Optimal oblivious routing in polynomial time

Author: dqbu

August undefined, 2024

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 … 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,

Compact Oblivious Routing - arXiv

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. 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. birds found in oregon

Optimal oblivious routing in polynomial time - Semantic …

WebCiteSeerX — Optimal Oblivious Routing in Polynomial Time CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A recent seminal result of Räcke is that … 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 … WebAn 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]. birds found in punjab

Optimal Oblivious Routing in Polynomial Time - TTIC

CiteSeerX — Optimal Oblivious Routing in Polynomial Time

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. 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 … danas southlakeWebment 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 birds found in kentucky

"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 " - Optimal oblivious routing in polynomial time

Optimal oblivious routing in polynomial time

Optimal Oblivious Routing for Structured Networks - Harvard …

Webrespect to the best algorithm that uses a single routing for the entire sequence of days (known as the optimal static routing). Our result is a strengthening of the recent result of …

Did you know?

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 … 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 …

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. http://www.cas.mcmaster.ca/~gk/courses/Jun/constructing_hierarchy.pdf

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. … 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].

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.

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 … dana staten island lincolnWebJun 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 … birds found in rajasthanWebDec 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 … dana stabenow books in chronological orderWebAug 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 birds found in ncWebNov 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 … birds found in north americaWebNov 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... birds found in sikkimWebIn 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 … dana stein everyday furs