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Two General Extension Algorithms of Latin Hypercube Sampling
Joint Authors
Liu, Zhi-zhao
Li, Wei
Yang, Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
For reserving original sampling points to reduce the simulation runs, two general extension algorithms of Latin Hypercube Sampling (LHS) are proposed.
The extension algorithms start with an original LHS of size m and construct a new LHS of size m + n that contains the original points as many as possible.
In order to get a strict LHS of larger size, some original points might be deleted.
The relationship of original sampling points in the new LHS structure is shown by a simple undirected acyclic graph.
The basic general extension algorithm is proposed to reserve the most original points, but it costs too much time.
Therefore, a general extension algorithm based on greedy algorithm is proposed to reduce the extension time, which cannot guarantee to contain the most original points.
These algorithms are illustrated by an example and applied to evaluating the sample means to demonstrate the effectiveness.
American Psychological Association (APA)
Liu, Zhi-zhao& Li, Wei& Yang, Ming. 2015. Two General Extension Algorithms of Latin Hypercube Sampling. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073856
Modern Language Association (MLA)
Liu, Zhi-zhao…[et al.]. Two General Extension Algorithms of Latin Hypercube Sampling. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073856
American Medical Association (AMA)
Liu, Zhi-zhao& Li, Wei& Yang, Ming. Two General Extension Algorithms of Latin Hypercube Sampling. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073856