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 WebThe set-covering problem is to minimize cTx subject to Ax ≥ e and x binary. We compare the value of the objective function at a feasible solution found by a simple greedy …
Min-Sum Set Cover and Its Generalizations SpringerLink
WebThis paper focuses on the weighted set cover problem in networking systems and presents a fully distributed algorithm from the perspective of Nash equilibrium learning and … WebThe generalized set cover problem is to compute an optimum k-partial-cover Copt with the minimum cost C(Copt). P This problem becomes the traditional multicover problem [4, 7] when we set k = n i=1 ri and kj;i = 1 for all Sj and ei, as each element ei should be fully covered and each set Sj is a simple set. When we set ri = 1, it becomes the ... nagpur to shirpur distance
Greedy Approximate Algorithm for Set Cover Problem
WebThe set cover problem is a classical question in combinatorics, computer science, operations research, and complexity theory. It is one of Karp's 21 NP-complete … WebNov 4, 2024 · To solve the generalized set cover problem, we propose an algorithm consisting of two steps. At the first step, we obtain the cover elements, and, at the s … WebOur goal in the Set Cover problem is to select as few subsets as possible from Ssuch that their union covers U. In the weighted version each set S ihas a non-negative weight w i … nagpur to shirdi travels