An abstract symmetric framework for duality in mathematical programming

An abstract symmetric framework for duality in mathematical programming

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Article ID: iaor19942420
Country: Germany
Volume: 28
Start Page Number: 249
End Page Number: 266
Publication Date: May 1994
Journal: Optimization
Authors:
Keywords: Lagrangean methods
Abstract:

The paper offers an abstract structure called environment (of mathematical programming) in which a pair of dual programs is settled symmetrically. Given an environment, the concepts of an optimization program, its dual and the associated Lagrangean are formalized and studied. The usual asymmetries in certain types of mathematical programming are due to selection of asymmetric environments. Common types of programming like: linear, nonlinear, convex, integer etc. are reviewed in the proposed framework.

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