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Irrigation Planning Under Uncertainty—A Multi Objective Fuzzy Linear Programming Approach

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  • Dattatray Regulwar
  • Jyotiba Gurav

Abstract

The problem of irrigation planning becomes more complex by considering an uncertainty. The uncertainties can be tackled by formulating the problem of irrigation planning as Fuzzy Linear Programming (FLP). FLP models can incorporate the scenario of real world problem. In the present study, Multi Objective Fuzzy Linear Programming (MOFLP) irrigation planning model is formulated for deriving the optimal cropping pattern plan for the case study of Jayakwadi project in the Godavari river sub basin in Maharashtra State, India. Four conflicting objectives are considered such as Net Benefits (NB), Crop/Yield Production (CP), Employment Generation/Labour Requirement (EG) and Manure Utilization (MU). Four different cases are considered to incorporate the uncertainty in MOFLP model. To include the uncertainty in irrigation planning problem only objectives are taken as fuzzy and constraints are crisp in nature in Case-I. To consider the uncertainty involved in availability of resources, in Case-II the stipulations are fuzzy. The technological coefficients are fuzzy in Case-III. The Case-IV includes both technological coefficients and stipulations fuzzy. The level of satisfaction (λ) works out to be 0.58, 0.50, 0.50 and 0.28 respectively for Case-I to IV. The results obtained in Case-IV are more realistic and promising as it involves the uncertainty in technological coefficients and stipulations simultaneously. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • Dattatray Regulwar & Jyotiba Gurav, 2011. "Irrigation Planning Under Uncertainty—A Multi Objective Fuzzy Linear Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(5), pages 1387-1416, March.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:5:p:1387-1416
    DOI: 10.1007/s11269-010-9750-5
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    References listed on IDEAS

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    4. H. Lu & G. Huang & L. He, 2012. "Simulation-Based Inexact Rough-Interval Programming for Agricultural Irrigation Management: A Case Study in the Yongxin County, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4163-4182, November.
    5. Dariane, A.B. & Ghasemi, M. & Karami, F. & Azaranfar, A. & Hatami, S., 2021. "Crop pattern optimization in a multi-reservoir system by combining many-objective and social choice methods," Agricultural Water Management, Elsevier, vol. 257(C).
    6. D. Regulwar & Jyotiba Gurav, 2012. "Sustainable Irrigation Planning with Imprecise Parameters under Fuzzy Environment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3871-3892, October.
    7. J. Maestre-Valero & D. Martínez-Granados & V. Martínez-Alvarez & J. Calatrava, 2013. "Socio-Economic Impact of Evaporation Losses from Reservoirs Under Past, Current and Future Water Availability Scenarios in the Semi-Arid Segura Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1411-1426, March.
    8. Zhang, Chenglong & Li, Xuemin & Guo, Ping & Huo, Zailin, 2021. "Balancing irrigation planning and risk preference for sustainable irrigated agriculture: A fuzzy credibility-based optimization model with the Hurwicz criterion under uncertainty," Agricultural Water Management, Elsevier, vol. 254(C).
    9. Daniel P. Loucks, 2017. "Managing Water as a Critical Component of a Changing World," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(10), pages 2905-2916, August.
    10. Li, Mo & Guo, Ping & Singh, Vijay P. & Yang, Gaiqiang, 2016. "An uncertainty-based framework for agricultural water-land resources allocation and risk evaluation," Agricultural Water Management, Elsevier, vol. 177(C), pages 10-23.
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    12. Niu, G. & Li, Y.P. & Huang, G.H. & Liu, J. & Fan, Y.R., 2016. "Crop planning and water resource allocation for sustainable development of an irrigation region in China under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 166(C), pages 53-69.
    13. Li, Xiaojuan & Kang, Shaozhong & Niu, Jun & Du, Taisheng & Tong, Ling & Li, Sien & Ding, Risheng, 2017. "Applying uncertain programming model to improve regional farming economic benefits and water productivity," Agricultural Water Management, Elsevier, vol. 179(C), pages 352-365.
    14. Sanjay Raul & Sudhindra Panda, 2013. "Simulation-Optimization Modeling for Conjunctive Use Management under Hydrological Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1323-1350, March.
    15. Li, Xuemin & Zhang, Chenglong & Huo, Zailin & Adeloye, Adebayo J., 2020. "A sustainable irrigation water management framework coupling water-salt processes simulation and uncertain optimization in an arid area," Agricultural Water Management, Elsevier, vol. 231(C).
    16. Mohd Fahmi Bin Mad Ali & Mohd Khairol Anuar Bin Mohd Ariffin & Aidin Delgoshaei & Faizal Bin Mustapha & Eris Elianddy Bin Supeni, 2023. "A Comprehensive 3-Phase Framework for Determining the Customer’s Product Usage in a Food Supply Chain," Mathematics, MDPI, vol. 11(5), pages 1-20, February.
    17. Jyotiba Gurav & D. Regulwar, 2012. "Multi Objective Sustainable Irrigation Planning with Decision Parameters and Decision Variables Fuzzy in Nature," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(10), pages 3005-3021, August.
    18. Li, Mo & Guo, Ping, 2015. "A coupled random fuzzy two-stage programming model for crop area optimization—A case study of the middle Heihe River basin, China," Agricultural Water Management, Elsevier, vol. 155(C), pages 53-66.
    19. Farshad Rezaei & Hamid R. Safavi & Maryam Zekri, 2017. "A Hybrid Fuzzy-Based Multi-Objective PSO Algorithm for Conjunctive Water Use and Optimal Multi-Crop Pattern Planning," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(4), pages 1139-1155, March.
    20. Li, Mo & Fu, Qiang & Singh, Vijay P. & Liu, Dong, 2018. "An interval multi-objective programming model for irrigation water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 196(C), pages 24-36.
    21. Zhang, Chenglong & Guo, Ping, 2018. "FLFP: A fuzzy linear fractional programming approach with double-sided fuzziness for optimal irrigation water allocation," Agricultural Water Management, Elsevier, vol. 199(C), pages 105-119.
    22. S. Dutta & B.C. Sahoo & Rajashree Mishra & S. Acharya, 2016. "Fuzzy Stochastic Genetic Algorithm for Obtaining Optimum Crops Pattern and Water Balance in a Farm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4097-4123, September.

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