Generalized moment-independent importance measures based on Minkowski distance

Qingqing Zhai; Jun Yang; Min Xie; Yu Zhao

doi:10.1016/j.ejor.2014.05.021

Generalized moment-independent importance measures based on Minkowski distance

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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33 Scopus Citations

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Author(s)

Qingqing Zhai
Jun Yang
Min Xie
Yu Zhao

Detail(s)

Original language	English
Pages (from-to)	449-455
Journal / Publication	European Journal of Operational Research
Volume	239
Issue number	2
Online published	6 Jun 2014
Publication status	Published - 1 Dec 2014

Link(s)

DOI	DOI https://doi.org/10.1016/j.ejor.2014.05.021 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84904657240&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(9b6a5fc1-7720-40df-bbc8-ba96fbd4bbdd).html

Abstract

Importance measures have been widely studied and applied in reliability and safety engineering. This paper presents a general formulation of moment-independent importance measures and several commonly discussed importance measures are unified based on Minkowski distance (MD). Moment-independent importance measures can be categorized into three classes of MD importance measures, i.e. probability density function based MD importance measure, cumulative distribution function based MD importance measure and quantile based MD importance measure. Some properties of the proposed MD importance measures are investigated. Several new importance measures are also derived as special cases of the generalized MD importance measures and illustrated with some case studies. © 2014 Elsevier B.V. All rights reserved.