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Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System

by Babita Mishra, S. R. Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 61 - Number 20
Year of Publication: 2013
Authors: Babita Mishra, S. R. Singh
10.5120/10200-5010

Babita Mishra, S. R. Singh . Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System. International Journal of Computer Applications. 61, 20 ( January 2013), 45-52. DOI=10.5120/10200-5010

@article{ 10.5120/10200-5010,
author = { Babita Mishra, S. R. Singh },
title = { Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 61 },
number = { 20 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 45-52 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume61/number20/10200-5010/ },
doi = { 10.5120/10200-5010 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:10:11.057616+05:30
%A Babita Mishra
%A S. R. Singh
%T Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System
%J International Journal of Computer Applications
%@ 0975-8887
%V 61
%N 20
%P 45-52
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a linear fractional programming approach for solving multi objective linear programming problem. We develop a model to solve multi objective linear programming problem into fractional programming problem and proposed a method for linearization of a fractional objective. In particular, we consider the optimization of ratio of profit and cash expenditure as fractional objective and used rest of objectives as constraints by obtaining aspiration levels. As the objectives are conflicting in nature, we used the concept of conflict and non conflict between objectives for computation of appropriate aspiration level. The method is illustrated on a problem of agricultural production system to show its suitability.

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Index Terms

Computer Science
Information Sciences

Keywords

Fractional programming Multi objective programming problem Fuzzy goal programming Conflict and non conflict Land-use planning

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