On the Hitting Set of Bundles Problem
نویسندگان
چکیده
Le problème de l’ensemble minimal de paquets (minimal hitting set of bundles problem ou HSB) est défini comme suit. On dispose d’un ensemble E = {e1, e2, . . . , en} de n éléments. Chaque élément ei (i = 1, . . . , n) a un coût positif ou nul ci. Un paquet b est un sous ensemble de E . On dispose aussi d’une collection S = {S1, S2, . . . , Sm} de m ensembles de paquets. De manière plus précise, chaque ensemble Sj (j = 1, . . . ,m) est composé de g(j) paquets distincts notés bj , b 2 j , . . . , b g(j) j . Une solution du problème HSB est un sous ensemble E ′ ⊆ E tel que pour tout Sj ∈ S , au moins un paquet est couvert, i.e. bj ⊆ E ′. Le coût total de la solution, noté C(E ′), est
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Parameterizations of hitting set of bundles and inverse scope
Hitting Set of Bundles generalizes the ordinary Hitting Set problem in the way that prescribed bundles of elements rather than single elements have to be put in a hitting set. The goal is to minimize the total number of distinct elements in the solution. First we prove that Hitting Set of Bundles, with the number of hyperedges and the solution size as parameter, is W [1]-complete. This contrast...
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