The Minimal Hitting Set Generation Problem: Algorithms and Computation
نویسندگان
چکیده
منابع مشابه
The minimal hitting set generation problem: algorithms and computation
Finding inclusion-minimal hitting sets for a given collection of sets is a fundamental combinatorial problem with applications in domains as diverse as Boolean algebra, computational biology, and data mining. Much of the algorithmic literature focuses on the problem of recognizing the collection of minimal hitting sets; however, in many of the applications, it is more important to generate thes...
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Generating minimal hitting sets of a collection of sets is known to be NPhard, necessitating heuristic approaches to handle large problems. In this paper a low-cost, approximate minimal hitting set (MHS) algorithm, coined Staccato, is presented. Staccato uses a heuristic function, borrowed from a lightweight, statistics-based software fault localization approach, to guide the MHS search. Given ...
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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,...
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The primary computational bottleneck of many model-based diagnosis approaches is a hitting set algorithm. The algorithm is used to find diagnoses which explain all observed discrepancies (represented as conflicts). This paper presents a revised hitting set algorithm which can efficiently identify a single minimum cardinality diagnosis of a set of conflicts. Used in an anytime framework it can p...
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We show that hitting set and set cover problems with half-strips oriented in two opposite directions are NPcomplete.
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2017
ISSN: 0895-4801,1095-7146
DOI: 10.1137/15m1055024