On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective

Minimal hitting sets (MHSs) meliorate our reasoning in many applications, including AI planning, CNF/DNF conversion, and program debugging. When following Reiter’s ”theory of diagnosis from first principles”, minimal hitting sets are also essential to the diagnosis problem, since diagnoses can be ch...

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Main Authors: Ingo Pill, Thomas Quaritsch, Franz Wotawa
Format: Article
Language:English
Published: The Prognostics and Health Management Society 2016-06-01
Series:International Journal of Prognostics and Health Management
Subjects:
Online Access:https://papers.phmsociety.org/index.php/ijphm/article/view/2363
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author Ingo Pill
Thomas Quaritsch
Franz Wotawa
author_facet Ingo Pill
Thomas Quaritsch
Franz Wotawa
author_sort Ingo Pill
collection DOAJ
description Minimal hitting sets (MHSs) meliorate our reasoning in many applications, including AI planning, CNF/DNF conversion, and program debugging. When following Reiter’s ”theory of diagnosis from first principles”, minimal hitting sets are also essential to the diagnosis problem, since diagnoses can be characterized as the minimal hitting sets of conflicts in the behavior of a faulty system. While the large amount of application options led to the advent of a variety of corresponding MHS algorithms, for diagnostic purposes we still lack a comparative evaluation assessing performance characteristics. In this paper, we thus empirically evaluate a set of complete algorithms relevant for diagnostic purposes in synthetic and real-world scenarios. We consider in our experimental evaluation also how cardinality constraints on the solution space, as often established in practice for diagnostic purposes, influence performance in terms of run-time and memory usage.
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spelling doaj.art-db6117d27c70405291aca1deb54cd7a12022-12-21T22:39:53ZengThe Prognostics and Health Management SocietyInternational Journal of Prognostics and Health Management2153-26482153-26482016-06-0172doi:10.36001/ijphm.2016.v7i2.2363On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic PerspectiveIngo Pill0Thomas Quaritsch1Franz Wotawa2Institute for Software Technology, Graz University of Technology, Inffeldgasse 16b/II, 8010 Graz, AustriaHTL Pinkafeld, Meierhofplatz 1, 7423 Pinkafeld, Austria (this author was also with the Institute for Software Technology when contributing)Institute for Software Technology, Graz University of Technology, Inffeldgasse 16b/II, 8010 Graz, AustriaMinimal hitting sets (MHSs) meliorate our reasoning in many applications, including AI planning, CNF/DNF conversion, and program debugging. When following Reiter’s ”theory of diagnosis from first principles”, minimal hitting sets are also essential to the diagnosis problem, since diagnoses can be characterized as the minimal hitting sets of conflicts in the behavior of a faulty system. While the large amount of application options led to the advent of a variety of corresponding MHS algorithms, for diagnostic purposes we still lack a comparative evaluation assessing performance characteristics. In this paper, we thus empirically evaluate a set of complete algorithms relevant for diagnostic purposes in synthetic and real-world scenarios. We consider in our experimental evaluation also how cardinality constraints on the solution space, as often established in practice for diagnostic purposes, influence performance in terms of run-time and memory usage.https://papers.phmsociety.org/index.php/ijphm/article/view/2363model-based diagnosisminimal hitting set
spellingShingle Ingo Pill
Thomas Quaritsch
Franz Wotawa
On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
International Journal of Prognostics and Health Management
model-based diagnosis
minimal hitting set
title On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
title_full On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
title_fullStr On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
title_full_unstemmed On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
title_short On the Practical Performance of Minimal Hitting Set Algorithms from a Diagnostic Perspective
title_sort on the practical performance of minimal hitting set algorithms from a diagnostic perspective
topic model-based diagnosis
minimal hitting set
url https://papers.phmsociety.org/index.php/ijphm/article/view/2363
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