Optimal oblivious routing in polynomial time

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August undefined, 2024

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 ... 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 …

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WebNov 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 … WebCiteSeerX — Optimal Oblivious Routing in Polynomial Time CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A recent seminal result of Räcke is that … high woodlands dolphins

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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. … 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 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 … high woodlands hoa

Optimal oblivious routing in polynomial time - Semantic …

WebApr 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 … WebOptimal oblivious multi-path routing algorithms have been proposed in [18] and [19]. The ﬁrst optimal polynomial-time algorithm for ﬁnding an oblivious multi-path routing was given in [18], but it uses Ellipsoid algorithm [20], which is extremely slow. A single linear program (LP) for ﬁnding the optimal routing was given in [19]. high woodlands swim teamWebJun 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 … small ivies

"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 … " - Optimal oblivious routing in polynomial time

Optimal oblivious routing in polynomial time

Online Oblivious Routing - University of California, Los Angeles

WebTheorem 3.1 There is a polynomial time algorithm that for any input network G (directed or undirected) outputs a routing f such that obliv-perf-ratio(f) = obliv-opt(G). 2 The optimal … WebApr 15, 2024 · Flood routing refers to the calculation of the progressive time and shape of a flood wave as it moves downstream along a river, which involves tracking the flood hydrograph from upstream sections to a downstream section. The existing models for flood routing can be broadly divided into two categories: physical models and data-driven models.

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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. WebNov 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...

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 …

WebHowever, to create cost-efficient hard slices in large 5G access networks, a “routing and slot allocation” must be solved quickly. While the underlying network design problem is not new, two extra constraints need to be considered: a specific order in slot activations and a bandwidth allocation policy with statistical multiplexing. 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 …

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WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A recent seminal result of Räcke is that for any network there is an oblivious routing algorithm with a polylog competitive ratio with respect to congestion. Unfortunately, Räcke’s construction is not polynomial time. We give a polynomial time construction that guarantee’s Räcke’s … high wooden sandalsWeboptimal oblivious routing general network problem variant virtual circuit routing specific v online v key technological issue today case input distribution infinite buffer … high wooden shelf garagehttp://www.cas.mcmaster.ca/~gk/courses/Jun/constructing_hierarchy.pdf small ivory corner electric fireplace high woods yamateWebOptimal oblivious routing in polynomial time Pages 383–388 ABSTRACT References Cited By Index Terms Comments ABSTRACT A recent seminal result of Racke is that for any … small ivory bookcaseWebover 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 small itx buildWebOct 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 high woodside farm consett