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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Vydáno v:Journal of inequalities and applications Ročník 2015; číslo 1; s. 1 - 22
Hlavní autor: Wu, Hsien-Chung
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 19.08.2015
Springer Nature B.V
Témata:
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
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Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0773-6