A general theory of dual optimization problems, II: On the perturbational dual problem corresponding to an unperturbational dual problem

A general theory of dual optimization problems, II: On the perturbational dual problem corresponding to an unperturbational dual problem

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Article ID: iaor1989760
Country: Germany
Volume: 33
Start Page Number: 241
End Page Number: 258
Publication Date: Aug 1989
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Abstract:

Distinguishing between a problem and its instances, the paper redefines the perturbational dual problem corresponding to an unperturbational dual problem, by means of explicit formulas, instead of ‘the scheme’ of ‘formal replacements’. It shows the relations between some main perturbational dual problems and the perturbational dual problems corresponding to some main unperturbational dual problems.

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