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Fuzzy Stochastic Genetic Algorithm for Obtaining Optimum Crops Pattern and Water Balance in a Farm

Author

Listed:
  • S. Dutta

    (KIIT University)

  • B.C. Sahoo

    (College of Agricultural Engineering and Technology)

  • Rajashree Mishra

    (KIIT University)

  • S. Acharya

    (KIIT University)

Abstract

This paper is concerned with multi-objective fuzzy stochastic model for determination of optimum cropping patterns with water balance for the next crop season. The objective functions of the model is to study the effect of various cropping patterns on crop production subject to total water supply in a small farm. The decision variables are the cultivated area of different crops at the farm. The water requirement of the crops follows fuzzy uniform distribution and yields in the objective functions are taken as a fuzzy numbers. The model is solved by using fuzzy stochastic simulation based genetic algorithm without deriving the deterministic equivalents.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:12:d:10.1007_s11269-016-1406-7
    DOI: 10.1007/s11269-016-1406-7
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    1. H. Lu & G. Huang & G. Zeng & I. Maqsood & L. He, 2008. "An Inexact Two-stage Fuzzy-stochastic Programming Model for Water Resources Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 991-1016, August.
    2. Pradeep Dogra & V. Sharda & P. Ojasvi & Shiv Prasher & R. Patel, 2014. "Compromise Programming Based Model for Augmenting Food Production with Minimum Water Allocation in a Watershed: a Case Study in the Indian Himalayas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(15), pages 5247-5265, December.
    3. Ajay Singh, 2016. "Optimal Allocation of Resources for Increasing Farm Revenue under Hydrological Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(7), pages 2569-2580, May.
    4. Li, Y.P. & Liu, J. & Huang, G.H., 2014. "A hybrid fuzzy-stochastic programming method for water trading within an agricultural system," Agricultural Systems, Elsevier, vol. 123(C), pages 71-83.
    5. Masatoshi Sakawa & Ichiro Nishizaki & Hideki Katagiri, 2011. "Fuzzy Multiobjective Stochastic Programming," International Series in Operations Research & Management Science, in: Fuzzy Stochastic Multiobjective Programming, chapter 0, pages 49-99, Springer.
    6. Bhabagrahi Sahoo & Anil Lohani & Rohit Sahu, 2006. "Fuzzy Multiobjective and Linear Programming Based Management Models for Optimal Land-Water-Crop System Planning," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(6), pages 931-948, December.
    7. Benli, Bogachan & Kodal, Suleyman, 2003. "A non-linear model for farm optimization with adequate and limited water supplies: Application to the South-east Anatolian Project (GAP) Region," Agricultural Water Management, Elsevier, vol. 62(3), pages 187-203, October.
    8. Fatemeh Karandish & Samira Salari & Abdullah Darzi-Naftchali, 2015. "Application of Virtual Water Trade to Evaluate Cropping Pattern in Arid Regions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 4061-4074, September.
    9. S. Meysam Mousavi & Fariborz Jolai & Reza Tavakkoli-Moghaddam, 2013. "A Fuzzy Stochastic Multi-Attribute Group Decision-Making Approach for Selection Problems," Group Decision and Negotiation, Springer, vol. 22(2), pages 207-233, March.
    10. Abbas Amini Fasakhodi & Seyed Nouri & Manouchehr Amini, 2010. "Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4639-4657, December.
    11. Ines, Amor V.M. & Honda, Kiyoshi & Das Gupta, Ashim & Droogers, Peter & Clemente, Roberto S., 2006. "Combining remote sensing-simulation modeling and genetic algorithm optimization to explore water management options in irrigated agriculture," Agricultural Water Management, Elsevier, vol. 83(3), pages 221-232, June.
    12. Laxmi Sethi & D. Kumar & Sudhindra Panda & Bimal Mal, 2002. "Optimal Crop Planning and Conjunctive Use of Water Resources in a Coastal River Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 16(2), pages 145-169, April.
    13. Paritosh Srivastava & Raj Singh, 2015. "Optimization of Cropping Pattern in a Canal Command Area Using Fuzzy Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4481-4500, September.
    14. K Deb, 2001. "Nonlinear goal programming using multi-objective genetic algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 291-302, March.
    15. Kuo, Sheng-Feng & Merkley, Gary P. & Liu, Chen-Wuing, 2000. "Decision support for irrigation project planning using a genetic algorithm," Agricultural Water Management, Elsevier, vol. 45(3), pages 243-266, August.
    16. Ana Ruiz & Rubén Saborido & Mariano Luque, 2015. "A preference-based evolutionary algorithm for multiobjective optimization: the weighting achievement scalarizing function genetic algorithm," Journal of Global Optimization, Springer, vol. 62(1), pages 101-129, May.
    17. Singh, D. K. & Jaiswal, C. S. & Reddy, K. S. & Singh, R. M. & Bhandarkar, D. M., 2001. "Optimal cropping pattern in a canal command area," Agricultural Water Management, Elsevier, vol. 50(1), pages 1-8, August.
    18. 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.
    19. Antonio L. Márquez & Raúl Baños & Consolación Gil & María G. Montoya & Francisco Manzano‐Agugliaro & Francisco G. Montoya, 2011. "Multi‐objective crop planning using pareto‐based evolutionary algorithms," Agricultural Economics, International Association of Agricultural Economists, vol. 42(6), pages 649-656, November.
    20. Chen Zhang & Edward McBean & Jeanne Huang, 2014. "A Virtual Water Assessment Methodology for Cropping Pattern Investigation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(8), pages 2331-2349, June.
    21. Masatoshi Sakawa & Ichiro Nishizaki & Hideki Katagiri, 2011. "Fuzzy Stochastic Multiobjective Programming," International Series in Operations Research and Management Science, Springer, number 978-1-4419-8402-9, March.
    22. A. Mishra & A. Adhikary & S. Panda, 2009. "Optimal Size of Auxiliary Storage Reservoir for Rain Water Harvesting and Better Crop Planning in a Minor Irrigation Project," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(2), pages 265-288, January.
    23. Ying Wang & Yun Chen & Shizhang Peng, 2011. "A GIS Framework for Changing Cropping Pattern Under Different Climate Conditions and Irrigation Availability Scenarios," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3073-3090, October.
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    Cited by:

    1. Rui M. S. Pereira & Sofia Lopes & Amélia Caldeira & Victor Fonte, 2018. "Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal," Sustainability, MDPI, vol. 10(12), pages 1-16, December.
    2. X. T. Zeng & Y. P. Li & G. H. Huang & J. Liu, 2017. "Modeling of Water Resources Allocation and Water Quality Management for Supporting Regional Sustainability under Uncertainty in an Arid Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(12), pages 3699-3721, September.

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