A modified homotopy method for solving the principal-agent bilevel programming problem

2016 ◽  
Vol 37 (1) ◽  
pp. 541-566 ◽  
Author(s):  
Zhichuan Zhu ◽  
Bo Yu
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Homotopy Method ◽  
Principal Agent ◽  
Bilevel Programming Problem

A homotopy method for solving bilevel programming problem

2004 ◽  
Vol 57 (7-8) ◽  
pp. 917-928 ◽  
Author(s):  
Dao Li Zhu ◽  
Qing Xu ◽  
Zhenghua Lin
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Homotopy Method ◽  
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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