Optimal oblivious routing in polynomial time

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WebDec 24, 2024 · This paper presents the first oblivious routing scheme which guarantees close to optimal load and is compact at the same time -- requiring routing tables of polylogarithmic size. Our algorithm maintains the polynomial runtime and polylogarithmic competitive ratio of existing algorithms, and is hence particularly well-suited for emerging … Webpolynomial time algorithms (with a polynomial number of variables and constraints in the LP formulation) can be con-structed to compute strategies for optimal oblivious routing for any network, directed or undirected [14]. Though we also em-ploy linear optimization tools and study undirected networks,

Online Oblivious Routing - University of California, Los Angeles

WebApr 12, 2024 · Oblivious routing distributes traffic from sources to destinations following predefined routes with rules independent of traffic demands. While finding optimal … WebJun 9, 2003 · This work gives a polynomial time construction that guarantees Racke's bounds, and more generally gives the true optimal ratio for any network. A recent seminal … dick\u0027s sporting goods cherry hill new jersey

Optimal oblivious routing under statistical uncertainty

WebNov 1, 2004 · This paper presents the first oblivious routing scheme which guarantees close to optimal load and is compact at the same time -- requiring routing tables of … WebJan 1, 2003 · In this case, polynomial-time algorithms to compute optimal static routing (with respect to either congestion or linear reservation cost) have been proposed … WebOct 28, 2014 · Azar Y, Cohen E, Fiat A, Kaplan H, Räcke H (2003) Optimal oblivious routing in polynomial time. In: Proceedings of the 35th ACM symposium on the theory of computing, pp 383–388. Google Scholar Bansal N, Blum A, Chawla S, Meyerson A (2003) Online oblivious routing. In: Symposium on parallelism in algorithms and architectures, pp 44–49 city breaks to singapore

Optimal Oblivious Routing for Structured Networks - Harvard …

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WebWe present two models to compute, in polynomial time, the optimal oblivious routing: a linear model to deal with demands bounded by box constraints, and a second-order conic … Webment techniques must take into account traﬃc variability. The oblivious performance of a routing is a measure of how congested the network may get, in the worst case, for one of a set of possible traﬃc demands. We present two models to compute, in polynomial time, the optimal oblivious routing: a linear model to deal with demands bounded by box dick\u0027s sporting goods chesapeake virginiaWebApr 12, 2024 · Oblivious routing distributes traffic from sources to destinations following predefined routes with rules independent of traffic demands. While finding optimal oblivious routing with a concave objective is intractable for general topologies, we show that it is tractable for structured topologies often used in datacenter networks. To achieve this, we … dick\u0027s sporting goods chesapeake va

"Webdevelops a general oblivious routing algorithm that relies on hardware support for multi-path routing (WCMP) already available in commodity switches. For any network, oblivious … " - Optimal oblivious routing in polynomial time

Optimal oblivious routing in polynomial time

WebThe first polynomial algorithm to obtain the best oblivious routing scheme for specific input graphs was introduced by Azar in [2]. A simpler, linear programming-based algorithm ... Elekes showed that one cannot construct a general polynomial time algorithm for calculating the volume of K-dimensional bodies [20]. Therefore, randomized ... Weboptimal oblivious routing general network problem variant virtual circuit routing specific v online v key technological issue today case input distribution infinite buffer …

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Webover the last two decades. Indeed, today, we have a good understanding of fast (i.e., polynomial-time) and “competitive” oblivious routing algorithms (achieving a polylogarithmic approximation of the load, which is optimal). However, while oblivious routing seems to be the perfect paradigm for emerging large networked WebMay 5, 2024 · While finding optimal oblivious routing is intractable for general topologies, we show that it is tractable for structured topologies often used in datacenter networks. …

WebDec 1, 2007 · We present two models to compute, in polynomial time, the optimal oblivious routing: a linear model to deal with demands bounded by box constraints, and a second-order conic program to deal with ellipsoidal uncertainty, i.e., when a mean-variance description of the traffic demand is given.

WebMay 5, 2024 · While finding optimal oblivious routing is intractable for general topologies, we show that it is tractable for structured topologies often used in datacenter networks. To achieve this, we apply graph automorphism and prove the existence of the optimal automorphism-invariant solution. Webnetwork there is an oblivious routing scheme that achieves a polylogarithmic competitive ratio with respect to congestion. Subsequently, Azar et al. [4] gave a polynomial time algo-rithm that for a given network constructs the best oblivious routing scheme, i.e. the scheme that guarantees the best possible competitive ratio.

Webthere is an oblivious routing algorithm with a polylog com-petitive ratio with respect to congestion. Unfortunately, R¨acke’sconstruction isnotpolynomialtime. Wegiveapoly …

WebOblivious routing distributes traffic from sources to destinations following predefined routes with rules independent of traffic demands. While finding optimal oblivious routing with a concave objective is intractable for general topologies, we show that it is tractable for structured topologies often used in datacenter networks. To achieve this, we apply graph … city breaks to stockholmWebAn optimal oblivious routing is the routing that minimizes the oblivious performance ratio. Its oblivious ratio is the optimal oblivious ratio of the network. B. LP Model Based on [14], [5], Applegate and Cohen develop LP models to solve the oblivious routing problem in polynomial time [3]. dick\u0027s sporting goods chesterfield michiganWebOptimal oblivious routing in polynomial time Mathematics of computing Discrete mathematics Graph theory Network flows Paths and connectivity problems Theory of computation Design and analysis of algorithms Approximation algorithms analysis Routing and network design problems Graph algorithms analysis Network flows Comments dick\u0027s sporting goods chesterfield twp mihttp://minlanyu.seas.harvard.edu/writeup/infocom22.pdf city breaks to st petersburgWebNov 1, 2004 · A recent seminal result of Räcke is that for any undirected network there is an oblivious routing algorithm with a polylogarithmic competitive ratio with respect to congestion. Unfortunately, Räcke's construction is not polynomial time. We give a … dick\u0027s sporting goods chesterfield vaWebA recent seminal result of Räcke is that for any undirected network there is an oblivious routing algorithm with a polylogarithmic competitive ratio with respect to congestion. Unfortunately, Räcke's construction is not polynomial time. dick\u0027s sporting goods chesterfield moWebNov 1, 2004 · Another polynomial approach is proposed in (Applegate & Cohen, 2006) together with results of extensive numerical experiments showing that the routing solutions obtained in practice are often... dick\u0027s sporting goods chicagoland locations