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 ... 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].

CiteSeerX — Optimal Oblivious Routing in Polynomial Time

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 WebOptimal 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 … fluffy penguin discount code

On A New Competitive Measure For Oblivious Routing

Webover 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 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 … fluffy penguins slippers socks walmart

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CiteSeerX — Optimal Oblivious Routing in Polynomial Time

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 … 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]. fluffy peanut butter mousse recipeWebCiteSeerX — Optimal Oblivious Routing in Polynomial Time CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A recent seminal result of Räcke is that … greene county tn careers

"Webnetwork there is an oblivious routing scheme that achieves a polylogarithmic competitive ratio with respect to congestion. Subsequently, Azar et al. [4] gave a polynomial time algo-rithm that for a given network constructs the best oblivious routing scheme, i.e. the scheme that guarantees the best possible competitive ratio. " - Optimal oblivious routing in polynomial time

Optimal oblivious routing in polynomial time

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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 … 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.

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

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, 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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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

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. … fluffy pets grooming scarboroughWebNov 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 … fluffy periostitis radiologyWebCiteSeerX - 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 … fluffy pets scarboroughWeboptimal oblivious routing general network problem variant virtual circuit routing specific v online v key technological issue today case input distribution infinite buffer … greene county tn calendarWebDec 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. greene county tn chanceryWebNov 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... greene county tn circuit courtWebApr 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 … greene county tn chancery court