Path diminution in node-disjoint multipath routing for mobile ad hoc networks is unavoidable with single route discovery

In an ad hoc network, identification of all node-disjoint paths between a given pair of nodes is a challenging task. The phenomena that a protocol is not able to identify all node-disjoint paths that exist between a given pair of nodes is called path diminution. In this paper, we discuss that path diminution is unavoidable when a protocol discovers multiple node-disjoint paths in a single route discovery. We discuss schemes to mitigate path diminution. However, no such scheme is guaranteed to discover all node-disjoint paths that exist between a given pair of nodes. We have proved that one cannot devise an efficient algorithm that is guaranteed to compute all node-disjoint paths between a given pair of nodes in a single route discovery.

[1]  Clifford Stein,et al.  Introduction to Algorithms, 2nd edition. , 2001 .

[2]  Samir Ranjan Das,et al.  Performance of Multipath Routing for On-Demand Protocols in Mobile Ad Hoc Networks , 2001, Mob. Networks Appl..

[3]  Dimitri P. Bertsekas,et al.  Data Networks , 1986 .

[4]  A.M. Abbas,et al.  An Analytical Framework for Route Failure Time of Multiple Node-Disjoint Paths in Mobile Ad hoc Networks , 2006, Networks 2006. 12th International Telecommunications Network Strategy and Planning Symposium.

[5]  Satish K. Tripathi,et al.  A framework for reliable routing in mobile ad hoc networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[6]  Ronald L. Rivest,et al.  Introduction to Algorithms , 1990 .

[7]  Peter P. Pham,et al.  Performance analysis of reactive shortest path and multipath routing mechanism with load balance , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[8]  David A. Maltz,et al.  Dynamic Source Routing in Ad Hoc Wireless Networks , 1994, Mobidata.

[9]  J. Broch,et al.  Dynamic source routing in ad hoc wireless networks , 1998 .

[10]  Deepinder P. Sidhu,et al.  Finding disjoint paths in networks , 1991, SIGCOMM '91.

[11]  Ash Mohammad Abbas,et al.  Path diminution in disjoint multipath routing for mobile ad hoc networks , 2004, 2004 IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (IEEE Cat. No.04TH8754).

[12]  J. W. Suurballe.  Disjoint paths in a network , 1974, Networks.

[13]  Ash Mohammad Abbas,et al.  A Disjoint Alternate Path Routing for Mobile Ad hoc Networks , 2005 .

[14]  Charles E. Perkins,et al.  Ad-hoc on-demand distance vector routing , 1999, Proceedings WMCSA'99. Second IEEE Workshop on Mobile Computing Systems and Applications.