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Stochastic mathematical programs with hybrid equilibrium constraints

โœ Scribed by Yong-Chao Liu; Jin Zhang; Gui-Hua Lin

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
312 KB
Volume
235
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper considers a stochastic mathematical program with hybrid equilibrium constraints (SMPHEC), which includes either ''here-and-now'' or ''wait-and-see'' type complementarity constraints. An example is given to describe the necessity to study SMPHEC. In order to solve the problem, the sampling average approximation techniques are employed to approximate the expectations and smoothing and penalty techniques are used to deal with the complementarity constraints. Limiting behaviors of the proposed approach are discussed. Preliminary numerical experiments show that the proposed approach is applicable.

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