Solving linear multi-objective geometric programming problems via reference point approach

In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-...

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Main Authors:	Bazikar, F., Saraj, M.
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2014
Online Access:	http://journalarticle.ukm.my/7526/ http://journalarticle.ukm.my/7526/ http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf

id	ukm-7526
recordtype	eprints
spelling	ukm-75262016-12-14T06:44:22Z http://journalarticle.ukm.my/7526/ Solving linear multi-objective geometric programming problems via reference point approach Bazikar, F. Saraj, M. In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-objective geometric programming (MOGP) and solve the problem via two-level relaxed linear programming problem Yuelin et al. (2005) and that is due to simplicity which occurs through linearization i.e. transforming a GP to LP. In this approach each of the objective functions in multi-objective geometric programming is individually linearized using two-level linear relaxed bound method, which provides a lower bound for the optimal values. Finally our MOGP is transformed to a multi-objective linear programming problem (MOLP) which is solved by reference point approach. In the end, a numerical example is given to investigate the feasibility and effectiveness of the proposed approach. Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf Bazikar, F. and Saraj, M. (2014) Solving linear multi-objective geometric programming problems via reference point approach. Sains Malaysiana, 43 (8). pp. 1271-1274. ISSN 0126-6039 http://www.ukm.my/jsm
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-objective geometric programming (MOGP) and solve the problem via two-level relaxed linear programming problem Yuelin et al. (2005) and that is due to simplicity which occurs through linearization i.e. transforming a GP to LP. In this approach each of the objective functions in multi-objective geometric programming is individually linearized using two-level linear relaxed bound method, which provides a lower bound for the optimal values. Finally our MOGP is transformed to a multi-objective linear programming problem (MOLP) which is solved by reference point approach. In the end, a numerical example is given to investigate the feasibility and effectiveness of the proposed approach.
format	Article
author	Bazikar, F. Saraj, M.
spellingShingle	Bazikar, F. Saraj, M. Solving linear multi-objective geometric programming problems via reference point approach
author_facet	Bazikar, F. Saraj, M.
author_sort	Bazikar, F.
title	Solving linear multi-objective geometric programming problems via reference point approach
title_short	Solving linear multi-objective geometric programming problems via reference point approach
title_full	Solving linear multi-objective geometric programming problems via reference point approach
title_fullStr	Solving linear multi-objective geometric programming problems via reference point approach
title_full_unstemmed	Solving linear multi-objective geometric programming problems via reference point approach
title_sort	solving linear multi-objective geometric programming problems via reference point approach
publisher	Universiti Kebangsaan Malaysia
publishDate	2014
url	http://journalarticle.ukm.my/7526/ http://journalarticle.ukm.my/7526/ http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf
first_indexed	2023-09-18T19:49:57Z
last_indexed	2023-09-18T19:49:57Z
_version_	1777406152749875200

Solving linear multi-objective geometric programming problems via reference point approach

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