[PDF] Top 20 Seeking the Optimal Solution to Bilevel Linear Programming by Dual Problem

... to bilevel programming, the parameters of its lower-level objective function and constraint conditions always use the upper-level decision variables as parameters; while the optimal value and ... See full document

... the linear bilevel single objective programming problem, we propose an exact penalty algorithm for the LBMP problem, where both the upper level and the lower level are linear ... See full document

... the solution algorithm proposed in [] for the optimistic linear Stackelberg problem, we will give an optimistic solution approach for the linear semivec- torial bilevel ... See full document

... addresses bilevel linear multi-objective problem issues ...of bilevel linear pro- gramming problems where each decision maker has several objective functions conflicting with each ... See full document

... fractional linear programming in many real-world problems such as production and financial planning and institutional planning and return on investment, and ...objective Linear fractional ... See full document

... an optimal solution of the lower-level ...the problem (.), the existence and approximation of solution, the regularization properties and so on were studied in [, , ...such ... See full document

... level problem to be solved for DM1 is also a strictly concave programming ...Stackelberg solution of (15) is uniquely determined. Thus, the Stackelberg solution of (15) is exactly obtained by ... See full document

... Theorem and Corollary have provided theoretical foundation for our new algorithm. It means that by searching extreme points on the constraint region S , we can efficiently find an optimal solution for a ... See full document

... for bilevel programming in 1973, the prob- lem started receiving the attention motivated by the game theory [14] till the early ...ied bilevel programming intensively and contributed ... See full document

... the linear programming formulation of the fractional set cover problem for the matrix K and use components of the optimal solution to the dual program to guide our ... See full document

... every linear BLP problem is nonempty and compact, it shares an important property that at least one optimal (global) solution is attained at an extreme point of the constraint region ...global ... See full document

... The equilibrium theorem is important for two reasons. Firstly, it allows one to verify a primal solution’s ability to be optimal even if one does not have the optimal dual solution. Then, even ... See full document

... to linear programming problem with single and multi-objective ...the solution approaches of fuzzy multi objective decision ...multi-objective programming problems with fuzzy ...goal ... See full document

... Most of studies on mathematical programming take ac- count of either fuzziness or randomness. However, in practice, decision makers are faced with decision making systems where parameters include both fuzziness ... See full document

... fuzzy optimal compromise solution of a general fuzzy linear programming problem involving fuzzy variables and fuzzy ...fuzzy linear programming can be converted to a crisp ... See full document

... the linear programming ...By Linear programming techniques the real life problem has been mathematically formulated and solved analytically to get the optimal ...the ... See full document

... a solution and the results checked by NCSS (version ...Solving linear programming problem gives a Global optimal solution as ... See full document

... Bilevel programming is proposed in the literature for dealing with hierarchical ...the solution of the ...space. Bilevel problems occur in diverse applications, such as transportation, ... See full document

... this problem are similar to the constraints of the transportation problem with- out the demand constraints, that is, the constraints are independent of each other in the sense that each variable y i j ... See full document

... The bilevel programming problem is a hierarchical optimization problem involving de- cision processes with two decision makers, the so-called leader or upper level decision maker and the ... See full document