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Asymptotic Analysis of Perturbed Mathematical Programs

✍ Scribed by Jean-Michel Coulomb; Jerzy A Filar; Witold Szczechla

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
163 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider a perturbed mathematical programming problem where both the objective and the constraint functions are analytical in both the underlying decision variables and in the perturbation variable/parameter that is denoted by . The following question arises: what is the description of the solutions of such a perturbed problem when β†’ 0? We demonstrate that, under weak conditions, the solutions of the perturbed problems are obtained as Puiseux series expansions in . The results are obtained by application of the Remmert-Stein representation theorem for complex analytic varieties.

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