The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Ghane Kanafi Armin

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Interdisciplinary Journal of Management Studies Year:2019 | Volume:12 | Issue:3 Page(s): 379-404

Download Full-Text

View:

127

Download:

Cites:

Information Journal Paper

Title

The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems

Author(s)

Ghane Kanafi Armin | Issue Writer Certificate

Keywords

Multi-criteria optimization problems

Pareto surface

Non-convex and Nonlinear optimization

Health care management problem

Scalarization techniques

Abstract

In managerial and economic applications, there appear problems in which the goal is to simultaneously optimize several criteria functions (CFs). However, since the CFs are in conflict with each other in such cases, there is not a feasible point available at which all CFs could be optimized simultaneously. Thus, in such cases, a set of points, referred to as 'nondominate' points (NDPs), will be encountered that are ineffective in relation to each other. In order to find such NDPs, many methods including the Scalarization techniques have been proposed, each with their advantages and disadvantages. A comprehensive approach with scalarization perspective is the PS method of Pascoletti and Serafini. The PS method uses the two parameters of p a R p  as the starting point and r R r  , 2, 0 p p as the direction of motion to find the NDPs on the 'non-dominate' frontier (NDF). In bi-objective cases, the point 2 a R is selected on a special line, and changing point on this line leads to finding all the NDPs. Generalization of this approach is very difficult to three-or more-criteria optimization problems because any closed pointed cone in a three-or more-dimensional space is not like a two-dimensional space of a polygonal cone. Moreover, even for multifaceted cones, the method cannot be generalized, and inevitably weaker constraints must be used in the assumptions of the method. In order to overcome such problems of the PS method, instead of a hyperplane (two-dimensional line), a hypersphere is applied in the current paper, and the parameter p a R is changed over its boundary. The generalization of the new method for more than two criteria problems is simply carried out, and the examples, provided along with their comparisons with methods such as mNBI and NC, ensure the efficiency of the method. A case study in the realm of health care management (HCM) including two conflicting CFs with special constraints is also presented as an exemplar application of the proposed method.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

Ghane Kanafi, Armin. (2019). The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems. IRANIAN JOURNAL OF MANAGEMENT STUDIES, 12(3), 379-404. SID. https://sid.ir/paper/783398/en

Vancouver: Copy

Ghane Kanafi Armin. The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems. IRANIAN JOURNAL OF MANAGEMENT STUDIES[Internet]. 2019;12(3):379-404. Available from: https://sid.ir/paper/783398/en

IEEE: Copy

Armin Ghane Kanafi, “The Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems,” IRANIAN JOURNAL OF MANAGEMENT STUDIES, vol. 12, no. 3, pp. 379–404, 2019, [Online]. Available: https://sid.ir/paper/783398/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops