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Balanced Sequences and Optimal Routing

by Eitan Altman, Bruno Gaujal, Arie Hordijk - J. ACM , 1997
"... The objective pursued in this paper is two-fold. The first part gives an overview of the following combinatorial problem: is it possible to construct an infinite sequence over n letters where each letter is distributed as "evenly" as possible and appears with a fixed rate? The second objec ..."
Abstract - Cited by 41 (12 self) - Add to MetaCart
objective of the paper is to relate this construction to the framework of optimal routing in queueing networks. We show under rather general assumptions that the optimal deterministic routing in stochastic event graphs is such a sequence.

Partially optimal routing

by Daron Acemoglu, Ramesh Johari, Asuman Ozdaglar - IEEE Journal on Selected Areas in Communications , 2007
"... Abstract — Most large-scale communication networks, such as the Internet, consist of interconnected administrative domains. While source (or selfish) routing, where transmission follows the least cost path for each source, is reasonable across domains, service providers typically engage in traffic e ..."
Abstract - Cited by 10 (1 self) - Add to MetaCart
engineering to improve operating performance within their own network. Motivated by this observation, we develop and analyze a model of partially optimal routing, where optimal routing within subnetworks is overlaid with selfish routing across domains. We demonstrate that optimal routing within a subnetwork

Dynamic source routing in ad hoc wireless networks

by David B. Johnson, David A. Maltz - Mobile Computing , 1996
"... An ad hoc network is a collection of wireless mobile hosts forming a temporary network without the aid of any established infrastructure or centralized administration. In such an environment, it may be necessary for one mobile host to enlist the aid of other hosts in forwarding a packet to its desti ..."
Abstract - Cited by 3108 (31 self) - Add to MetaCart
, the overhead of the protocol is quite low, falling to just 1 % of total data packets transmitted for moderate movement rates in a network of 24 mobile hosts. In all cases, the difference in length between the routes used and the optimal route lengths is negligible, and in most cases, route lengths

How bad is selfish routing?

by Tim Roughgarden, Éva Tardos - JOURNAL OF THE ACM , 2002
"... We consider the problem of routing traffic to optimize the performance of a congested network. We are given a network, a rate of traffic between each pair of nodes, and a latency function for each edge specifying the time needed to traverse the edge given its congestion; the objective is to route t ..."
Abstract - Cited by 657 (27 self) - Add to MetaCart
We consider the problem of routing traffic to optimize the performance of a congested network. We are given a network, a rate of traffic between each pair of nodes, and a latency function for each edge specifying the time needed to traverse the edge given its congestion; the objective is to route

Abstract Optimal Routing in Chord

by Prasanna Ganesan, Gurmeet Singh Manku
"... We propose optimal routing algorithms for Chord [1], a popular topology for routing in peer-to-peer networks. Chord is an undirected graph on 2 b nodes arranged in a circle, with edges connecting pairs of nodes that are 2 k positions apart for any k ≥ 0. The standard Chord routing algorithm uses edg ..."
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We propose optimal routing algorithms for Chord [1], a popular topology for routing in peer-to-peer networks. Chord is an undirected graph on 2 b nodes arranged in a circle, with edges connecting pairs of nodes that are 2 k positions apart for any k ≥ 0. The standard Chord routing algorithm uses

Optimal routing in gossip networks

by Yuval Shavitt, Senior Member, Amir Shay - IEEE Transactions on Vehicular Technology , 2005
"... Abstract—In this paper, we introduce the Gossip Network model where travelers can obtain information about the state of dynamic networks by gossiping with peer travelers using ad hoc communication. Travelers then use the gossip information to recourse their path and find the shortest path to their d ..."
Abstract - Cited by 7 (2 self) - Add to MetaCart
to their destination. We study optimal routing in stochastic, time-independent gossip networks, and demonstrate that an optimal routing policy may direct travelers to make detours to gather information. A dynamic programming equation that produces the optimal policy for routing in gossip networks is presented

Distributed asynchronous optimal routing in . . .

by John N. Tsitsiklis, Dimitri P. Bertsekas , 1986
"... In this paper we study the performance of a class of 1) The quasi-static assumption, i.e., the external traffic distributed optimal routing algorithms of the gradient projection type arrival process for each OD pair is stationary over time. This under weaker and more realistic assumptions than thos ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
In this paper we study the performance of a class of 1) The quasi-static assumption, i.e., the external traffic distributed optimal routing algorithms of the gradient projection type arrival process for each OD pair is stationary over time. This under weaker and more realistic assumptions than

Optimal Routing in Gossip Networks

by unknown authors
"... Abstract — In this paper we introduce the Gossip Network model where travelers can obtain information about the state of dynamic networks by gossiping with peer travelers using ad-hoc communication. Travelers then use the gossip information to recourse their path and find the shortest path to destin ..."
Abstract - Add to MetaCart
to destination. We study optimal routing in stochastic, time independent gossip networks, and demonstrate that an optimal routing policy may direct travelers to make detours to gather information. A dynamic programming equation that produces the optimal policy for routing in gossip networks is presented

Energy Conserving Routing in Wireless Ad-hoc Networks

by Jae-hwan Chang, Leandros Tassiulas , 2000
"... An ad-hoc network of wireless static nodes is considered as it arises in a rapidly deployed, sensor based, monitoring system. Information is generated in certain nodes and needs to reach a set of designated gateway nodes. Each node may adjust its power within a certain range that determines the set ..."
Abstract - Cited by 622 (2 self) - Add to MetaCart
with node capacities and the algorithms converge to the optimal solution. When there are multiple power levels then the achievable lifetime is close to the optimal (that is computed by linear programming) most of the time. It turns out that in order to maximize the lifetime, the traffic should be routed

Optimal Routing in Toroidal Networks

by Izidor Jerebic, Roman Trobec, Jozef Stefan - Information Processing Letters , 1992
"... In this paper we study routing algorithms for one-to-one communication in multiprocessors, whose interconnection networks have toroidal structure. A toroidal network is an n-dimensional rectangular mesh with additional edge-to-edge connections. Mathematically speaking, these networks are undirected ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
graphs obtained by cartesian product of cycles. We show, that a broad class of routing algorithms, called homogeneous, is optimal for certain class of such networks. Besides, we propose a transformation, which transforms non-optimal homogeneous routing algorithms into optimal semi-homogeneous routing
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