Dualitätstheorie für hyperboiisehe und stückweise lineare konvexe optimierungsprobleme
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 5 (2) , 93-108
- https://doi.org/10.1080/02331887408801150
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.Keywords
This publication has 6 references indexed in Scilit:
- Convex AnalysisPublished by Walter de Gruyter GmbH ,1970
- Convexity and Optimization in Finite Dimensions IPublished by Springer Nature ,1970
- Duality in fractional programmingMathematical Methods of Operations Research, 1968
- Duality in fractional and indefinite programmingZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1968
- A property of convex piecewise linear functions with applications to mathematical programmingMathematical Methods of Operations Research, 1965
- Programming with linear fractional functionalsNaval Research Logistics Quarterly, 1962