Optimal oblivious routing in polynomial time
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. 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 …
Optimal oblivious routing in polynomial time
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WebIn 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 … 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,
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 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].
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 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
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 …
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 … czech language courses for foreigners freeWebA 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. czech language abcWebHowever, 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. binghamton knitting company sweatersWebAn 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]. binghamton lacrosseWebMay 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. … czech language learning gamesWebTheorem 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 … czech language learning pdfWebMay 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. binghamton knitting company roll neck sweater