WebWe call problem (4) the DR-submodular cover problem. This problem encompasses problems that boil down to the sub-modular cover problem for set functions and their generalizations to the integer lattice. Furthermore, the cost function cis generalized to a subadditive function. In particular, we note that two examples WebBonus Problem Consider the following generalized set cover problem: Given a universe Uof nelements, a collection of subsets of U, S= fS 1; ;S kg, and a cost function c: S!Q+, …
Approximation algorithms for stochastic set cover and
WebNov 28, 2024 · There is no polynomial-time solution available for this problem as the problem is a known NP-Hard problem. There is a polynomial-time Greedy approximate algorithm, the greedy algorithm provides a solution that is never worse than twice the optimal solution. WebDec 1, 2010 · The existence of a planar support for the primal hypergraph for k-admissible regions has a surprising algorithmic consequence: it implies that local search yields a PTAS for the hitting set... footter css
Approximation Algorithm for Stochastic Set Cover Problem
The maximum coverage problem is a classical question in computer science, computational complexity theory, and operations research. It is a problem that is widely taught in approximation algorithms. As input you are given several sets and a number $${\displaystyle k}$$. … See more The greedy algorithm for maximum coverage chooses sets according to one rule: at each stage, choose a set which contains the largest number of uncovered elements. It can be shown that this algorithm achieves … See more In the budgeted maximum coverage version, not only does every element $${\displaystyle e_{j}}$$ have a weight $${\displaystyle w(e_{j})}$$, but also every set See more • Set cover problem is to cover all elements with as few sets as possible. See more The inapproximability results apply to all extensions of the maximum coverage problem since they hold the maximum coverage problem as a special case. The Maximum Coverage Problem can be applied to road traffic situations; one such example is … See more In the generalized maximum coverage version every set $${\displaystyle S_{i}}$$ has a cost $${\displaystyle c(S_{i})}$$, element See more WebMay 1, 2002 · 1.. IntroductionThe maximal cover location problem (MCLP) has proved to be one of the most useful facility location models from both theoretical, and practical … foot terminal