Solving Disjunctive Optimization Problems by Generalized Semi-infinite Optimization Techniques

Peter Kirst () and Oliver Stein ()
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Peter Kirst: Karlsruhe Institute of Technology (KIT)
Oliver Stein: Karlsruhe Institute of Technology (KIT)

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 3, No 18, 1079-1109

Abstract: Abstract We describe a new possibility to model disjunctive optimization problems as generalized semi-infinite programs. In contrast to existing methods in disjunctive programming, our approach does not expect any special formulation of the underlying logical expression. Applying existing lower-level reformulations for the corresponding semi-infinite program, we derive conjunctive nonlinear problems without any logical expressions, which can be locally solved by standard nonlinear solvers. Our preliminary numerical results on some small-scale examples indicate that our reformulation procedure is a reasonable method to solve disjunctive optimization problems.

Keywords: Disjunctive optimization; Generalized semi-infinite optimization; Lower-level duality; Mathematical program with complementarity constraints; Smoothing; 90C34; 90C30 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-016-0862-9

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