Set cover problem (SCPAn approximation algorithmA greedy algorithmAn NP-complete optimization problemIn the set cover problem (SCP), a set of elements \\\({X = \\\{x_{1}, x_{2}, \\\ldots, x_{n}\\\}}\\\) and a collection \\\({F = \\\{S_{1}, S_{2}, \\\ldots, ...
(non-necessarilygeometric)capacitatedsetcoverproblem.realweightselements.Onecanuseitselementsmostone.coverallallowedsets.Weshowanypolynomial-timealgorithmuncapacitatedversionsetcoverproblemcon-vertedapproximationalgorithmcapacitatedversiontworesultsyieldspolynomial-timeap-proximationalgorithmcustomersrepresentedweightedn-pointset...
The SCP is an NP-hard combinatorial optimisation problem. In the case of the Minimum SCP, there exists a polynomial-time approximation algorithm that is guaranteed to return a solution that is worse than the minimum number of sets required to cover A by a factor of at most 1 + logm[Johnso...
MHS2 is a heuristic-based approximation algorithm for solving the minimal hitting set/set cover problem. - npcardoso/MHS2
We address a version of the set-cover problem where we do not know the sets initially (and hence referred to as covert) but we can query an element to find out which sets contain this element as well as query a set to know the elements. We want to find a small set-cover using a...
We present a -approximation algorithm for the multi-integer set cover problem, for the maximum coverage. This demonstrates that even though the multi-integer set cover problem generalizes the set cover problem, the same approximation ratio holds. In the special case of the facility terminal cover ...
Set Covering Problem (SCP) is an optimization problem that seeks the smallest set of elements, or sets, to cover a given universe. Implementations of solving SCP involve several techniques: 1. **Greedy Algorithm**: An iterative approach where at each step, the set with the highest coverage-...
Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology and biochemistry. We show an explicit construction of Ising Hamiltonians whose ground states encode the solution...
Set cover is what’s called NP-hard, and one implication is that we shouldn’t hope to find an efficient algorithm that will always give you the shortest regex for every regex golf problem. But despite this, there are approximation algorithms for set cover. What I mean by this is that ...
The set covering problem (SCP) is a well-known combinatorial optimization problem. This paper presents a GRASP algorithm to solve a special SCP case known in the literature as the unicost set covering problem. The algorithm incorporates a local improvement procedure based on the heuristics to solv...