homogeneous Poisson point process operating under different medium access control schemes, namely unslotted and slotted ALOHA, and CSMA with carrier sensing at the transmitter and with carrier sensing at the receiver. For these scenarios, we derive analytical expressions to compute the maximum number of retransmissions attempts that leads to the optimal transmission capacity. Numerical results based on our formulation show that CSMA with carrier sensing at the receiver (asynchronous transmissions) reaches the highest maximum transmission capacity when traffic intensity is low, while slotted ALOHA (synchronous transmissions) is the best choice when traffic intensity is high.

[1]  Jeffrey G. Andrews,et al.  Random access transport capacity , 2009, IEEE Transactions on Wireless Communications.

[2]  Matti Latva-aho,et al.  Maximising transmission capacity of ad hoc networks via transmission system design , 2011 .

[3]  Jeffrey G. Andrews,et al.  Rethinking information theory for mobile ad hoc networks , 2007, IEEE Communications Magazine.

[4]  Paulo Cardieri,et al.  A Survey on the Characterization of the Capacity of Ad Hoc Wireless Networks , 2011 .

[5]  Michel Daoud Yacoub,et al.  Foundations of Mobile Radio Engineering , 1993 .

[6]  Matti Latva-aho,et al.  On the optimal design of MAC protocols in multi-hop ad hoc networks , 2010, 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks.

[7]  François Baccelli,et al.  Stochastic Geometry and Wireless Networks, Volume 2: Applications , 2009, Found. Trends Netw..

[8]  Panganamala Ramana Kumar,et al.  Scaling Laws for Ad Hoc Wireless Networks: An Information Theoretic Approach , 2006, Found. Trends Netw..

[9]  David Tse,et al.  Mobility increases the capacity of ad-hoc wireless networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[10]  François Baccelli,et al.  Stochastic geometry and wireless networks , 2009 .

[11]  Matti Latva-aho,et al.  Efficiency of Wireless Networks under Different Hopping Strategies , 2012, IEEE Transactions on Wireless Communications.

[12]  Jeffrey G. Andrews,et al.  The Effect of Fading, Channel Inversion, and Threshold Scheduling on Ad Hoc Networks , 2007, IEEE Transactions on Information Theory.

[13]  Jeffrey G. Andrews,et al.  High-SIR Transmission Capacity of Wireless Networks With General Fading and Node Distribution , 2011, IEEE Transactions on Information Theory.

[14]  Jeffrey G. Andrews,et al.  Transmission Capacity of Wireless Ad Hoc Networks With Successive Interference Cancellation , 2007, IEEE Transactions on Information Theory.

[15]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[16]  Nihar Jindal,et al.  Improving the Performance of Wireless Ad Hoc Networks Through MAC Layer Design , 2011, IEEE Transactions on Wireless Communications.

[17]  Jeffrey G. Andrews,et al.  Stochastic geometry and random graphs for the analysis and design of wireless networks , 2009, IEEE Journal on Selected Areas in Communications.

[18]  Jeffrey G. Andrews,et al.  Transmission capacity of wireless ad hoc networks with outage constraints , 2005, IEEE Transactions on Information Theory.

[19]  Rahul Vaze.  Throughput-Delay-Reliability Tradeoff with ARQ in Wireless Ad Hoc Networks , 2011, IEEE Transactions on Wireless Communications.