Abstract
We present an analytical framework and statistical models to accurately characterize the lifetime of a wireless link and multi-hop paths in mobile ad hoc networks (MANET). We show that the lifetimes of links and paths can be computed through a two-state Markov model. We also show that the analytical solution follows closely the results obtained through discrete-event simulations for two mobility models, namely, random direction and random waypoint mobility models. We apply these models to study practical implications of link lifetime on routing protocols. First, we compute optimal packet lengths as a function of mobility, and show that significant throughput improvements can be attained by adapting packet lengths to the mobility of nodes in a MANET. Second, we show how the caching strategy of on-demand routing protocols can benefit from considering the link lifetimes in a MANET. Finally,we summarize all the analytical results into a comprehensive performance analysis on throughput, delay and storage.
Similar content being viewed by others
Notes
In mobile ad hoc network, the traffic is generated randomly and nodes are moving randomly. When a node initiate traffic to other nodes, the target node could be anywhere in the network and the realys could also be anywhere in the communication range. Therefore, a uniform distribution assumption naturally fits into the scenario.
We recall that \(f(n)=\Uptheta(g(n)\) means there exist positive constants c 1,c 2 and M, such that \(0 \leq c_1 g(n) \leq f(n) \leq c_2 g(n)\forall n > M\).
Equivalently, we can transfer K to the other side of this equation. It means that when the number of hops increases for a constant bandwidth B, the packet length should decrease.
For delay to be finite, the arrival rate must be strictly less than the service rate but in this case, symmetric movements lead to a fully loaded tandem queue. To avoid this, we assume that if the available throughput is \(\Uplambda (n),\) each source generates traffic at a rate \((1-\epsilon)\Uplambda (n)\), for some ε > 0.
References
Carvalho, M., & Garcia-Luna-Aceves, J. J. (2004, September). A scalable model for channel access protocols in multihop ad hoc networks. Proceedings of the 10th annual international conference on Mobile computing and networking, pp. 330–344.
Wu, L., & Varshney, P. (1999). Performance analysis of csma and btma protocols in multihop networks (i) single channel case. Information Sciences—Informatics and Computer Science: An International Journal, 120, 159–177.
McDonald, A. B., & Znati, T. (1999, September). A path availability model for wireless ad-hoc networks. Proceedings of IEEE wireless communications and networking conference, pp. 35–40.
Tsirigos, A., & Haas, Z. J. (2004). Analysis of multipath routing. part i. The effect on the packet delivery ratio. IEEE Transactions on Wireless Communications, 3(1), 138–146.
Samar, P., & Wicker, S. B. (2004, May). On the behavior of communication links of a node in a multi-hop mobile environment. Proceedings of the 5th ACM international symposium on mobile ad hoc networking and computing, pp. 148–156.
Samar, P., & Wicker, S. B. (2006). Link dynamics and protocol design in a multi-hop mobile environment. IEEE Transactions on Mobile Computing, 5(9), 1156–1172.
Wu, X., Sadjadpour, H. R., & Garcia-Luna-Aceves, J. J. (2007, April). Link lifetime as a function of node mobility in manets with restricted mobility: Modeling and applications. Proceedings of 5th international symposium on modeling and optimization in mobile, ad hoc, and wireless networks.
Grossglauser, M., & Tse, D. (2001, April). Mobility increases the capacity of ad-hoc wireless network. Proceedings of twentieth annual joint conference of the IEEE computer and communications societies, pp. 1360–1369.
Grossglauser, M., & Tse, D. (2002). Mobility increases the capacity of adhoc wireless networks. IEEE/ACM Transactions on Networking, 10(4), 477–486.
Gammal, A. E., Mammen, J., Prabhaker, B., & Shah, D. (2004, March). Throughput-delay trade-off in wireless networks. Proceedings of IEEE INFOCOM, pp. 464–475.
Le Boudec, J.-Y., & Vojnovic, M. (2006). The random trip model: stability, stationary regime, and perfect simulation. IEEE/ACM Transactions on Networking, 14(6), 1153–1166.
Jiang, S., He, D., & Rao, J. (2001, April). A prediction-based link availability estimation for mobile ad hoc networks. Proceedings of IEEE INFOCOM, pp. 1745–1752.
Jiang, S., He, D., & Rao, J. (2005). A prediction-based link availability estimation for routing metrics in manets. IEEE/ACM Transactions on Networking, 13(6), 1302–1312.
McDonald, A. B., & Znati, T. F. (1999). A mobility-based framework for adaptive clustering in wireless ad hoc networks. IEEE Journal on Selected Areas in Communications, 17(8), 1466–1487.
Bettstetter, C. (2001). Mobility modeling in wireless network: categorization, smooth movement and border effects. ACM Mobile Computing and Communication Review, 5, 55–67.
Guerin, R. (1987). Channel occupancy time distribution in a cellular ratio system. IEEE Trans. on Vehicular Technology, 35(3), 89–99.
Bansal, N., & Liu, Z. (2003, April). Capacity, delay and mobility in wireless ad-hoc networks. Proceedings of IEEE INFOCOM, pp. 1553–1563.
Hong, D., & Rappaport, S. S. (1986). Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and non prioritized handoff procedures. IEEE Transactions on Vehicular Technology, 35(3), 77–92.
Han, Y., La, R. J. (2006, April). Path selection in mobile ad-hoc networks and distribution of path duration. Proceedings of IEEE INFOCOM, pp. 1–12.
Han, Y., La, R. J., Makowski, A. M., & Lee, S. (2006). Distribution of path durations in mobile ad-hoc networks: Palm’s theorem to the rescue. Computer Networks, 50(12), 1887–1900.
Groenevelt, R., Koole, G., & Nain, P. (2005). Message delay in mobile ad hoc networks. Performance Evaluation, 62, 210–228.
Perkins, C. E., & Royer, E. M. (1999, February). Ad hoc on-demand distance vector routing. Proceedings of the 2nd IEEE workshop on mobile computing systems and applications, pp. 90–100.
Johnson, D., Hu, Y., & Maltz, D. (2004). The dynamic source routing protocol for mobile ad hoc networks (dsr). Internet Draft, draft-ietf-manet-dsr-10.txt, IETF MANET Working Group.
Kleinrock, L. (1975). Queuing Systems, Volume 1: Theory. John Wiley & Sons, Inc.
Sadagopan, N., Bai, F., Krishnamachari, B., & Helmy, A. (2003, June). Paths: Analysis of path duration statistics and their impact on reactive manet routing protocols. Proceedings of the 4th ACM international symposium on mobile adhoc networking and computing, pp. 245–256.
Turgut, D., Das, S., & Chatterjee, M. (2001, May). Longevity of routes in mobile ad hoc networks. Proceedings of vehicular technology conference, pp. 2833–2837.
Acknowledgements
The authors would like to thank Dr. Robin Groenevelt and Prof. Philippe Nain of INRIA Institute for their kind help on providing the simulation environment.
This work was supported in part by the US Army Research Office under grants W911NF-04-1-0224, W911NF-05-1-0246 and by the Baskin Chair of Computer Engineering. Opinion, interpretations, conclusions and recommendations are those of the authors and are not necessarily endorsed by the Department of Defense.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, X., Sadjadpour, H.R. & Garcia-Luna-Aceves, J.J. From link dynamics to path lifetime and packet-length optimization in MANETs. Wireless Netw 15, 637–650 (2009). https://doi.org/10.1007/s11276-007-0086-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11276-007-0086-x