Memoryless routing in convex subdivisions: Random walks are optimal
نویسندگان
چکیده
منابع مشابه
Memoryless routing in convex subdivisions: Random walks are optimal
A memoryless routing algorithm is one in which the decision about the next edge on the route to a vertex t for a packet currently located at vertex v is made based only on the coordinates of v, t, and the neighbourhood, N(v), of v. The current paper explores the limitations of such algorithms by showing that, for any (randomized) memoryless routing algorithm A, there exists a convex subdivision...
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In various wireless networking settings, node locations determine a network’s topology, allowing the network to be modelled by a geometric graph drawn in the plane. Without any additional information, local geometric routing algorithms can guarantee delivery to the target node only in restricted classes of geometric graphs, such as triangulations. In order to guarantee delivery on more general ...
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We consider online routing algorithms for finding paths between the vertices of plane graphs. We show (1) there exists a routing algorithm for arbitrary triangulations that has no memory and uses no randomization, (2) no equivalent result is possible for convex subdivisions, (3) there is no competitive online routing algorithm under the Euclidean distance metric in arbitrary triangulations, and...
متن کاملRandom Walks in Routing Landscapes
In this paper we present a combinatorial optimisation view on the routing problem for connectionless packet networks by using the metaphor of a landscape. We examine the main properties of the routing landscapes as we define them and how they can help us on the evaluation of the problem difficulty and the generation of effective algorithms. We also present the random walk statistical technique ...
متن کاملRandom Walks in Routing Landscapes
In this paper we present a combinatorial optimisation view on the routing problem for connectionless packet networks by using the metaphor of a landscape. We examine the main properties of the routing landscapes as we define them and how they can help us on the evaluation of the problem difficulty and the generation of effective algorithms. We also present the random walk statistical technique ...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2012
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2011.12.005