Water Resources Management Models Based on Two-Level Linear Fractional Programming Method under Uncertainty

AbstractA two-level linear fractional water management (TLFWM) model based on interactive fuzzy programming is developed. The model can solve multi-objective problems quantitatively, particularly for the ratio multi-objective problems (e.g., benefit per unit of water in water resources management system). Furthermore, it takes the cooperation relationship between decision makers into consideration. Considering the stochastic features of runoff, chance-constrained programming is integrated into the TLFWM model framework. A stochastic two-level linear fractional chance-constrained water management (STLFCWM) model is thus proposed with different flow levels involved in the STLFCWM model in the form of probabilities as well. The developed two models are applied to a real case study to allocate the limited water resources to different water users. The obtained solutions can demonstrate the feasibility and suitability of the TLFWM model and STLFCWM model and thus help decision makers to identify desired water r...

[1]  E. Xevi,et al.  A multi-objective optimisation approach to water management. , 2005, Journal of environmental management.

[2]  Bojan Srdjevic,et al.  Fuzzy AHP Assessment of Water Management Plans , 2008 .

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

[4]  Ping Guo,et al.  Optimization of Industrial Structure Considering the Uncertainty of Water Resources , 2013, Water Resources Management.

[5]  Jiuping Xu,et al.  Bilevel Optimization of Regional Water Resources Allocation Problem under Fuzzy Random Environment , 2013 .

[6]  Fatma Tiryaki,et al.  Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems , 2007 .

[7]  Ichiro Nishizaki,et al.  Interactive fuzzy programming for two-level nonconvex programming problems with fuzzy parameters through genetic algorithms , 2002, Fuzzy Sets Syst..

[8]  Pu Li,et al.  Simulation-Based Inexact Two-Stage Chance-Constraint Quadratic Programming for Sustainable Water Quality Management under Dual Uncertainties , 2014 .

[9]  John W. Labadie,et al.  Development of multi-objective reservoir operation rules for integrated water resources management , 2010 .

[10]  Xiaohong Chen,et al.  Fuzzy chance-constrained linear fractional programming approach for optimal water allocation , 2014, Stochastic Environmental Research and Risk Assessment.

[11]  Guangqian Wang,et al.  A Multi-objective Linear Programming Model with Interval Parameters for Water Resources Allocation in Dalian City , 2011 .

[12]  Young-Jou Lai,et al.  Hierarchical optimization: A satisfactory solution , 1996, Fuzzy Sets Syst..

[13]  Masatoshi Sakawa,et al.  Interactive fuzzy programming for fuzzy random two-level linear programming problems through probability maximization with possibility , 2013, Expert Syst. Appl..

[14]  M. Sakawa,et al.  Interactive fuzzy programming for multilevel linear programming problems , 1998 .

[15]  G H Huang,et al.  SLFP: a stochastic linear fractional programming approach for sustainable waste management. , 2011, Waste management.

[16]  Jose B. Cruz,et al.  Bi-level fuzzy optimization approach for water exchange in eco-industrial parks , 2010 .

[17]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[18]  A. Charnes,et al.  Chance-Constrained Programming , 1959 .

[19]  Honglang Xiao,et al.  Hydrological and isotopic characterization of river water, groundwater, and groundwater recharge in the Heihe River basin, northwestern China , 2011 .

[20]  Ping Guo,et al.  Interval-parameter Two-stage Stochastic Semi-infinite Programming: Application to Water Resources Management under Uncertainty , 2009 .

[21]  Ichiro Nishizaki,et al.  Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters , 2000, Fuzzy Sets Syst..

[22]  Larry W. Mays,et al.  Water Resources Sustainability: Development of a Multiobjective Optimization Model , 2014 .

[23]  Guohe Huang,et al.  Optimization Model for Planning Regional Water Resource Systems under Uncertainty , 2014 .

[24]  Gordon H. Huang,et al.  An Inexact Chance-constrained Quadratic Programming Model for Stream Water Quality Management , 2009 .

[25]  Hua Zhu,et al.  Inexact Fuzzy Chance-Constrained Nonlinear Programming Approach for Crop Water Allocation under Precipitation Variation and Sustainable Development , 2014 .

[26]  Gerd Infanger,et al.  Cut sharing for multistage stochastic linear programs with interstage dependency , 1996, Math. Program..

[27]  Xie Gao,et al.  Ecological assets valuation of the Tibetan Plateau , 2003 .

[28]  Gerrit Schoups,et al.  Sustainable conjunctive water management in irrigated agriculture: Model formulation and application to the Yaqui Valley, Mexico , 2006 .

[29]  Y. P. Li,et al.  Planning Regional Water Resources System Using an Interval Fuzzy Bi-Level Programming Method , 2010 .

[30]  Manouchehr Amini,et al.  Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach , 2010 .

[31]  R. O'Neill,et al.  The value of the world's ecosystem services and natural capital , 1997, Nature.

[32]  Chunhui Li,et al.  An inexact two-stage water management model for planning agricultural irrigation under uncertainty , 2010 .

[33]  Avi Ostfeld,et al.  Multiobjective Water Distribution Systems Control of Pumping Cost, Water Quality, and Storage-Reliability Constraints , 2014 .

[34]  David Seckler,et al.  The concept of efficiency in water resources management and policy , 2003 .

[35]  Tapan Kumar Roy,et al.  Fuzzy goal programming approach to multilevel programming problems , 2007, Eur. J. Oper. Res..

[36]  Ioana Popescu,et al.  Model-Based Optimization of Downstream Impact during Filling of a New Reservoir: Case Study of Mandaya/Roseires Reservoirs on the Blue Nile River , 2011, Water Resources Management.

[37]  Guohe Huang,et al.  Planning Agricultural Water Resources System Associated With Fuzzy and Random Features1 , 2011 .

[38]  Ichiro Nishizaki,et al.  Interactive fuzzy programming for two-level linear fractional programming problems , 2001, Fuzzy Sets Syst..