Modelling and optimization for palm oil plantation management

In this paper, the problem of palm oil plantation management is considered. A non-linear mathematical model is proposed considering two state variables as the density of the young palm oil trees and the part of biomass that can produce oil. In the modelling process, it is assumed that the rate of pl...

Full description

Saved in:
Bibliographic Details
Main Authors: Banitalebi, A., Aziz, M. I. A., Aziz, Z. A., Nasir, N.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2016
Subjects:
Online Access:http://eprints.utm.my/id/eprint/73218/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984565334&doi=10.1063%2f1.4954582&partnerID=40&md5=d1f2ae0b217432fab6f03df1d529be5d
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utm.73218
record_format eprints
spelling my.utm.732182017-11-27T09:02:11Z http://eprints.utm.my/id/eprint/73218/ Modelling and optimization for palm oil plantation management Banitalebi, A. Aziz, M. I. A. Aziz, Z. A. Nasir, N. QA Mathematics In this paper, the problem of palm oil plantation management is considered. A non-linear mathematical model is proposed considering two state variables as the density of the young palm oil trees and the part of biomass that can produce oil. In the modelling process, it is assumed that the rate of planting new young trees and the rate of felling inefficient trees can be controlled. It is further assumed that the oil production rate is directly proportional to the biomass of palm oil plantation. A system of delay differential equations is developed to study the behaviour of palm oil plantation. The resulting optimal control problem is also solved to estimate the control variables while the objective is to maintain the biomass at a certain level and maximize the oil palm production in a long period. Numerical simulations are given to illustrate the results. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed Banitalebi, A. and Aziz, M. I. A. and Aziz, Z. A. and Nasir, N. (2016) Modelling and optimization for palm oil plantation management. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984565334&doi=10.1063%2f1.4954582&partnerID=40&md5=d1f2ae0b217432fab6f03df1d529be5d
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Banitalebi, A.
Aziz, M. I. A.
Aziz, Z. A.
Nasir, N.
Modelling and optimization for palm oil plantation management
description In this paper, the problem of palm oil plantation management is considered. A non-linear mathematical model is proposed considering two state variables as the density of the young palm oil trees and the part of biomass that can produce oil. In the modelling process, it is assumed that the rate of planting new young trees and the rate of felling inefficient trees can be controlled. It is further assumed that the oil production rate is directly proportional to the biomass of palm oil plantation. A system of delay differential equations is developed to study the behaviour of palm oil plantation. The resulting optimal control problem is also solved to estimate the control variables while the objective is to maintain the biomass at a certain level and maximize the oil palm production in a long period. Numerical simulations are given to illustrate the results.
format Conference or Workshop Item
author Banitalebi, A.
Aziz, M. I. A.
Aziz, Z. A.
Nasir, N.
author_facet Banitalebi, A.
Aziz, M. I. A.
Aziz, Z. A.
Nasir, N.
author_sort Banitalebi, A.
title Modelling and optimization for palm oil plantation management
title_short Modelling and optimization for palm oil plantation management
title_full Modelling and optimization for palm oil plantation management
title_fullStr Modelling and optimization for palm oil plantation management
title_full_unstemmed Modelling and optimization for palm oil plantation management
title_sort modelling and optimization for palm oil plantation management
publisher American Institute of Physics Inc.
publishDate 2016
url http://eprints.utm.my/id/eprint/73218/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984565334&doi=10.1063%2f1.4954582&partnerID=40&md5=d1f2ae0b217432fab6f03df1d529be5d
_version_ 1643656606993350656
score 13.211869