Optimal oblivious routing in polynomial time

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 … 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.

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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 … WebA 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. inappropriate walmart photos https://rubenamazion.net

Optimal Oblivious Routing in Polynomial Time

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 … 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 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 … incheon airport capsule hotel darakhyu t1

Optimal Oblivious Routing for Structured Networks IEEE …

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Optimal oblivious routing in polynomial time

Optimal Oblivious Routing With Concave Objectives for Structured ...

Weboptimal oblivious routing general network problem variant virtual circuit routing specific v online v key technological issue today case input distribution infinite buffer … 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].

Optimal oblivious routing in polynomial time

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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 ... 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.

WebAug 4, 2024 · Such a “robust” routing is independent of any specific TM, but has a near-optimal performance in the worst-case. The seminal work [10] proved that the OPR is bounded, and proposed a linear programming to solve the demand-oblivious routing problem in polynomial time. 3.2. Extended oblivious performance ratio 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 …

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. 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 …

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 …

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 … incheon airport covid rulesWebOptimal 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 inappropriate walmart picsWebdevelops a general oblivious routing algorithm that relies on hardware support for multi-path routing (WCMP) already available in commodity switches. For any network, oblivious … incheon airport covid 19WebApr 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 … inappropriate wayWebMay 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. … incheon airport centurion loungeWebIn this paper we give a polynomial time algorithm that produces the optimal routing for any network. In particular, this means that Rac¨ ke’s construction is performed in polyno-mial … incheon airport casinoWebthere is an oblivious routing algorithm with a polylog com-petitive ratio with respect to congestion. Unfortunately, R¨acke’sconstruction isnotpolynomialtime. Wegiveapoly … inappropriate walmart pictures