Asymptotic Polynomial-Time Approximation ( APTAS ) and Randomized Approximation AlgorithmsEgeblad, Jens
Based on these schemes, we present randomized approximation algorithms for STSP with γ-triangle inequality (ratio (1+γ/(1+3γ-4γ~2)+ε), asymmetric TSP (ATSP) with γ-triangle inequality (ratio 1/2 + (γ~3)/(1-3γ~2)+ε), STSP with weights one and two (ratio 4/3) and ...
RANDOMIZATION IS one of the most interesting and useful tools in designing efficient algorithms. Randomized algorithms, indeed, have been proposed for many problems arising in different areas: taking into account the scope of this book, however, we will limit ourselves to considering randomized approx...
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where agents may misreport their preferences to manipulate the outcome. We first provide a strategyproof O(log (m/n))-approximation consecutive picking algorithm, and then improve the approximation ratio to O((log n)^0.5) by a r...
Set multicover Randomized approximation algorithms Reverse engineering Biological networks 1. Introduction Let [x,y] be the set {x,x+1,x+2,…,y} for integers x and y. The set multicover problem is a well-known combinatorial problem that can be defined as follows. Problem name: SCk. Insta...
can be efficientlysapproximated to arbitrary precision using simulationsalgorithms =-=[20]-=-.sIn our case, we simulate in a singlespass N trials (path traversals) where nodes and edgessare included in the traversal with associatedsprobabilities.sThis is performed by storing asrandomized N-bi.....
Every tour begins at the depot, visits a subset of customers and returns to the depot without violating the capacity constraint. Randomized approximation algorithm achieving approximation guarantees of 2 for split-delivery VRPSD, and 3 for un-split delivery VRPSD are obtained....
The design and analysis of approximation algorithms include a mathematical proof confirming the quality of the generated solutions in the worst case, distinguishing them from heuristic approaches, which find reasonably good solutions, but do not provide any clear indication about the quality of the ...
We present two efficient randomized algorithms for betweenness estimation. The algorithms are based on random sampling of shortest paths and offer probabilistic guarantees on the quality of the approximation. The first algorithm estimates the betweenness of all vertices: all approximated values are within...