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...
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| Format: | Conference or Workshop Item |
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American Institute of Physics Inc.
2016
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| 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. |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T20:05:35Z |
| format | Conference or Workshop Item |
| id | utm.eprints-73218 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:05:35Z |
| publishDate | 2016 |
| publisher | American Institute of Physics Inc. |
| record_format | dspace |
| spelling | utm.eprints-732182017-11-27T09:02:11Z http://eprints.utm.my/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 |
| spellingShingle | QA Mathematics Banitalebi, A. Aziz, M. I. A. Aziz, Z. A. Nasir, N. Modelling and optimization for palm oil plantation management |
| title | 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_short | Modelling and optimization for palm oil plantation management |
| title_sort | modelling and optimization for palm oil plantation management |
| topic | QA Mathematics |
| work_keys_str_mv | AT banitalebia modellingandoptimizationforpalmoilplantationmanagement AT azizmia modellingandoptimizationforpalmoilplantationmanagement AT azizza modellingandoptimizationforpalmoilplantationmanagement AT nasirn modellingandoptimizationforpalmoilplantationmanagement |