TY - GEN

T1 - On channel-discontinuity-constraint routing in wireless networks

AU - Sankararaman, Swaminathan

AU - Efrat, Alon

AU - Ramasubramanian, Srinivasan

AU - Agarwal, Pankaj K.

PY - 2010

Y1 - 2010

N2 - Multi-channel wireless networks are increasingly being employed as infrastructure networks, e.g. in metro areas. Nodes in these networks frequently employ directional antennas to improve spatial throughput. In such networks, given a source and destination, it is of interest to compute an optimal path and channel assignment on every link in the path such that the path bandwidth is the same as that of the link bandwidth and such a path satisfies the constraint that no two consecutive links on the path are assigned the same channel, referred to as "Channel Discontinuity Constraint" (CDC). CDC-paths are also quite useful for TDMA system, where preferably every consecutive links along a path are assigned different time slots. This paper contains several contributions. We first present an O(N2) distributed algorithm for discovering the shortest CDC-path between given source and destination. For use in wireless networks, we explain how spatial properties can be used for dramatically expedite the algorithm. This improves the running time of the O(N3) centralized algorithm of Ahuja et al. for finding the minimum-weight CDC-path. Our second result is a generalized t-spanner for CDC-path; For any θ > 0 we show how to construct a sub-network containing only O(N/θ ) edges, such that that length of shortest CDC-paths between arbitrary sources and destinations increases by only a factor of at most (1-2 sin θ/2 )-2. This scheme can be implemented in a distributed manner using the ideas of [3] with a message complexity of O(n log n) and it is highly dynamic, so addition/deletion of nodes are easily handled in a distributed manner. An important conclusion of this scheme is in the case of directional antennas are used. In this case, it is enough to consider only the two closest nodes in each cone.

AB - Multi-channel wireless networks are increasingly being employed as infrastructure networks, e.g. in metro areas. Nodes in these networks frequently employ directional antennas to improve spatial throughput. In such networks, given a source and destination, it is of interest to compute an optimal path and channel assignment on every link in the path such that the path bandwidth is the same as that of the link bandwidth and such a path satisfies the constraint that no two consecutive links on the path are assigned the same channel, referred to as "Channel Discontinuity Constraint" (CDC). CDC-paths are also quite useful for TDMA system, where preferably every consecutive links along a path are assigned different time slots. This paper contains several contributions. We first present an O(N2) distributed algorithm for discovering the shortest CDC-path between given source and destination. For use in wireless networks, we explain how spatial properties can be used for dramatically expedite the algorithm. This improves the running time of the O(N3) centralized algorithm of Ahuja et al. for finding the minimum-weight CDC-path. Our second result is a generalized t-spanner for CDC-path; For any θ > 0 we show how to construct a sub-network containing only O(N/θ ) edges, such that that length of shortest CDC-paths between arbitrary sources and destinations increases by only a factor of at most (1-2 sin θ/2 )-2. This scheme can be implemented in a distributed manner using the ideas of [3] with a message complexity of O(n log n) and it is highly dynamic, so addition/deletion of nodes are easily handled in a distributed manner. An important conclusion of this scheme is in the case of directional antennas are used. In this case, it is enough to consider only the two closest nodes in each cone.

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U2 - 10.1109/INFCOM.2010.5462188

DO - 10.1109/INFCOM.2010.5462188

M3 - Conference contribution

AN - SCOPUS:77953311257

SN - 9781424458363

T3 - Proceedings - IEEE INFOCOM

BT - 2010 Proceedings IEEE INFOCOM

T2 - IEEE INFOCOM 2010

Y2 - 14 March 2010 through 19 March 2010

ER -