A dual temperature simulated annealing approach for solving bilevel programming problems
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2019, European Journal of Operational ResearchCitation Excerpt :The majority of methods to solve the mixed-integer bilevel programming problem are restricted to the linear problems and problems where the upper level decision variables only appear in the lower level problem objective and are separable (Saharidis & Ierapetritou, 2009). Moreover, the mixed-integer nonlinear bilevel programming problem has received a little attention in the literature, such as an algorithm using parametric analysis by Jan and Chern (1994), a stochastic simulated annealing algorithm proposed by Sahin and Ciric (1998) and a parametric integer programming algorithm by Köppe, Queyranne, and Ryan (2010). Then, Gümüs and Floudas (2005) introduced two deterministic global optimization methods that solve mixed-integer nonlinear bilevel programming problems.