bilevel programming
An extended branch and bound algorithm for linear bilevel programming
... linear bilevel programming, the branch and bound algorithm is the most successful algorithm to deal with the complementary constraints arising from Kuhn-Tucker ...linear bilevel programming ...
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Optimality conditions for pessimistic semivectorial bilevel programming problems
... linear bilevel programming with nonunique lower-level solutions, they gave an existence theorem of solution and a solving algorithm via exact penalty ...to bilevel programming problems that ...
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An Inexact Restoration Package for Bilevel Programming Problems
... The bilevel algorithm based on the inexact restoration method has appealing theoretical properties, in the sense that under certain hypotheses, convergence is assured ...solve bilevel programming ...
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An extended bilevel programming model and its Kth-best algorithm for dynamic decision making in emergency situations
... Although bilevel programming were initiated by Von Stackelberg [1] back in the early nineteen fifties, it was not drawn much attention until the mid-seventies and the early eighties, which were motivated by ...
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Estimation of Distribution Algorithm for Solving Linear Bilevel Programming Problems
... Estimation of Distribution Algorithm for Solving Linear Bilevel Programming Problems Hua-fei CHEN and He-cheng LI* School of Mathematics and Statistics, Qinghai Normal University, Xining[r] ...
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The models of bilevel programming with lower level second order cone programs
... a bilevel programming [], it can be formulated by a robust optimization method as a bilevel programming prob- lem having second-order cone programming [] as its lower level problem, ...
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An Evolutionary Algorithm Based on a New Decomposition Scheme for Nonlinear Bilevel Programming Problems
... nonlinear bilevel programming problems where the follower’s objective is a function of the linear expression of all variables, and the follower’s constraint functions are convex with respect to the ...
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A note on the optimality condition for a bilevel programming
... This paper is organized as follows: Section gives preliminaries needed throughout the paper. In Section , the main results are established, i.e., the equality type calculus rule of the coderivatives of a solution ...
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Solving Quasiconcave Bilevel Programming Problem
... A Bilevel Programming Problem (BPP) is a decision problem where the vector variables x and y are controlled by two decision-makers: the leader and the ...
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An Application of Bilevel Programming Problem in Optimal Pollution Emission Price
... Charging for the pollution is one of the ways to enhance the environmental quality. The appropriate price of the pollu- tion emission is the most important question of the research on how to charge for the pollution. So, ...
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A Multi-objective Transmission Expansion Planning Strategy: A Bilevel Programming Method
... bi-level programming problem (BPP) is handled by replacing the lower level by its Karush- Kuhn-Tucker (KKT) conditions and then solving the obtained optimization problem by available ...
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A New Approach for Solving Fully Fuzzy Bilevel Linear Programming Problems
... e bilevel programming is a hierarchical optimization problem involving two levels wherein the upper level constraint region is im- plicitly specified by the lower level ...the bilevel ...
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MULTI LEVEL GROUP KEY MANAGEMENT TECHNIQUE FOR MULTICAST SECURITY IN MANET
... quadratic bilevel programming problem is a special class of nonlinear bilevel programming problems, because all of its objective function is convex quadratic function, all the constraint ...
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Solving Stochastic and Bilevel Programs Using Value Functions of Integer Programs.
... discrete bilevel linear programs in which the upper-level variables are all binary and the lower-level variables are all integer or all ...of bilevel integer ...to bilevel integer ...of ...
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A solution method for the optimistic linear semivectorial bilevel optimization problem
... semivectorial bilevel programming problem is our ...semivectorial bilevel programming problem is transformed into a nonsmooth optimization problem, and a solution algorithm is ...
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Partially shared pessimistic bilevel multi follower programming: concept, algorithm, and application
... When the set of solutions of the lower level problem does not reduce to a singleton, the leader can hardly optimize his choice unless he knows the follower’s reaction to his choice. In this situation, at least two ...
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Solving multi objective linear Bilevel multi follower programming problem
... In sciences and industries such as signal optimization, traffic assignment, economic mar- ket and etc, many problems have been modeled by bilevel programming (BLP) problems, where in each level one must ...
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Solving linear bilevel multiobjective programming problem via exact penalty function approach
... Bilevel programming (BP), which is characterized by the existence of two optimization problems in which the constraint region of the first-level problem is implicitly determined by another optimization ...
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A novel approach based on preference based index for interval bilevel linear programming problem
... interval bilevel linear programming problem in which all coefficients in both objective functions and constraints are ...chance-constrained programming [], and thus transform the original problem ...
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Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
... only few studies in the literature dealing with it (see for example [7-11]). According to Pieume et al. [12], this issue can be explained by at least three reasons: The dif- ficulty of searching and defining optimal ...
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