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Technical efficiency and distance to a reverse convex set

โœ Scribed by W. Briec; B. Lemaire

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
201 KB
Volume
114
Category
Article
ISSN
0377-2217

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โœฆ Synopsis

The problem of ยฎnding the distance to a reverse (or complement of a) convex subset in a normed vector space is considered. This nonconvex and, in general, nonsmooth optimization problem arises in quantitative economics in the theory of measuring the technical eciency of production units. In this context, applying a suitable duality theorem similar to the Nirenberg's one known for the distance to a convex subset, the problem reduces to a ยฎnite number of independent linear programming problems.

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