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A note on the optimality conditions for the bilevel programming problem
Author(s) -
Clark P. A.,
Westerberg A. W.
Publication year - 1988
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198810)35:5<413::aid-nav3220350505>3.0.co;2-6
Subject(s) - bilevel optimization , counterexample , interpretation (philosophy) , mathematical optimization , computer science , mathematics , work (physics) , mathematical economics , optimization problem , discrete mathematics , programming language , mechanical engineering , engineering
A counterexample is given to demonstrate that previously proposed necessary conditions for the bilevel programming problem are not correct. An interpretation of the difficulty is given by appealing to a “theorem of alternative” result presented in the original work.