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A Study of Bacterial Foraging Optimization Algorithm and its Applications to Solve Simultaneous Equations

by Gautam Mahapatra, Soumya Banerjee
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 72 - Number 5
Year of Publication: 2013
Authors: Gautam Mahapatra, Soumya Banerjee
10.5120/12487-7927

Gautam Mahapatra, Soumya Banerjee . A Study of Bacterial Foraging Optimization Algorithm and its Applications to Solve Simultaneous Equations. International Journal of Computer Applications. 72, 5 ( June 2013), 1-6. DOI=10.5120/12487-7927

@article{ 10.5120/12487-7927,
author = { Gautam Mahapatra, Soumya Banerjee },
title = { A Study of Bacterial Foraging Optimization Algorithm and its Applications to Solve Simultaneous Equations },
journal = { International Journal of Computer Applications },
issue_date = { June 2013 },
volume = { 72 },
number = { 5 },
month = { June },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume72/number5/12487-7927/ },
doi = { 10.5120/12487-7927 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:37:05.799482+05:30
%A Gautam Mahapatra
%A Soumya Banerjee
%T A Study of Bacterial Foraging Optimization Algorithm and its Applications to Solve Simultaneous Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 72
%N 5
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

For the solution of a set equation (linear or non-linear) with n number (n > 1) of variables we need at least n number of different relations (called as rank). Our present work is showing how the bio-inspired Bacteria Foraging Optimization Algorithm (BFOA), which is mimicry of the life-cycle of common type of bacteria like E. Coli, can be used to solve such system of equation with rank less than or equal to n. The BFOA simulates efficient nutrient foraging technique called as Chemotaxis to maximize the intake energy per unit time spend, the reproduction for evolution and the elimination-dispersal for environmental changes like any kind of natural calamities that are observed in the Bacterial system. As a sample tests we have used a numbers of system of linear equations with rank equal to the number of variables and a system of non-linear equations used in the derivation process of 4th order Runge-Kutta method for the ordinary differential equation solution, and experimental results are showing the applicability of the BFOA and in case of Runge-Kutta method we present an alternative form of the recursive equation.

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Index Terms

Computer Science
Information Sciences

Keywords

BFOA chemotaxis tumble swim swarm reproduction elimination and dispersion Total Square Errors BFOASimulation

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