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Paper Information

Journal:   JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)   WINTER 2018 , Volume 14 , Number 4 (55) ; Page(s) 109 To 127.
 
Paper: 

A NUMERICAL METHOD BASED ON PASCOLETTI-SERAFINI APPROACH FOR FINDING THE EFFICIENT FRONTIER IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS

 
 
Author(s):  GHANE KANAFI A., KHORRAM E.*
 
* DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICS AND COMPUTER SCIENCES, AMIRKABIR UNIVERSITY OF TECHNOLOGY, HAFEZ AVENUE, TEHRAN, IRAN
 
Abstract: 

One of the most important applications of the mathematical sciences in industrial and engineering sectors is the determination of a set of Pareto optimal points in multiobjective optimization problems with at least two conflicted and inappropriate objective functions. In this paper, a numerical method based on Pascoletti-Serafini approach for finding an approximation of the efficient frontier in multiobjective optimization problems is presented. The relationship between the optimal solutions of the scalarized problem and the Pareto solutions of the multiobjective optimization problem is presented by several theorems. In numerical simulations section, the effectiveness of the proposed method is demonstrated by comparing it with mNBI and NC, which have nonlinear and nonconvex Pareto optimal frontier, respectively.

 
Keyword(s): MULTIOBJECTIVE OPTIMIZATION, PARETO FRONTIER, PASCOLETTI-SERAFINI SCALARIZATION, NONLINEAR AND NONCONVEX OPTIMIZATION
 
 
References: 
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Click to Cite.
APA: Copy

GHANE KANAFI, A., & KHORRAM, E. (2018). A NUMERICAL METHOD BASED ON PASCOLETTI-SERAFINI APPROACH FOR FINDING THE EFFICIENT FRONTIER IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 14(4 (55) ), 109-127. https://www.sid.ir/en/journal/ViewPaper.aspx?id=568639



Vancouver: Copy

GHANE KANAFI A., KHORRAM E.. A NUMERICAL METHOD BASED ON PASCOLETTI-SERAFINI APPROACH FOR FINDING THE EFFICIENT FRONTIER IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS). 2018 [cited 2021May09];14(4 (55) ):109-127. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=568639



IEEE: Copy

GHANE KANAFI, A., KHORRAM, E., 2018. A NUMERICAL METHOD BASED ON PASCOLETTI-SERAFINI APPROACH FOR FINDING THE EFFICIENT FRONTIER IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), [online] 14(4 (55) ), pp.109-127. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=568639.



 
 
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