UGC Approved Journal no 63975

ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 2 Issue 1
January-2015
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1701521


Registration ID:
308804

Page Number

771-773

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Title

A Methodology on a class of Trilevel Programming Problems

Abstract

This paper deals with theory and methodology on a special class of Trilevel Programming Problems with non-linear objectives. A quadratic (indefinite) programming problem is a mathematical programming problem which is a product of two linear factors. In this article, the piece–wise indefinite quadratic programming problem (PIQP) is considered. Here, the objective function is a product of two continuous piecewise linear functions defined on a non-empty and compact feasible region. Here, the optimality criterion is explained and established to solve PIQP. While optimizing PIQP, we come across certain variables which will not satisfy the optimality condition. For these variable, cases have been discussed so as to move from one basic feasible solution to another basic feasible solution till we reach the optimality. A numerical example is discussed to decipher the methodology.

Key Words

indefinite programs; quadratic programming problem; optimal solution, piecewise linear function; continuity. quasi–concave function

Cite This Article

"A Methodology on a class of Trilevel Programming Problems ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.2, Issue 1, page no.771-773, January-2015, Available :http://www.jetir.org/papers/JETIR1701521.pdf

ISSN


2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"A Methodology on a class of Trilevel Programming Problems ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.2, Issue 1, page no. pp771-773, January-2015, Available at : http://www.jetir.org/papers/JETIR1701521.pdf

Publication Details

Published Paper ID: JETIR1701521
Registration ID: 308804
Published In: Volume 2 | Issue 1 | Year January-2015
DOI (Digital Object Identifier):
Page No: 771-773
Country: -, -, India .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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