Optimal oblivious routing in polynomial time
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 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.
Optimal oblivious routing in polynomial time
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WebApr 12, 2024 · Oblivious routing distributes traffic from sources to destinations following predefined routes with rules independent of traffic demands. While finding optimal … 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 …
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 … 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].
WebNov 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... 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].
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.
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. how to speak spanish language learningWebCiteSeerX - 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 … rct adp-gn3126Webpolynomial 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, rct 3 toy story playland totemWebrespect 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 … rct bat passive powerWeboptimal oblivious routing general network problem variant virtual circuit routing specific v online v key technological issue today case input distribution infinite buffer … how to speak spoken englishWebNov 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 … rct axpert kingWebnetwork 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. rct asm direct