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Title: :  UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS
PaperId: :  1535
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 1 Issue 5 2015
DUI:    16.0415/IJARIIE-1535
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
SANAT KUMAR MAHATODepartment of Mathematics, Mejia Govt. College, West Bengal, India, PIN-722143

Abstract

Unconstrained Optimization
Global Optimization, Interval Number, Sub-region, Interval Order Relations, Optimistic and Pessimistic Point of View, Unconstrained Optimization
This paper deals with discussion on the interval analysis, finite interval arithmetic, interval order relations and its application to find the global optimal solution of unconstrained optimization problems. The existing works on the interval order relations have been pointed out and the modified definitions have been presented. An interval technique is proposed to solve unconstrained unimodal/multimodal optimization problems with continuous variables. In this proposed method, the search region is divided into two equal sub-regions successively and in each sub-region, the lower and upper bounds of the objective function are computed with the help of interval arithmetic. Afterward, interval order relations are used to compare these two interval valued objectives and considering the sub-region containing the better objective value, the global optimal value or close to it of the objective function is obtained. As a final point, the proposed technique is applied to solve a number of test problems of global optimization with lower as well as higher dimensions available in the literature and is compared with the existing methods with respect to the number of function evaluations.

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IJARIIE SANAT KUMAR MAHATO. "UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS" International Journal Of Advance Research And Innovative Ideas In Education Volume 1 Issue 5 2015 Page 926-936
MLA SANAT KUMAR MAHATO. "UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS." International Journal Of Advance Research And Innovative Ideas In Education 1.5(2015) : 926-936.
APA SANAT KUMAR MAHATO. (2015). UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS. International Journal Of Advance Research And Innovative Ideas In Education, 1(5), 926-936.
Chicago SANAT KUMAR MAHATO. "UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS." International Journal Of Advance Research And Innovative Ideas In Education 1, no. 5 (2015) : 926-936.
Oxford SANAT KUMAR MAHATO. 'UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS', International Journal Of Advance Research And Innovative Ideas In Education, vol. 1, no. 5, 2015, p. 926-936. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/UNCONSTRAINED_OPTIMIZATION_USING_INTERVAL_ARITHMETIC_AND_INTERVAL_ORDER_RELATIONS_ijariie1535.pdf (Accessed : ).
Harvard SANAT KUMAR MAHATO. (2015) 'UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS', International Journal Of Advance Research And Innovative Ideas In Education, 1(5), pp. 926-936IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/UNCONSTRAINED_OPTIMIZATION_USING_INTERVAL_ARITHMETIC_AND_INTERVAL_ORDER_RELATIONS_ijariie1535.pdf (Accessed : )
IEEE SANAT KUMAR MAHATO, "UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS," International Journal Of Advance Research And Innovative Ideas In Education, vol. 1, no. 5, pp. 926-936, Nov-Dec 2015. [Online]. Available: http://ijariie.com/AdminUploadPdf/UNCONSTRAINED_OPTIMIZATION_USING_INTERVAL_ARITHMETIC_AND_INTERVAL_ORDER_RELATIONS_ijariie1535.pdf [Accessed : ].
Turabian SANAT KUMAR MAHATO. "UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 1 number 5 ().
Vancouver SANAT KUMAR MAHATO. UNCONSTRAINED OPTIMIZATION USING INTERVAL ARITHMETIC AND INTERVAL ORDER RELATIONS. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2015 [Cited : ]; 1(5) : 926-936. Available from: http://ijariie.com/AdminUploadPdf/UNCONSTRAINED_OPTIMIZATION_USING_INTERVAL_ARITHMETIC_AND_INTERVAL_ORDER_RELATIONS_ijariie1535.pdf
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