Results 61 to 70 of about 2,347,375 (169)

The dynamic set covering próblem

open access: yesApplied Mathematical Modelling, 1982
This paper addresses a dynamic version of the set covering formulation for facility location problems. The problem is characterized by 0–1 cover coefficients that may change value from one time period to the next. Included is a discussion of model formulation considerations, solution procedures and applications areas.
Chrissis, James W.   +2 more
openaire   +1 more source

On the Optimality of a Class of LP-based Algorithms [PDF]

open access: yes, 2009
In this paper we will be concerned with a class of packing and covering problems which includes Vertex Cover and Independent Set. Typically, one can write an LP relaxation and then round the solution.
Kumar, Amit   +3 more
core   +2 more sources

New constructions for covering designs

open access: yes, 1995
A $(v,k,t)$ {\em covering design}, or {\em covering}, is a family of $k$-subsets, called blocks, chosen from a $v$-set, such that each $t$-subset is contained in at least one of the blocks.
Gordon, Daniel   +2 more
core   +2 more sources

Knapsack with Vertex Cover, Set Cover, and Hitting Set

open access: yes
Given an undirected graph $\mathcal{G}=(\mathcal{V},\mathcal{E})$, with vertex weights $(w(u))_{u\in\mathcal{V}}$, vertex values $(α(u))_{u\in\mathcal{V}}$, a knapsack size $s$, and a target value $d$, the \vcknapsack problem is to determine if there exists a subset $\mathcal{U}\subseteq\mathcal{V}$ of vertices such that $\mathcal{U}$ forms a vertex ...
Dey, Palash   +3 more
openaire   +4 more sources

Hard Capacitated Set Cover and Uncapacitated Geometric Set Cover

open access: yes, 2016
The first part of this report describes the following result that, logarithmic approximation factor for hard capacitated set cover can be achieved from Wolsey's work [9], using a simpler and more intuitive analysis. We further show in our work, that O(log n) approximation factor can be achieved for the same problem by applying analysis of general set ...
openaire   +2 more sources

A Uniform Set Covering Lemma [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
The bounded set system H = (V, i) is composed of a nonvoid set V and a set, S, of nonvoid subsets of V, a finite number of which cover V. C C V is a critical subset of H if every proper subset of C requires fewer members of X to cover it than are needed to cover C.
openaire   +2 more sources

About a certain NP complete problem

open access: yes, 2020
In this article we introduce the concept of special decomposition of a set and the concept of special covering of a set under such a decomposition. We study the conditions for existence of special coverings of the sets, under the special decomposition of
Margaryan, Stepan
core  

Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model

open access: yesMathematics, 2020
On the basis of decision-theoretical rough sets (DTRSs), the three-way decisions give new model of decision approach for deal with the problem of decision. This proposed model of decision method is based on the loss function of DTRSs.
Shougi S. Abosuliman   +2 more
doaj   +1 more source

A Local Branching Approach for the Set Covering Problem

open access: yesInternational Journal of Industrial Engineering and Production Research, 2014
The set covering problem (SCP) is a well-known combinatorial optimization problem. This paper investigates development of a local branching approach for the SCP.
Masoud Yaghini   +2 more
doaj  

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