Parametric continuous-time linear fractional programming problems

The main purpose of this paper is to establish the strong duality theorem for the parametric formulation of continuous-time linear fractional programming problems. We also consider the so-called extended form of continuous-time linear fractional programming problems that assume the vector-valued fun...

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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2015; no. 1; pp. 1 - 22
Main Author: Wu, Hsien-Chung
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 19.08.2015
Springer Nature B.V
Subjects:
Analysis
Applications of Mathematics
Byproducts
Duality theorem
Formulations
Inequalities
Intervals
Mathematics
Mathematics and Statistics
Programming
Texts
weak duality
parametric continuous-time linear fractional programming problems
90C26
strong duality
weak convergence
46N10
ISSN:1029-242X, 1025-5834, 1029-242X
Online Access:Get full text
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Summary:The main purpose of this paper is to establish the strong duality theorem for the parametric formulation of continuous-time linear fractional programming problems. We also consider the so-called extended form of continuous-time linear fractional programming problems that assume the vector-valued functions to be measurable and bounded on the time interval [ 0 , T ] . The by-product of the main result is the establishment of the strong duality theorem for the extended form of continuous-time linear fractional programming problems.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0773-6