A solution method for semivectorial bilevel programming problem via penalty method

2010 ◽  
Vol 37 (1-2) ◽  
pp. 207-219 ◽  
Author(s):  
Yue Zheng ◽  
Zhongping Wan
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Penalty Method ◽  
Solution Method ◽  
Bilevel Programming Problem

scholarly journals A global solution method for semivectorial bilevel programming problem

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1619-1627 ◽  
Author(s):  
Yue Zheng ◽  
Jiawei Chen ◽  
Xiaogang Cao
Keyword(s):  
Programming Problem ◽  
Global Solution ◽  
Penalty Function ◽  
Bilevel Programming ◽  
Original Problem ◽  
Solution Method ◽  
Numerical Results ◽  
Exact Penalty Function ◽  
Exact Penalty ◽  
Bilevel Programming Problem

In this paper, we consider a class of semivectorial bilevel programming problem. An exact penalty function is proposed for such a problem. Based on this penalty function, an algorithm, which can obtain a global solution of the original problem, is presented. Finally, some numerical results illustrate its feasibility.

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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