A parametric successive underestimation method for convex multiplicative programming problems

1991 ◽  
Vol 1 (3) ◽  
pp. 267-285 ◽  
Author(s):  
Takahito Kuno ◽  
Hiroshi Konno
2011 ◽  
Vol 2011 ◽  
pp. 1-21
Author(s):  
Le Quang Thuy ◽  
Nguyen Thi Bach Kim ◽  
Nguyen Tuan Thien

Convex multiobjective programming problems and multiplicative programming problems have important applications in areas such as finance, economics, bond portfolio optimization, engineering, and other fields. This paper presents a quite easy algorithm for generating a number of efficient outcome solutions for convex multiobjective programming problems. As an application, we propose an outer approximation algorithm in the outcome space for solving the multiplicative convex program. The computational results are provided on several test problems.


IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 162245-162253 ◽  
Author(s):  
Jingben Yin ◽  
Hongwei Jiao ◽  
Youlin Shang

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