An Interior-Point Trust-Region Algorithm for Quadratic Stochastic Symmetric Programming

Phannipa Kabcome, Thanasak Mouktonglang

Abstract


Stochastic programming is a framework for modeling optimizationproblems that involve uncertainty. In this paper, we study two-stage stochasticquadratic symmetric programming to handle uncertainty in data dening (Deter-ministic) symmetric programs in which a quadratic function is minimized over theintersection of an ane set and a symmetric cone with nite event space. Two-stage stochastic programs can be modeled as large deterministic programming andwe present an interior point trust region algorithm to solve this problem. Numer-ical results on randomly generated data are available for stochastic symmetricprograms. The complexity of our algorithm is proved.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|