scholarly journals A coordination model for ill-posed bilevel programming problem via the leader's motivation.

2016 ◽  
Author(s):  
Wengang Zhang ◽  
Shihui Jia
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Bilevel Programming Problem ◽  
Coordination Model ◽  
Ill Posed

A New Coordination Model for Ill-Posed Bilevel Programming Problem

2013 ◽  
Vol 411-414 ◽  
pp. 1943-1947 ◽  
Author(s):  
Shi Hui Jia ◽  
Yue Zheng
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Numerical Results ◽  
Bilevel Programming Problem ◽  
Coordination Model ◽  
Linear Bilevel Programming ◽  
Ill Posed

This paper studied the leader how to motivate the follower to maximize its interests for ill-posed linear bilevel programming problem. We first presented a coordination model and gived its corresponding penalty problem. Under some conditions, we established the result on the existence of the solution. Then, an algorithm was developed to obtain a coordination solution to the original bilevel programming problem. Finally, numerical results show that the proposed method is feasible.

A neural network approach for solving linear bilevel programming problem

2010 ◽  
Vol 23 (3) ◽  
pp. 239-242 ◽  
Author(s):  
Tiesong Hu ◽  
Xuning Guo ◽  
Xiang Fu ◽  
Yibing Lv
Keyword(s):  
Neural Network ◽  
Programming Problem ◽  
Bilevel Programming ◽  
Network Approach ◽  
Bilevel Programming Problem ◽  
Neural Network Approach ◽  
Linear Bilevel Programming

Discrete linear bilevel programming problem

1996 ◽  
Vol 89 (3) ◽  
pp. 597-614 ◽  
Author(s):  
L. Vicente ◽  
G. Savard ◽  
J. Judice
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Bilevel Programming Problem ◽  
Linear Bilevel Programming

scholarly journals A linear fractional bilevel programming problem with multichoice parameters

2017 ◽  
Vol 8 (2) ◽  
pp. 499-513
Author(s):  
Ritu Arora ◽  
◽  
Kavita Gupta ◽  
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Bilevel Programming Problem

scholarly journals Bi-Objective Bilevel Programming Problem: A Fuzzy Approach

2015 ◽  
Vol 11 (2) ◽  
pp. 97-115 ◽  
Author(s):  
S. Haseen ◽  
A. Bari
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Decision Model ◽  
Stackelberg Game ◽  
Fuzzy Approach ◽  
Fuzzy Decision ◽  
Bilevel Programming Problem ◽  
Decision Variables ◽  
Fuzzy Decision Model ◽  
Fuzzy Cost

Abstract In this paper, a likely situation of a set of decision maker’s with bi-objectives in case of fuzzy multi-choice goal programming is considered. The problem is then carefully formulated as a bi-objective bilevel programming problem (BOBPP) with multiple fuzzy aspiration goals, fuzzy cost coefficients and fuzzy decision variables. Using Ranking method the fuzzy bi-objective bilevel programming problem (FBOBPP) is converted into a crisp model. The transformed problem is further solved by adopting a two level Stackelberg game theory and fuzzy decision model of Sakawa. A numerical with hypothetical values is also used to illustrate the problem.

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