Optimal oblivious routing in polynomial time
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. 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 …
Optimal oblivious routing in polynomial time
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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 … 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 …
http://www.cas.mcmaster.ca/~gk/courses/Jun/constructing_hierarchy.pdf WebOptimal 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
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 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 …
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. …
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 ... chin burmese languageWebDec 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. grand bay westfield nb real estateWebApr 12, 2024 · Oblivious routing distributes traffic from sources to destinations following predefined routes with rules independent of traffic demands. While finding optimal … grand bay wilmer rdWebTheorem 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 … chin butterWebover 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 grand bay westfield nb weatherWebpolynomial 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, chin burnshttp://minlanyu.seas.harvard.edu/writeup/infocom22.pdf chin button meaning