Dynamic Tree Routing under the "Matching with Consumption" Model (1996)
| Citations: | 4 - 2 self |
BibTeX
@MISC{Pantziou96dynamictree,
author = {Grammati E. Pantziou and Alan Roberts and Antonis Symvonis},
title = {Dynamic Tree Routing under the "Matching with Consumption" Model},
year = {1996}
}
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Abstract
. In this paper we consider dynamic routing on trees under the "matching with consumption" routing model, a natural extension of the matching routing model introduced by Alon, Chung and Graham [1, 2], which allows for the consumption of packets when they reach their destination. We present an asymptotically optimal on-line algorithm that routes k packets to their destination within d(k \Gamma 1) + d \Delta dist routing steps where d is the degree of tree T on which the routing takes place and dist is the maximum distance some packet has to travel. We present an off-line algorithm that solves the same problem within 2(k \Gamma 1) + dist steps. Versions of both the on-line and the off-line algorithms which avoid live-lock situations are also provided. We establish a close relation between the "matching with consumption" and the hot-potato routing models, and we exploit it in the analysis of our routing algorithms. 1 Introduction In a packet routing problem on a connected undirected gra...
