Annals of Operations Research - Special issue on hierarchical optimization
Linear multiplicative programming
Mathematical Programming: Series A and B
On the quasiconcave bilevel programming problem
Journal of Optimization Theory and Applications
Parametric global optimisation for bilevel programming
Journal of Global Optimization
CSSE '08 Proceedings of the 2008 International Conference on Computer Science and Software Engineering - Volume 01
Multilevel Optimization: Algorithms and Applications
Multilevel Optimization: Algorithms and Applications
Speeding up NEC electromagnetic simulation using GPU technology for antenna design problems
International Journal of Computing Science and Mathematics
Chaotic differential evolution algorithm for resource constrained project scheduling problem
International Journal of Computing Science and Mathematics
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In this paper, an algorithm is proposed to solve a tri-level integer programming problem in which the objective function for the first level is an indefinite quadratic, the second one is linear and the third one is linear fractional. The feasible space of the decision variable is reduced at each level until a satisfactory point is obtained at the last level. The higher level decision-maker reduces the feasible space for the lower level decision maker to search for his optimum. A satisfactory solution of the bilevel decentralised programming problem can also be obtained by the method proposed above. This method is illustrated with the help of examples.