Mathematical Tools for Irrigation Water Management

Abstract Irrigation water management has significant economic implications in developing countries like India. While the structural infrastructure has been created with a huge financial investment in these countries, it is vital that appropriate non-structural measures be adopted for efficient water management. Scientific policies of operation of irrigation reservoir systems need to be developed with the aid of mathematical tools and implemented in practice. In this paper, a brief overview of some mathematical tools for irrigation system operation, crop water allocations and performance evaluation is presented, with a discussion on the work carried out in India by the author's team. Recent tools and techniques of fuzzy optimization and fuzzy inference systems that incorporate imprecision in management goals and constraints and that address the interests of stakeholders are also discussed. Perceptions on issues relating to applicability of the tools to real-life problems, existing gaps between theory and practice and possible hurdles in narrowing such gaps in developing countries are presented.

[1]  P. P. Mujumdar,et al.  Real‐time reservoir operation for irrigation , 1997 .

[2]  T. R. Neelakantan,et al.  Mixed-Integer Programming Model for Reservoir Performance Optimization , 1999 .

[3]  S. Vedula,et al.  An Integrated Model for Optimal Reservoir Operation for Irrigation of Multiple Crops , 1996 .

[4]  Jonathan Barnes,et al.  Optimal Allocation of Irrigation Water Supplies in Real Time , 1999 .

[5]  Hans-Jürgen Zimmermann,et al.  Applications of fuzzy set theory to mathematical programming , 1985, Inf. Sci..

[6]  Jim C. Loftis,et al.  Irrigation water delivery system operation via aggregate state dynamic programming , 1988 .

[7]  Dragan Savic,et al.  Intelligent Decision Support and Reservoir Management and Operations , 1989 .

[8]  T. C. Hughes,et al.  APPLICATION OF CROP YIELD FUNCTIONS IN RESERVOIR OPERATION1 , 1991 .

[9]  P. B. S. Sarma WATER RESOURCES AND THEIR MANAGEMENT FOR SUSTAINABLE AGRICULTURAL PRODUCTION IN INDIA , 2002 .

[10]  Vijay K. Minocha,et al.  Fuzzy optimization model for water quality management of a river system - Closure , 1999 .

[11]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[12]  Keith W. Hipel,et al.  Fuzzy Relation Analysis for Multicriteria Water Resources Management , 1999 .

[13]  Singiresu S Rao Optimization Using Fuzzy Set Theory , 1992 .

[14]  J. Doorenbos,et al.  Yield response to water , 1979 .

[15]  K. Venugopal,et al.  Optimal Operation of South Indian Irrigation Systems , 1998 .

[16]  Lucien Duckstein,et al.  Fuzzy Rule-Based Modeling of Reservoir Operation , 1996 .

[17]  Aftab H. Azhar,et al.  Modeling Irrigation Schedules for Lowland Rice with Stochastic Rainfall , 1992 .

[18]  Slobodan P. Simonovic,et al.  Reservoir Systems Analysis: Closing Gap between Theory and Practice , 1992 .

[19]  Slobodan P. Simonovic,et al.  One View of the Future , 2000 .

[20]  K. Srinivasan,et al.  Effect of Hedging on Over-Year Reservoir Performance , 1998 .

[21]  Timothy K. Gates,et al.  Planning Reservoir Operations with Imprecise Objectives , 1997 .

[22]  P. P. Mujumdar,et al.  Performance evaluation of an irrigation system under some optimal operating policies , 1992 .

[23]  Norman J. Dudley,et al.  Integrating irrigation water demand, supply, and delivery management in a stochastic environment , 1993 .

[24]  Slobodan P. Simonovic,et al.  Aggregation operators for soft decision making in water resources , 2000, Fuzzy Sets Syst..

[25]  P. P. Mujumdar,et al.  Optimal reservoir operation for irrigation of multiple crops , 1992 .

[26]  Subhash Chander,et al.  Real-time adaptive irrigation scheduling under a limited water supply , 1992 .

[27]  D. Nagesh Kumar,et al.  Optimal Irrigation Allocation: A Multilevel Approach , 2000 .

[28]  Norman J. Dudley,et al.  A single decision‐maker approach to irrigation reservoir and farm management decision making , 1988 .

[29]  P. P. Mujumdar,et al.  Reservoir Operation Modelling with Fuzzy Logic , 2000 .

[30]  Guna N. Paudyal,et al.  Irrigation planning by multilevel optimization , 1990 .

[31]  Francesco Mannocchi,et al.  Optimization Analysis of Deficit Irrigation Systems , 1994 .

[32]  Slobodan P. Simonovic,et al.  A fuzzy compromise approach to water resource systems planning under uncertainty , 2000, Fuzzy Sets Syst..

[33]  Hans-Jürgen Zimmermann,et al.  Applications of fuzzy set theory to mathematical programming , 1985, Inf. Sci..

[34]  G. B. Sahoo,et al.  Reservoir release policy for large irrigation system , 2001 .

[35]  Arif A. Anwar,et al.  Irrigation Scheduling Using Mixed-Integer Linear Programming , 2001 .

[36]  Janusz Kindler Rationalizing Water Requirements with Aid of Fuzzy Allocation Model , 1992 .

[37]  Samuel O. Russell,et al.  Reservoir Operating Rules with Fuzzy Programming , 1996 .

[38]  J. Stedinger,et al.  Water resource systems planning and analysis , 1981 .

[39]  Slobodan P. Simonovic,et al.  Modeling uncertainty in reservoir loss functions using fuzzy sets , 1999 .

[40]  Slobodan P. Simonovic,et al.  Two New Non-structural Measures for Sustainable Management of Floods , 2002 .

[41]  Subhash Chander,et al.  Optimal multicrop allocation of seasonal and intraseasonal irrigation water , 1990 .

[42]  Slobodan P. Simonovic Knowledge-based systems and operational hydrology , 1991 .

[43]  Slobodan P. Simonovic,et al.  A decision support tool for evaluation of impacts of flood management policies , 2001 .

[44]  Daniel P. Loucks,et al.  Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation , 1982 .

[45]  Jorge A. Ramírez,et al.  Optimal Stochastic Multicrop Seasonal and Intraseasonal Irrigation Control , 1997 .