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A Goal Programming Approach: Multi-objective Optimization

Narayan, Nirma and Khan, Mohammad G.M. (2023) A Goal Programming Approach: Multi-objective Optimization. Global Journal of Pure and Applied Mathematics, 19 (2). pp. 477-498. ISSN 0973-1768

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Abstract

The purpose of this paper is to accentuate the development of multi-objective non-linear programming (MONLP) technique and its advantages of applying to numerical problems. In particular, non-linear programming model is the process of solving an optimization problem defined by a system of inequalities along with an objective function of several variables that exist in various fields. In certain instances, there are situations in these fields where multiple objectives are required to be achieved simultaneously, owing to limited timeframe and convenience of budget. The Multi-objective programming under non-linear conditions and the solution procedure on the goal programming approach is embedded with algorithm and the relevant technique is developed. Numerical examples, specifically, multi-objective quadratic programming problem and examples of other multi-objective non-linear programming problem are presented to illustrate practical use and the computational details of the proposed procedure. The proposed goal programming technique is then solved using a user-friendly optimization software LINGO.

Item Type: Journal Article
Uncontrolled Keywords: Multi-objective non-linear programming, solution procedure, Goal programming, multi-objective quadratic programming, LINGO
Subjects: Q Science > QA Mathematics
Divisions: Office of the PVC (R&I)
School of Information Technology, Engineering, Mathematics and Physics (STEMP)
Depositing User: Nirma Narayan
Date Deposited: 27 Nov 2023 21:53
Last Modified: 21 Feb 2024 21:46
URI: http://repository.usp.ac.fj/id/eprint/14325
UNSPECIFIED

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