Introduction -- Linear Bilevel Optimization Problem -- Reduction of Bilevel Programming to a Single Level Problem -- Convex Bilevel Programs -- Mixed-Integer Bilevel Programming Problems -- Applications to Natural Gas Cash-Out Problem -- Applications to Other Energy Systems -- Reduction of the Dimension of the Upper Level Problem in a Bilevel Optimization Model. .
This book describes recent theoretical findings relevant to bilevel programming in general, and in mixed-integer bilevel programming in particular. It describes recent applications in energy problems, such as the stochastic bilevel optimization approaches used in the natural gas industry. New algorithms for solving linear and mixed-integer bilevel programming problems are presented and explained.