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About Disjunctive Optimization

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Semi-Infinite Programming

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 57))

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Abstract

In this paper we investigate the problems of disjunctive programming with an infinite array of components forming a feasible set (as their union). The investigation continues a theme of the author’s article [7] and describes original conceptual approach to a) analysis of a saddle point problem for disjunctive Lagrangian functions, b) analysis of dual relations for disjunctive programming problems, and c) technique of equivalent (with respect to argument) reduction of such problems to the problems of unconstrained optimization.

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Eremin, I.I. (2001). About Disjunctive Optimization. In: Goberna, M.Á., López, M.A. (eds) Semi-Infinite Programming. Nonconvex Optimization and Its Applications, vol 57. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3403-4_2

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  • DOI: https://doi.org/10.1007/978-1-4757-3403-4_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5204-2

  • Online ISBN: 978-1-4757-3403-4

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