Journal ArticleDOI
Dualitätstheorie für hyperboiisehe und stückweise lineare konvexe optimierungsprobleme
TLDR
Using a generalized LANGRANGE function for a linear hyperbelie programming problem, the author of as mentioned in this paper construets a dual problem, which becomes a piecewise linear convex programming problem.Abstract:
Using a generalized LANGRANGE function for a linear hyperbelie programming problem the author of the present paper construets a dual problem, which becomes a piecewise linear convex programming problem. For such dual problems, propositions on duality are proved containing in particular all propostions of the duality theory of linear programming.read more
Citations
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Journal ArticleDOI
Duality in generalized linear fractional programming
TL;DR: A dual in the form of a Max-Min problem is introduced and duality relations are established for this Min-Max problem, where the maximum of finitely many linear ratios is to be minimized subject to linear constraints.
Journal ArticleDOI
Bibliography in fractional programming
TL;DR: A bibliography in fractional programming is provided which contains 551 references and was attempted to include all publications in this area of nonlinear programming as they have appeared in more than 45 years now.
Journal ArticleDOI
Estimation of Finite Population Domain Means: A Model-Assisted Empirical Best Prediction Approach
Jiming Jiang,Partha Lahiri +1 more
TL;DR: In this paper, a general methodology for producing a model-assisted empirical best predictor (EBP) of a finite population domain mean using data from a complex survey was introduced, which converges in probability to the customary design-consistent estimator as the domain and sample sizes increase.
Journal ArticleDOI
Verallgemeinerte konvexe funktionen 1
TL;DR: In this paper, a set-theoretic description by means of the epigraph of these functionals, which proves to be equivalent to the analytical one, is given, which is also the case in this paper.
References
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Journal ArticleDOI
Programming with linear fractional functionals
Journal ArticleDOI
Duality in fractional programming
TL;DR: In this paper, a dual problem to linear fractional functionals programming i.
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A property of convex piecewise linear functions with applications to mathematical programming
TL;DR: It is proved a lemma on convex piecewise linear functions is proved and there are given some applications of this result to non-linear and parametric programming.