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An Optimization-Based Approach to Calculate Confidence Interval on Mean Value with Interval Data
Joint Authors
Zaman, Kais
Kritee, Saraf Anika
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we propose a methodology for construction of confidence interval on mean values with interval data for input variable in uncertainty analysis and design optimization problems.
The construction of confidence interval with interval data is known as a combinatorial optimization problem.
Finding confidence bounds on the mean with interval data has been generally considered an NP hard problem, because it includes a search among the combinations of multiple values of the variables, including interval endpoints.
In this paper, we present efficient algorithms based on continuous optimization to find the confidence interval on mean values with interval data.
With numerical experimentation, we show that the proposed confidence bound algorithms are scalable in polynomial time with respect to increasing number of intervals.
Several sets of interval data with different numbers of intervals and type of overlap are presented to demonstrate the proposed methods.
As against the current practice for the design optimization with interval data that typically implements the constraints on interval variables through the computation of bounds on mean values from the sampled data, the proposed approach of construction of confidence interval enables more complete implementation of design optimization under interval uncertainty.
American Psychological Association (APA)
Zaman, Kais& Kritee, Saraf Anika. 2014. An Optimization-Based Approach to Calculate Confidence Interval on Mean Value with Interval Data. Journal of Optimization،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1042688
Modern Language Association (MLA)
Zaman, Kais& Kritee, Saraf Anika. An Optimization-Based Approach to Calculate Confidence Interval on Mean Value with Interval Data. Journal of Optimization No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1042688
American Medical Association (AMA)
Zaman, Kais& Kritee, Saraf Anika. An Optimization-Based Approach to Calculate Confidence Interval on Mean Value with Interval Data. Journal of Optimization. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1042688
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042688