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Space-Time Rout<strong>in</strong>g <strong>in</strong> Ad Hoc Networks ⋆Henri Dubois-Ferrière 1 , Matthias Grossglauser 1 , and Mart<strong>in</strong> Vetterli 1,21 School of <strong>Computer</strong> and Communication <strong>Science</strong>s, EPFL, Lausanne, Switzerland{Henri.Dubois-Ferriere,Matthias.Grossglauser,Mart<strong>in</strong>.Vetterli}@epfl.ch2 Department of EECS, University of California Berkeley, USAAbstract. We <strong>in</strong>troduce Space-Time Rout<strong>in</strong>g (STR), a new approachto rout<strong>in</strong>g <strong>in</strong> mobile ad hoc networks. In STR, the age of rout<strong>in</strong>g state isconsidered jo<strong>in</strong>tly with the distance to the dest<strong>in</strong>ation. We give a generaldescription of STR, which can accommodate various temporal (age) andspatial (distance) metrics. Our formulation of STR describes a family ofrout<strong>in</strong>g algorithms, parameterized <strong>by</strong> a choice of node clock scheme, aneighbor-distance function and a b<strong>in</strong>d<strong>in</strong>g spatio-temporal metric whichallows the algorithm to compare potential routes tak<strong>in</strong>g <strong>in</strong>to accountboth their age and their distance to the dest<strong>in</strong>ation. We discuss possible<strong>in</strong>stantiations of a Space-Time Rout<strong>in</strong>g protocol. In particular, we reviewFRESH (FResher Encounter SearcH), a rout<strong>in</strong>g algorithm us<strong>in</strong>g temporal<strong>in</strong>formation only, and GREP (Generalized Route EstablishmentProtocol), a rout<strong>in</strong>g protocol which uses jo<strong>in</strong>tly spatial and temporal <strong>in</strong>formationabout routes. We discuss a third STR algorithm us<strong>in</strong>g onlyphysical notions of space and time, and f<strong>in</strong>ally show that STR providesloop-free routes.1 IntroductionAn ad hoc network is a communication medium where users or nodes also providethe <strong>in</strong>frastructure for communication. That is, nodes play both the role ofterm<strong>in</strong>als (i.e. source and dest<strong>in</strong>ation of messages) and of relays. Thus, a messagetraverses an ad hoc network <strong>by</strong> be<strong>in</strong>g relayed from node to node, until itreaches its dest<strong>in</strong>ation. When, <strong>in</strong> addition, nodes are mov<strong>in</strong>g, this becomes achalleng<strong>in</strong>g task, s<strong>in</strong>ce the topology of the network is <strong>in</strong> constant flux. How tof<strong>in</strong>d a dest<strong>in</strong>ation, how to route to that dest<strong>in</strong>ation, and how to <strong>in</strong>sure robustcommunication <strong>in</strong> the face of constant topology change are major challenges <strong>in</strong>mobile ad hoc networks.Rout<strong>in</strong>g <strong>in</strong> ad hoc networks is a well studied topic, with a number of proposedprotocols like AODV [1] and DSR [2], as well as simulation studies. A commonpo<strong>in</strong>t of exist<strong>in</strong>g algorithms is that their computations <strong>in</strong>volve almost exclusivelydistance (or spatial) types of <strong>in</strong>formation. This approach can be traced all theway back to the classic Dijkstra, Bellman-Ford, and Floyd-Warshall algorithms,which are driven <strong>by</strong> quantities measur<strong>in</strong>g distances 1 between nodes.⋆ The work presented <strong>in</strong> this paper was supported (<strong>in</strong> part) <strong>by</strong> the National CompetenceCenter <strong>in</strong> Research on Mobile Information and Communication Systems(NCCR-MICS), a center supported <strong>by</strong> the Swiss National <strong>Science</strong> Foundation undergrant number 5005-673221 equivalently, transmission costs.S. Pierre, M. Barbeau, and E. Kranakis (Eds.): ADHOC-NOW 2003, LNCS <strong>2865</strong>, pp. 1–11, 2003.c○ Spr<strong>in</strong>ger-Verlag Berl<strong>in</strong> Heidelberg 2003

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