Generalized semi-infinite programming: Theory and methods |
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| Institution: | 1. Institute of Energy and Process Systems Engineering, Technische Universität Braunschweig, Franz-Liszt-Straße 35, Braunschweig 38106, Germany;2. PVZ–Center of Pharmaceutical Engineering, Franz-Liszt-Straße 35A, Braunschweig 38106, Germany;3. International Max Planck Research School for Advanced Methods in Process and Systems Engineering, Sandtorstraße 1, Magdeburg 39106, Germany;4. Instiute of Biochemical Engineering, Technische Universität Braunschweig, Rebenring 56, Braunschweig 38106 Germany;1. Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK.;2. Process Systems Enterprise, 26-28 Hammersmith Grove, London W6 7HA, UK;3. Vilnius University Institute of Data Science and Digital Technologies, Akademijos 4, Vilnius, LT-08663, Lithuania;1. Fachbereich Mathematik, Technische Universität Kaiserslautern, 67653 Kaiserslautern, Germany;2. Department of Management Science, Lancaster University, Lancaster LA1 4YX, United Kingdom |
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| Abstract: | Generalized semi-infinite optimization problems (GSIP) are considered. The difference between GSIP and standard semi-infinite problems (SIP) is illustrated by examples. By applying the `Reduction Ansatz', optimality conditions for GSIP are derived. Numerical methods for solving GSIP are considered in comparison with methods for SIP. From a theoretical and a practical point of view it is investigated, under which assumptions a GSIP can be transformed into an SIP. |
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