Agricultural Land Allocation for Crop Planning in a Canal Command Area Using Fuzzy Multiobjective Goal Programming
Publication: Journal of Irrigation and Drainage Engineering
Volume 143, Issue 6
Abstract
Real-world problems in the agricultural sector are usually multiobjective in nature. More than one objective needs to be fulfilled simultaneously to incorporate economic and social requirements in an acceptable and optimal cropping pattern. Fuzzy multiobjective goal programming (FMGP) techniques can be used to solve optimization formulations. The purpose of this paper is to present a fuzzy multiobjective-based goal programming (GP) model for optimal allocation of land under cultivation to optimize cropping patterns. In this work, goal programming is implemented in two parts. In the first part, only two objectives, maximization of benefit and production, are considered. In the second part, seven objectives are considered in goal programming: maximization of benefit, maximization of production, minimization of investment, minimization of fertilizer application [i.e., minimization of nitrogen (N) application, minimization of phosphorus (P) application, and minimization of potash (K) application], and minimization of water application. FMGP is used to solve multiobjective formulations. Multiobjective solutions provide the necessary aspiration and tolerance levels for goal programming. Performance evaluation of the methodology is demonstrated for a real canal command area.
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Acknowledgments
The authors acknowledge the help from UP Irrigation Department, Allahabad; UP Agriculture Department, Allahabad; and India Meteorological Department, Pune, for providing necessary data for this study.
References
Agricultural Department Allahabad. (2009). “Annual report for rabi and kharif 2009–10.” Government of UP, Allahabad, India.
Amini, A. (2015). “Application of fuzzy multi-objective programming in optimization of crop production planning.” Asian J. Agric. Res., 9(5), 208–222.
Baky, I. A. (2010). “Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach.” Appl. Math. Modell., 34(9), 2377–2387.
Bazaraa, M., and Bouzaher, A. (1981). “A linear goal programming model for developing economies with and illustration from the agricultural sector in Egypt.” Manage. Sci., 27(4), 396–413.
Bender, M. J., and Simonovic, S. P. (2000). “A fuzzy compromise approach to water resource systems planning under uncertainty.” Fuzzy Sets Syst., 115(1), 35–44.
Biswas, A., and Pal, B. B. (2005). “Application of fuzzy goal programming technique to land use planning in agricultural system.” Int. J. Manage. Sci., 33(5), 391–398.
Boustani, F., and Mohammadi, H. (2010). “Determination of optimal cropping pattern due to water deficit: A case study in the south of Iran.” Am. Eurasian J. Agric. Environ. Sci., 7(5), 591–595.
CACP. (2010). “Annual report of commission for agriculture costs & prices.” Dept. of Agriculture and Cooperation, Ministry of Agriculture, Government of India, New Delhi, India.
Chandrasekaran, B., Annadurai, K., and Somasundaram, E. (2010). A textbook of agronomy, New Age International (P) Limited, New Delhi, India.
Charnes, A., and Cooper, W. W. (1961). Management models and industrial application of linear programming, Vol. I and II, Wiley, New York.
Chow, V. T., Maidment, D. R., and Mays, L. W. (2010). Applied hydrology, Mc-graw Hill International Editions, New York.
Cohon, J., and Marks, D. (1973). “A review and evaluation of multiobjective techniques.” Water Resour. Res., 16(1), 14–20.
Fahmy, D., and El Shishiny, H. (1991). “A goal programming model for desert farm planning.” 5, 69–86.
FAO (Food and Agriculture Organization of the United Nations). (1987). “Irrigation water management training manual no. 3, publications division.” Rome.
FAO (Food and Agriculture Organization of the United Nations). (2006). “Fertilizers use by crop.” Rome.
Fasakhodi, A. F., Nouri, S. H., and Amini, M. (2010). “Water resources sustainability and optimal cropping pattern in farming systems; A multi-objective fractional goal programming approach.” Water Resour. Manage., 24(15), 4639–4657.
Gore, K. P., and Panda, R. K. (2009). “Development of multi objective plan using fuzzy technique for optimal cropping pattern in command area of Andhra minor irrigation project of Maharashtra state (India).” Comput. Technol. Agric. II, 1, 735–741.
Ignizio, J. P. (1976). Goal programming and extension, Lexington Book D.C Health, Lexington, MA.
Ijiri, Y. (1965). Management goals and accounting for control, Rand McNally, Chicago.
Lee, S. M. (1972). Goal programming and decision analysis, Aurbach, Philadelphia.
LINGO. (2006). “Linear, Integer, Nonlinear and Global Optimization Package, Release 10.0, Lingo System Inc.” ⟨http://www.lindo.com⟩ (Dec. 30, 2014).
Lin, W. T. (1980). “A survey of goal programming applications.” Omega, 8(1), 115–117.
Mirajkar, A. B., and Patel, P. L. (2012). “Optimal irrigation planning using multi-objective fuzzy linear programming models.” ISH J. Hydraul. Eng., 18(3), 232–240.
Morales, J. C., Marino, M. A., and Hozapfel, E. A. (1992). “Planning simulation model of irrigation district.” J. Irrig. Drain. Eng., 74–87.
Morankar, D. V., Raju, K. S., and Kumar, D. N. (2013). “Integrated sustainable irrigation planning with multiobjective fuzzy optimization approach.” Water Resour. Manage., 27(11), 3981–4004.
Mujumdar, P. P. (2002). “Mathematical tools for irrigation water management-an overview.” Int. Water Resour. Assoc., 27(1), 47–57.
Raj, P. A., and Kumar, D. N. (1998). “Ranking multi-criterion river basin planning alternatives using fuzzy numbers.” Fuzzy Sets Syst., 100(1), 89–99.
Raju, K. S., and Kumar, D. N. (2005). “Fuzzy multicriterion decision making in irrigation planning.” J. Irrig. Drain., 54(4), 455–465.
Raju, K. S., and Kumar, D. N. (2010). Multicriterion analysis in engineering and management, PHI Learning Private Limited, New Delhi, India.
Regulwar, D. G., and Gurva, J. B. (2010). “ Fuzzy approach based management model for irrigation planning management.” J. Water Resour. Prot., 2(06), 545–554.
Sahoo, B., Lohani, A. K., and Sahu, R. K. (2006). “Fuzzy multiobjective and linear programming based management models for optimal land-water-crop system planning.” Water Resour. Manage., 20(6), 931–948.
Saman, Z., Hadis, K., Elham, K., and Samira, S. (2014). “The determination of optimal cropping pattern using mathematical programming with an emphasis on sustainable agriculture (case study: Boroujerd City).” J. Appl. Environ. Biol. Sci., 4(3s), 21–25.
Sarker, R. A., and Quaddus, M. A. (2002). “Modeling a nationwide crop planning problem using a multiple criteria decision making tool.” Comput. Ind. Eng., 42(2–4), 541–553.
Shahrakia, Z., Allahdadi, M., and Mishmast Nehi, H. M. (2015). “Fuzzy multi objective linear programming problem with imprecise aspiration level and parameters.” Int. J. Optim. Control: Theor. Appl., 5(2), 81–86.
Siskos, Y., Despotis, D. K., and Ghediri, M. (1994). “Multiobjective modeling for regional agricultural planning case study in Tunisia.” Eur. J. Oper. Res., 77(3), 375–391.
Srivastava, P., and Singh, R. M. (2015). “Optimization of cropping pattern in a canal command area using fuzzy programming approach.” Water Resour. Manage., 29(12), 4481–4500.
Varshney, R. S. (1984). Engineering hydrology, Nem Chand, Roorkee, India.
Yin, Y. Y., Huang, G. H., and Hipel, K. W. (1999). “Fuzzy relation analysis for multi-criteria water resources management.” J. Water Resour. Plann. Manage., 41–47.
Zangiabadi, M., and Maleki, R. (2007). “A method for solving linear programming problems with fuzzy parameters based on multiobjective linear programming technique.” Asia. Pac. J. Oper. Res., 24(4), 557–573.
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©2017 American Society of Civil Engineers.
History
Received: Nov 23, 2015
Accepted: Nov 15, 2016
Published ahead of print: Jan 31, 2017
Published online: Feb 1, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 1, 2017
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