Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
480239 | European Journal of Operational Research | 2012 | 9 Pages |
After an introduction to main ideas of semi-infinite optimization, this article surveys recent developments in theory and numerical methods for standard and generalized semi-infinite optimization problems. Particular attention is paid to connections with mathematical programs with complementarity constraints, lower level Wolfe duality, semi-smooth approaches, as well as branch and bound techniques in adaptive convexification procedures. A section on recent genericity results includes a discussion of the symmetry effect in generalized semi-infinite optimization.
► We introduce main ideas of semi-infinite optimization. ► We surveys recent developments in theory and numerical methods for SIP and GSIP. ► Particular attention is paid to connections with MPCCs, lower level Wolfe duality, semi-smooth approaches, adaptive convexification. ► Recent genericity section includes a discussion of the symmetry effect in GSIP.