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.
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References
Fanadzo M, Chiduza C, Mnkeni PNS, Stoep IVD, Stevens J (2010) Crop production management practices as a cause for low water productivity at Zanyokwe irrigation scheme. Water SA 36(1):27–36
Gasimov RN, Yenilmez K (2002) Solving fuzzy linear programming problems with linear membership functions. Turk J Math 26:375–396
Georgiou PE, Papamichail DM (2008) Optimization model of an irrigation reservoir for water allocation and crop planning under various weather conditions. Irrig Sci 26:487–504
Ghahraman B, Sepaskhah A-R (2002) Optimal allocation of water from a single purpose reservoir to an irrigation project with pre-determined multiple cropping patterns. Irrig Sci 21:127–137
Itoh T, Ishii H, Nanseki T (2003) A model of crop planning under uncertainty in agricultural management. Int J Prod Econ 81–82:555–558
Janga Reddy M, Nagesh Kumar D (2008) Evolving strategies for crop planning and operation of irrigation reservoir system using multi-objective differential evolution. Irrig Sci 26:177–190
Jimenez M, Arenas M, Bilbao A, Rodriguez VM (2007) Linear programming with fuzzy parameters: an interactive method resolution. Eur J Oper Res 177(3):1599–1609
Kakhki MD, Sahnoushi N, Abadi SR (2009) The determination of optimal crop pattern with aim of reduction in hazards of environmental. American J Agric Bio Sci 4(4):305–310
Klir GJ, Yuan B (2007) Fuzzy sets and fuzzy logic: theory and applications. Prentice-Hall of India, New Delhi
Loucks DP, Stedinger JR, Haith DA (1981) Water resources systems planning and analysis. Prentice-Hall, Englewood Cliffs
Mangaraj BK, Das DK (2008) Interactive fuzzy multi-objective programming in land re-organisational planning for sustainable rural development. World Academy Sci Eng Tech 47:104–113
Manikumari N, Murugappan A (2008) Fuzzy logic based model for optimization of tank irrigation system. J Eng Appl Sci 3(2):199–202
Mannocchi F, Mecarelli P (1994) Optimization analysis of deficit irrigation systems. J Irrig Drain Eng (ASCE) 120(3):484–503
Mohaddes SA, Mohayidin MG (2008) Application of the fuzzy approach for agricultural production planning in a watershed, a case study of the Atrak watershed, Iran. American-Eurasian J Agric Environ Sci 3(4):636–648
Mohaddes SA, Ghazali M, Rahim KA, Nasir M, Kamaid AV (2008) Fuzzy environmental-economic model for land use planning. American-Eurasian J Agric Environ Sci 3(6):850–854
Morales JC, Marino MA, Hozapfel EA (1992) Planning simulation model of irrigation district. J Irrig Drain Eng (ASCE) 118(1):74–87
Raju KS, Duckstein L (2003) Multiobjective fuzzy linear programming for sustainable irrigation planning: an Indian case study. Soft Comput 7:412–418
Raju KS, Nagesh Kumar D (2000a) Optimum cropping pattern for sri Ram sagar project: a linear programming approach. J Appl Hydrol XIII(1–2):57–67
Raju KS, Nagesh Kumar D (2000b) Irrigation planning of sri Ram sagar project using multi objective fuzzy linear programming. ISH J Hydraul Eng 6(1):55–63
Raju KS, Nagesh Kumar D (2005) Fuzzy multicriterion decision making in irrigation planning. Irrig Drain 54:455–465
Raman H, Mohan S, Rangacharya NCV (1992) Decision support system for crop planning during droughts. J Irrig Drain Eng (ASCE) 118(2):229–241
Ray I, Gul S (1999) More from less: policy options and farmers choice under water scarcity. Irrig Drain Syst 13:361–383
Regulwar DG, Anand Raj P (2008) Development of 3-D optimal surface for operation policies of a multireservoir in fuzzy environment using genetic algorithm for river basin development and management. Water Resour Manag 22:595–610
Regulwar DG, Anand Raj P (2009) Multi objective multireservoir optimization in fuzzy environment for river sub basin development and management. J Water Resour Protec 4:271–280
Regulwar DG, Gurav JB (2010) Fuzzy approach based management model for irrigation planning. J Water Resour Protec 2:545–554
Sahoo B, Lohani AK, Sahu RK (2006) Fuzzy multiobjective and linear programming based management models for optimal land-water-crop systems planning. Water Resour Manag 20:931–948
Sethi L, Nagesh Kumar D, Panda SN, Mal BC (2002) Optimal crop planning and conjunctive use of water resources in a coastal river basin. Water Resour Manag 16:145–169
Sonmez FK, Altin M (2004) Irrigation scheduling and optimum cropping pattern with adequate and deficit water supply for mid-sized farms of Harran plain. Pak J Biol Sci 7(8):1414–1418
The Report of Commissionerate of Agriculture Maharashtra State (2006) Agricultural Statistical Information Maharashtra State, India, part-II
Toyonaga T, Itoh T, Ishii H (2005) A crop planning problem with fuzzy random profit coefficients. Fuzzy Optim Decis Making 4:51–69
Tsakiris G, Spiliotis M (2006) Cropping pattern planning under water supply from multiple sources. Irrig Drain Syst 20:57–68
Vedula S, Mujumdar PP (2005) Water resources systems modelling techniques and analysis. McGraw Hill, New Delhi
Zaho Y, Zhang D, Tang Y, Wang J, Zheng L (2009) An optimal model of a agriculture circular system for paddy & edible fungus & dry land. Int J Manag Sci Eng Manag 4(4):302–310
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Regulwar, D.G., Gurav, J.B. Irrigation Planning Under Uncertainty—A Multi Objective Fuzzy Linear Programming Approach. Water Resour Manage 25, 1387–1416 (2011). https://doi.org/10.1007/s11269-010-9750-5
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DOI: https://doi.org/10.1007/s11269-010-9750-5