FSWM: A hybrid fuzzy-stochastic water-management model for agricultural sustainability under uncertainty

A hybrid fuzzy-stochastic water-management (FSWM) model is developed for agricultural sustainability under uncertainty, based on advancement of a multistage fuzzy-stochastic quadratic programming (MFSQP) approach. In MFSQP, uncertainties presented in terms of fuzziness and randomness can be incorporated within a multilayer scenario tree, such that revised decisions are permitted in each time period based on the realized values of the uncertain events. Moreover, fuzzy quadratic terms are used in the objective function to minimize the variation of satisfaction degrees among the constraints; it allows an increased flexibility in controlling the system risk in the optimization process. Results of the case study indicate that useful solutions for the planning of agricultural water management have been obtained. In the FSWM model, a number of policies for agricultural water supply are conducted. The results obtained can help decision makers to identify desired water-allocation schemes for agricultural sustainability under uncertainty, particularly when limited water resources are available for multiple competing users.

[1]  S. Nie,et al.  Interval-parameter robust quadratic programming for water quality management under uncertainty , 2008 .

[2]  Y. P. Li,et al.  IFMP: Interval-fuzzy multistage programming for water resources management under uncertainty , 2008 .

[3]  I. Maqsood,et al.  ASRWM: an arid/semiarid region water management model , 2005 .

[4]  Taslima Akter,et al.  Aggregation of fuzzy views of a large number of stakeholders for multi-objective flood management decision-making. , 2005, Journal of environmental management.

[5]  Y. P. Li,et al.  Mixed interval–fuzzy two-stage integer programming and its application to flood-diversion planning , 2007 .

[6]  Guohe Huang,et al.  WASTE FLOW ALLOCATION PLANNING THROUGH A GREY FUZZY QUADRATIC PROGRAMMING APPROACH , 1994 .

[7]  Luis S. Pereira,et al.  Multi-scale modeling for water resources planning and management in rural basins , 2005 .

[8]  Luis S. Pereira,et al.  Irrigation management under water scarcity , 2002 .

[9]  Jean-Marc Martel,et al.  A Multiobjective Fuzzy Stochastic Program For Water Resources Optimization: The Case Of Lake Management , 2004 .

[10]  John R. Birge,et al.  Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs , 1985, Oper. Res..

[11]  Luis S. Pereira,et al.  GISAREG - A GIS Based Irrigation Scheduling Simulation Model , 2004 .

[12]  R. Harboe,et al.  Fuzzy multiple-criteria decision making for crop area planning in Narmada river basin. , 2000 .

[13]  Axel Bronstert,et al.  Integrated modelling of water availability and water use in the semi-arid Northeast of Brazil , 2000 .

[14]  Robert S. Womersley,et al.  Multistage quadratic stochastic programming , 2001 .

[15]  M. Naceur Azaiez,et al.  A model for conjunctive use of ground and surface water with opportunity costs , 2002, Eur. J. Oper. Res..

[16]  G. H. Huang,et al.  A hybrid inexact-stochastic water management model , 1998, Eur. J. Oper. Res..

[17]  H. Ishibuchi,et al.  Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters , 1990 .

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

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

[20]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[21]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[22]  David I Blockley,et al.  Decision making with fuzzy quadratic programming , 1990 .

[23]  David H. Marks,et al.  Containing groundwater contamination: Planning models using stochastic programming with recourse , 1994 .

[24]  Chih-Sheng Lee,et al.  Interactive fuzzy optimization for an economic and environmental balance in a river system. , 2005, Water research.

[25]  P. P. Mujumdar,et al.  A stochastic dynamic programming model for stream water quality management , 2004 .

[26]  W. R. Buckland,et al.  Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. , 1952 .

[27]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[28]  G. H. Huang,et al.  An Interval-Parameter Fuzzy-Stochastic Programming Approach for Municipal Solid Waste Management and Planning , 2001 .

[29]  S. Giove,et al.  Optimizing a quadratic function with fuzzy linear coefficients , 1991 .

[30]  Jiafu Tang,et al.  An interactive approach based on a genetic algorithm for a type of quadratic programming problems with fuzzy objective and resources , 1997, Comput. Oper. Res..

[31]  B. C. Mal,et al.  Optimal Crop Planning and Conjunctive Use of Water Resources in a Coastal River Basin , 2002 .

[32]  R. Tiwari,et al.  Fuzzy goal programming- an additive model , 1987 .

[33]  Yan Li,et al.  An Inexact Two-Stage Quadratic Program for Water Resources Planning , 2007 .

[34]  E. E. Ammar,et al.  On fuzzy random multiobjective quadratic programming , 2009, Eur. J. Oper. Res..

[35]  Gordon H. Huang,et al.  An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty , 2006 .

[36]  Guna N. Paudyal,et al.  A nonlinear chance constrained model for irrigation planning. , 1990 .

[37]  Ni-Bin Chang,et al.  A grey fuzzy multiobjective programming approach for the optimal planning of a reservoir watershed. Part A: Theoretical development , 1996 .

[38]  Keith W. Hipel,et al.  Interior-Point Method for Reservoir Operation with Stochastic Inflows , 2001 .

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

[40]  Russell L. Ackoff,et al.  Creativity in problem solving and planning: a review , 1981 .

[41]  Y. P. Li,et al.  Fuzzy two-stage quadratic programming for planning solid waste management under uncertainty , 2007, Int. J. Syst. Sci..

[42]  Alain Haurie,et al.  A stochastic programming approach to manufacturing flow control , 2000 .

[43]  Ni-Bin Chang,et al.  A fuzzy interval multiobjective mixed integer programming approach for the optimal planning of solid waste management systems , 1997, Fuzzy Sets Syst..

[44]  Daniel P. Loucks,et al.  Interactive Water Resources Modeling and Model Use: An Overview , 1985 .

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

[46]  Guo H. Huang,et al.  An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty , 2005, Eur. J. Oper. Res..