Multiparametric programming based algorithms for pure integer and mixed-integer bilevel programming problems

@article{Domnguez2010MultiparametricPB,
  title={Multiparametric programming based algorithms for pure integer and mixed-integer bilevel programming problems},
  author={Luis F. Dom{\'i}nguez and Efstratios N. Pistikopoulos},
  journal={Computers & Chemical Engineering},
  year={2010},
  volume={34},
  pages={2097-2106}
}
This work introduces two algorithms for the solution of pure integer and mixed-integer bilevel programming problems by multiparametric programming techniques. The first algorithm addresses the integer case of the bilevel programming problem where integer variables of the outer optimization problem appear in linear or polynomial form in the inner problem. The algorithm employs global optimization techniques to convexify nonlinear terms generated by a reformulation linearization technique (RLT… CONTINUE READING

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