Finding Multiple Length-Bounded Disjoint Paths in Wireless Sensor Networks
Kejia Zhang, Hong Gao
DOI: 10.4236/wsn.2011.312045   PDF    HTML     5,058 Downloads   8,146 Views   Citations


In a wireless sensor network, routing messages between two nodes s and t with multiple disjoint paths will increase the throughput, robustness and load balance of the network. The existing researches focus on finding multiple disjoint paths connecting s and t efficiently, but they do not consider length constraint of the paths. A too long path will be useless because of high latency and high packet loss rate. This paper deals with such a problem: given two nodes s and t in a sensor network, finding as many as possible disjoint paths connecting s and t whose lengths are no more than L, where L is the length bound set by the users. By now, we know that this problem is not only NP hard but also APX complete [1,2], which means that there is no PTAS for this problem. To the best of our knowledge, there is only one heuristic algorithm proposed for this problem [3], and it is not suitable for sensor network because it processes in a centralized way. This paper proposes an efficient distributed algorithm for this problem. By processing in a distributed way, the algorithm is very communication efficient. Simulation results show that our algorithm outperforms the existing algorithm in both aspects of found path number and communication efficiency.

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K. Zhang and H. Gao, "Finding Multiple Length-Bounded Disjoint Paths in Wireless Sensor Networks," Wireless Sensor Network, Vol. 3 No. 12, 2011, pp. 384-390. doi: 10.4236/wsn.2011.312045.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. Bley, “On the Complexity of Vertex-Disjoint Length-Restricted Path Problems,” Computational Complexity, Vol. 12, No. 3, 2003, pp. 131-149. doi:10.1007/s00037-003-0179-6
[2] D. Ronen and Y. Perl, “Heuristics for Finding a Maximum Number of Disjoint Bounded Paths,” Networks, Vol. 14, No. 4, 1984, pp. 531-544. doi:10.1002/net.3230140405
[3] K. Ishida, Y. Kakuda and T. Kikuno, “A Routing Protocol for Finding Two Node-Disjoint Paths in Computer Networks,” Proceedings of 1995 International Conference on Network Protocols, Tokyo, 7-10 November 1995, pp. 340-347. doi:10.1109/ICNP.1995.524850
[4] V. Shnayder, M. Hempstead, B. Chen, G. W. Allen and M. Welsh, “Simulating the Power Consumption of Large- Scale Sensor Network Applications,” Proceedings of the 2nd International Conference on Embedded Networked Sensor Systems, Baltimore, 3-5 November 2004, pp. 188- 200.
[5] P. Gupta and P. Kumar, “The Capacity of Wireless Networks,” IEEE Transactions on Information Theory, Vol. 46, No. 2, 2000, pp. 388-404. doi:10.1109/18.825799
[6] D. Ganesan, R. Govindan, S. Shenker and D. Estrin, “Highlyresilient, Energy-Efficient Multipath Routing in Wireless Sensor Networks,” ACM SIGMOBILE Mobile Computing and Communications Review, Vol. 5, No. 4, 2001, pp. 11-25. doi:10.1145/509506.509514
[7] A. Srinivas, G. Theory and E. Modiano, “Minimum Energy Disjoint Path Routing in Wireless Ad-Hoc Networks,” Proceedings of the 9th Annual International Conference on Mobile Computing and Networking, San Diego, 14-19 September 2003, pp. 122-133. doi:10.1145/938985.938999
[8] S. Li and Z. Wu, “Node-Disjoint Parallel Multi-Path Routing in Wireless Sensor Networks,” The 2nd International Conference on Embedded Software and Systems, Xi’an, 16-18 December 2005. p. 6.
[9] J. W. Baek, Y. J. Nam and D. W. Seo, “An Energyefficient k-Disjoint-Path Routing Algorithm for Reliable Wireless Sensor Networks,” Software Technologies for Embedded and Ubiquitous Systems of Lecture Notes in Computer Science, Vol. 4761, 2007, pp. 399-408. doi:10.1007/978-3-540-75664-4_42
[10] B. Deb, S. Bhatnagar and B. Nath, “Reinform: Reliable Information Forwarding Using Multiple Paths in Sensor Networks,” Proceedings of 28th Annual IEEE International Conference on Local Computer Networks, Bonn/ Konigswinter, 20-24 October 2003, pp. 406-415. doi:10.1109/LCN.2003.1243166
[11] R. Ogier, V. Rutenburg and N. Shacham, “Distributed Algorithms for Computing Shortest Pairs of Disjoint Paths, ” IEEE Transactions on Information Theory, Vol. 39, No. 2, 1993, PP. 443-455.
[12] Y. Chen, X. Guo, Q. Zeng and G. Chen, “AMR: A Multipath Routing Algorithm Based on Maximum Flow in Ad-Hoc Networks,” Acta Electronica Sinica, Vol. 32, No. 8, 2004, pp. 1297-1301.
[13] X. Fang, S. Shi and J. Li, “A Disjoint Multi-Path Routing Algorithm in Wireless Sensor Network,” Journal of Computer Research and Development, Vol. 46, No. 12, 2009, pp. 2053-2061.
[14] A. Itai, Y. Perl and Y. Shiloach, “The Complexity of Finding Maximum Disjoint Paths with Length Constraints,” Networks, Vol. 12, No. 3, 1982, pp. 277-286. doi:10.1002/net.3230120306
[15] D. Sidhu, R. Nair and S. Abdallah, “Finding Disjoint Paths in Networks,” SIGCOMM Computer Communication Review, Vol. 21, No. 4, 1991, pp. 43-51. doi:10.1145/115994.115998
[16] R. Bhandari, “Optimal Physical Diversity Algorithms and Survivable Networks,” Proceedings of the 2nd IEEE Symposium on Computers and Communications, Alexandria, 1-3 July 1997, pp. 433-441. doi:10.1109/ISCC.1997.616037
[17] S. Khuller and B. Schieber, “Efficient Parallel Algorithms for Testing Connectivity and Finding Disjoint s - t Paths in Graphs,” Proceedings of the 30th Annual Symposium on Foundations of Computer Science, Research Triangle Park, 30 October - 1 November 1989, pp. 288- 293. doi:10.1109/SFCS.1989.63492
[18] K. Iwama, C. Iwamoto and T. Ohsawa, “A Faster Parallel Algorithm for k-Connectivity,” Information Processing Letters, Vol. 61, No. 5, 1997, pp. 265-269. doi:10.1016/S0020-0190(97)00015-X
[19] J. W. Suurballe, “Disjoint Paths in a Network,” Networks, Vol. 4, No. 2, 1974, pp. 125-145. doi:10.1002/net.3230040204
[20] J. Edmonds, “Paths, Trees and Flowers,” Canadian Journal of mathematics, Vol. 17, No. 3, 1965, pp. 449-467.

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