Sentence examples for achieves an approximation from inspiring English sources

An O(n3 -time polyn3 -timepolynomialon approximationt algorithman approximathat rachieves8/13 han been developed [3].

Kaplan et al. [12] proposed an approximation algorithm that achieves an approximation guarantee of 2/3.

The first algorithm is deterministic and achieves an approximation factor of O logN), where N is the number of nodes in the network, while the second algorithm is randomized and achieves an approximation factor of ee−1.

Our algorithm achieves an approximation guarantee of factor 2Hk, where k is the largest requirement and Hn=1+12+⋯+1n.

Our analysis shows that the complexity of LUUF is O(nlogn) and it achieves an approximation ratio of F′/Fmax.

This is an improvement over the currently best known approximation algorithm for the classical Steiner tree problem which achieves an approximation ratio of 1+ln(3)/2≈1+ln.

We can use the same reasoning to compute a weighted k-clique matching by selecting locally heaviest k-cliques and achieving an approximation factor of k.

The result of their work is twofold: on the one hand, they achieve an approximation order (0(h^5)) for the left method, on the other hand, they achieve another approximation of the order of (0(h^6)) for the right method.

For achieving an approximation of the system properties in an early design phase including second order and parasitic effects a complex model of the whole system is derived.

Their algorithms achieve an approximation ratio of O ( ( Δ 2 + 1 ) T ) and 24T+1, respectively, where Δ is the maximum degree, and T denotes the number of time slots in a scheduling period.

We construct a family of examples such that the standard LP relaxation has an extreme-point solution with infinity norm ≤Θ(1)/√k, thus showing that the standard iterative rounding method cannot achieve an approximation guarantee better than Ω √k).