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Verified Approximation Algorithms [PDF]

open access: yesLogical Methods in Computer Science, 2022
We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, independent set, set cover, center selection, load balancing, and bin packing.
Robin Eßmann   +3 more
doaj   +8 more sources

A Survey on Approximation in Parameterized Complexity: Hardness and Algorithms

open access: yesAlgorithms, 2020
Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results.
Andreas Emil Feldmann   +3 more
doaj   +3 more sources

Approximation algorithms [PDF]

open access: yesProceedings of the National Academy of Sciences, 1997
Increasing global competition, rapidly changing markets, and greater consumer awareness have altered the way in which corporations do business. To become more efficient, many industries have sought to model some operational aspects by gigantic optimization problems. It is not atypical to encounter models that capture 10
Schulz, Andreas S.   +2 more
openaire   +2 more sources

An Approximation Algorithm for Approximation Rank [PDF]

open access: yes2009 24th Annual IEEE Conference on Computational Complexity, 2009
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix--the minimum rank of a matrix which is entrywise close to the communication matrix.
Troy Lee, Adi Shraibman
openaire   +4 more sources

Approximation algorithm for the multicovering problem [PDF]

open access: yesJournal of Combinatorial Optimization, 2021
Let $\mathcal{H}=(V,\mathcal{E})$ be a hypergraph with maximum edge size $\ell$ and maximum degree $Δ$. For given numbers $b_v\in \mathbb{N}_{\geq 2}$, $v\in V$, a set multicover in $\mathcal{H}$ is a set of edges $C \subseteq \mathcal{E}$ such that every vertex $v$ in $V$ belongs to at least $b_v$ edges in $C$. Set Multicover is the problem of finding
Abbass Gorgi   +3 more
openaire   +3 more sources

An overview on polynomial approximation of NP-hard problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2009
The fact that polynomial time algorithm is very unlikely to be devised for an optimal solving of the NP-hard problems strongly motivates both the researchers and the practitioners to try to solve such problems heuristically, by making a trade-off between
Paschos Vangelis Th.
doaj   +1 more source

Fast Square Root Calculation without Division for High Performance Control Systems of Power Electronics

open access: yesCES Transactions on Electrical Machines and Systems, 2022
The calculation of square roots is a frequently used operation in control systems of power electronics for different applications: motor drives, power converters, etc. At the same time, the execution of this procedure significantly loads microcontrollers
Anton Dianov   +2 more
doaj   +1 more source

Approximation Algorithms for Multitasking Scheduling Problems

open access: yesIEEE Access, 2020
In this work, we incorporate human factors and real-life operations into newly proposed multitasking scheduling problems with periodic shift activities.
Feifeng Zheng   +3 more
doaj   +1 more source

Influence Circle Covering in Large-Scale Social Networks: A Shift Approach

open access: yesIEEE Access, 2021
Given a specific propagation speed $h$ in a social network $G(V, E)$ , an influence circle(IC) of a node $s$ in time $t$ is a node set of its influenced nodes, where the distance between $s$ and its expected influenced node $w$ is less than ...
Wangjun Ying, Jian Xu
doaj   +1 more source

Coresets for the Average Case Error for Finite Query Sets

open access: yesSensors, 2021
Coreset is usually a small weighted subset of an input set of items, that provably approximates their loss function for a given set of queries (models, classifiers, hypothesis). That is, the maximum (worst-case) error over all queries is bounded.
Alaa Maalouf   +3 more
doaj   +1 more source

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