Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District

Arivudai Nambi Jenifer Christinal; Dhasaiyan Surjith Jiji

doi:doi:10.11648/j.acm.20251406.16

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Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District

Arivudai Nambi Jenifer Christinal

, Dhasaiyan Surjith Jiji^*

Published in Applied and Computational Mathematics (Volume 14, Issue 6)

Received: 8 November 2025 Accepted: 20 November 2025 Published: 17 December 2025

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Abstract

In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.

Published in	Applied and Computational Mathematics (Volume 14, Issue 6)
DOI	10.11648/j.acm.20251406.16
Page(s)	360-366
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Linear Programming Problem, Agriculture, Optimal Solution, Decision-Making

References

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[3]	Artur Guerra Rosa, Pedro Henrique Ferreira Azevedo, Victor Rafael Rezende Celestino, Silvia Araújo dos Reis, An analytical approach to optimizing sustainable farm operations through linear reformulation, Decision Analytics Journal, Volume 17, 2025, 100632, https://doi.org/10.1016/j.dajour.2025.100632
[4]	Chand, R. (2012). Development Policies and Agricultural Markets. Economic and Political Weekly, 47(52), 53-63. http://www.jstor.org/stable/41720551
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[6]	M. Maragatham, D. Surjith Jiji, P. Mariappan, Fuzzy Optimization Technique in Production Industry, Advances and Applications in Mathematical Sciences, Mili Publications, India, Volume 21, Issue 6, April 2022, Pages 3401-3406, 2022
[7]	Mahak Bhatia, Anil Rana, A Mathematical Approach to Optimize Crop Allocation - A Linear Programming Model, International Journal of Design & Nature and Ecodynamics, Vol. 15, No. 2, April, 2020, pp. 245-252. https://doi.org/10.18280/ijdne.150215
[8]	Mkonda, M. Y., & He, X. (2017). Yields of the Major Food Crops: Implications to Food Security and Policy in Tanzania’s Semi-Arid Agro-Ecological Zone. Sustainability, 9(8), 1490. https://doi.org/10.3390/su9081490
[9]	Molin, J. P., Wei, M. C. F., & da Silva, E. R. O. (2024). Challenges of Digital Solutions in Sugarcane Crop Production: A Review. AgriEngineering, 6(2), 925-946. https://doi.org/10.3390/agriengineering6020053
[10]	Oladimeji Olanrewaju Adedipupo, Lasisi Taiwo Abideen, Ogunbanwo Tolulope Samson, Fadare Ayodeji, Oluborode Kayode Oladipupo. (2022). Application of Linear Programming for Decision Making to Business in Whao Beverages Nig. Ltd. American Journal of Applied Mathematics, 10(3), 86-92. https://doi.org/10.11648/j.ajam.20221003.11
[11]	Owoeye R. S., Adetule F. S., Ajayi G. T. (2017). Analysis of Productive Resources of Maize Crop Among Farming Households in Ekiti State, Nigeria. International Journal of Agricultural Economics, 2(5), 142-148. https://doi.org/10.11648/j.ijae.20170205.11
[12]	P. Mariappan, A. Jenifer Christinal and Dinesh S. Dave, Assessing production efficiency of principal Crops in India: A DEA approach, Our Heritage. Vol 68, Issue 4, Jan 2020.
[13]	S M Rahaman, B K Bera, Subhadip Pal, A K Nandi, & Surajit Haldar. (2023). Countering vulnerability and enhancing resilience: coastal agriculture in West Bengal, India. Agricultural Economics Research Review, 34(2), 179-191.
[14]	Shek AhmedDepartment of Mathematics, University of Barishal, Barishal, Jakia Sultana, Tanzila Yeasmin Nilu, et al. (2021). Sensitivity Analysis of Linear Programming in Decision Making Model. International Journal of Theoretical and Applied Mathematics, 7(3), 53-56. https://doi.org/10.11648/j.ijtam.20210703.12
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[17]	Tiruchirappalli District Agricultural Reports. (2023). Data on crop cultivation, area, production, and productivity for the year 2023. Directorate of Economics and Statistics, Tamil Nadu.

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APA Style

Christinal, A. N. J., Jiji, D. S. (2025). Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Applied and Computational Mathematics, 14(6), 360-366. https://doi.org/10.11648/j.acm.20251406.16

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ACS Style

Christinal, A. N. J.; Jiji, D. S. Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Appl. Comput. Math. 2025, 14(6), 360-366. doi: 10.11648/j.acm.20251406.16

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AMA Style

Christinal ANJ, Jiji DS. Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Appl Comput Math. 2025;14(6):360-366. doi: 10.11648/j.acm.20251406.16

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@article{10.11648/j.acm.20251406.16,
  author = {Arivudai Nambi Jenifer Christinal and Dhasaiyan Surjith Jiji},
  title = {Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District},
  journal = {Applied and Computational Mathematics},
  volume = {14},
  number = {6},
  pages = {360-366},
  doi = {10.11648/j.acm.20251406.16},
  url = {https://doi.org/10.11648/j.acm.20251406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20251406.16},
  abstract = {In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.},
 year = {2025}
}

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TY  - JOUR
T1  - Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District
AU  - Arivudai Nambi Jenifer Christinal
AU  - Dhasaiyan Surjith Jiji
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DO  - 10.11648/j.acm.20251406.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
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EP  - 366
PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.acm.20251406.16
AB  - In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.
VL  - 14
IS  - 6
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Author Information

Arivudai Nambi Jenifer Christinal

Department of Mathematics, Bishop Heber College (Autonomous), Bharathidasan University, Trichy, India

Contact Email

http://orcid.org/0000-0002-0288-5581
Dhasaiyan Surjith Jiji

Department of Mathematics, K. Ramakrishnan College of Technology (Autonomous), Trichy, India

Contact Email

http://orcid.org/0009-0007-6066-3964

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APA Style

Christinal, A. N. J., Jiji, D. S. (2025). Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Applied and Computational Mathematics, 14(6), 360-366. https://doi.org/10.11648/j.acm.20251406.16

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ACS Style

Christinal, A. N. J.; Jiji, D. S. Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Appl. Comput. Math. 2025, 14(6), 360-366. doi: 10.11648/j.acm.20251406.16

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AMA Style

Christinal ANJ, Jiji DS. Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District. Appl Comput Math. 2025;14(6):360-366. doi: 10.11648/j.acm.20251406.16

Copy | Download

@article{10.11648/j.acm.20251406.16,
  author = {Arivudai Nambi Jenifer Christinal and Dhasaiyan Surjith Jiji},
  title = {Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District},
  journal = {Applied and Computational Mathematics},
  volume = {14},
  number = {6},
  pages = {360-366},
  doi = {10.11648/j.acm.20251406.16},
  url = {https://doi.org/10.11648/j.acm.20251406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20251406.16},
  abstract = {In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District
AU  - Arivudai Nambi Jenifer Christinal
AU  - Dhasaiyan Surjith Jiji
Y1  - 2025/12/17
PY  - 2025
N1  - https://doi.org/10.11648/j.acm.20251406.16
DO  - 10.11648/j.acm.20251406.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 360
EP  - 366
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20251406.16
AB  - In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.
VL  - 14
IS  - 6
ER  -

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