Inexact rough-interval two-stage stochastic programming for conjunctive water allocation problems.

An inexact rough-interval two-stage stochastic programming (IRTSP) method is developed for conjunctive water allocation problems. Rough intervals (RIs), as a particular case of rough sets, are introduced into the modeling framework to tackle dual-layer information provided by decision makers. Through embeding upper and lower approximation intervals, rough intervals are capable of reflecting complex parameters with the most reliable and possible variation ranges being identified. An interactive solution method is also derived. A conjunctive water-allocation system is then structured for characterizing the proposed model. Solutions indicate a detailed optimal allocation scheme with a rough-interval form; a total of [[1048.83, 2078.29]:[1482.26, 2020.60]] would be obtained under the pre-regulated inputs. Comparisons of the proposed model to a conventional and an interval two-stage stochastic programming model are also conducted. The results indicate that the optimal objective function values of TSP and ITSP always fall into the range of f(opt)(+/-(UAI)), while they are sometimes out of the range of f(opt)(+/-(LAI)); the optimal solutions of decision variables also present this feature. This implies the reliability of IRTSP in handling conjunctive water allocation problems.

[1]  M. Rebolledo,et al.  Rough intervals - enhancing intervals for qualitative modeling of technical systems , 2006, Artif. Intell..

[2]  Reza Maknoon,et al.  Conjunctive Use of Ground and Surface Water , 1978 .

[3]  Dapei Wang,et al.  Optimization of Real‐Time Reservoir Operations With Markov Decision Processes , 1986 .

[4]  Li He,et al.  Greenhouse Gas Mitigation-Induced Rough-Interval Programming for Municipal Solid Waste Management , 2008, Journal of the Air & Waste Management Association.

[5]  Reza Ardakanian,et al.  Multi-criteria Decision Making for Integrated Urban Water Management , 2008 .

[6]  Guangming Zeng,et al.  An Inexact Two-stage Fuzzy-stochastic Programming Model for Water Resources Management , 2008 .

[7]  Li He,et al.  An Interval Mixed-Integer Semi-Infinite Programming Method for Municipal Solid Waste Management , 2009, Journal of the Air & Waste Management Association.

[8]  Guangming Zeng,et al.  Identification of Optimal Urban Solid Waste Flow Schemes under Impacts of Energy Prices , 2008 .

[9]  Li He,et al.  A Two-Step Infinite α-Cuts Fuzzy Linear Programming Method in Determination of Optimal Allocation Strategies in Agricultural Irrigation Systems , 2009 .

[10]  G H Huang,et al.  A system dynamics approach for regional environmental planning and management: a study for the Lake Erhai Basin. , 2001, Journal of environmental management.

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

[12]  M. Naceur Azaiez,et al.  A single-period model for conjunctive use of ground and surface water under severe overdrafts and water deficit , 2001, Eur. J. Oper. Res..

[13]  M. Lambert,et al.  Benchmark Tests of Evolutionary Algorithms: Mathematic Evaluation and Application to Water Distribution Systems , 2006 .

[14]  Keith W. Hipel,et al.  Water Resources Allocation: A Cooperative Game Theoretic Approach , 2003 .

[15]  Li He,et al.  Identifying optimal regional solid waste management strategies through an inexact integer programming model containing infinite objectives and constraints. , 2009, Waste management.

[16]  Guohe Huang,et al.  AN INEXACT TWO-STAGE STOCHASTIC PROGRAMMING MODEL FOR WATER RESOURCES MANAGEMENT UNDER UNCERTAINTY , 2000 .

[17]  Manuel Pulido-Velazquez,et al.  Economic Optimization of Conjunctive Use of Surface Water and Groundwater at the Basin Scale , 2006 .

[18]  Guo H. Huang,et al.  Wavelet-based multiresolution analysis for data cleaning and its application to water quality management systems , 2008, Expert Syst. Appl..

[19]  V. Jothiprakash,et al.  Development of Priority-Based Policies for Conjunctive Use of Surface and Groundwater , 2003 .

[20]  B. J. Wang,et al.  Optimization of Semiconductor Processing Water Management Strategy , 2005 .

[21]  Li He,et al.  Optimization of surfactant-enhanced aquifer remediation for a laboratory BTEX system under parameter uncertainty. , 2008, Environmental science & technology.

[22]  Guohe Huang,et al.  A GREY LINEAR PROGRAMMING APPROACH FOR MUNICIPAL SOLID WASTE MANAGEMENT PLANNING UNDER UNCERTAINTY , 1992 .

[23]  Daniel Olsen,et al.  Decision Support System for Rural Water Supply in the Nilgiris District of South India , 2006 .

[24]  M. V. F. Pereira,et al.  Multi-stage stochastic optimization applied to energy planning , 1991, Math. Program..

[25]  H. Orth,et al.  A Combined Water Management Approach Based on River Water Quality Standards , 2004 .

[26]  M. Llamas,et al.  Intensive use of groundwater : challenges and opportunities , 2003 .

[27]  Li He,et al.  A semi-infinite analysis-based inexact two-stage stochastic fuzzy linear programming approach for water resources management , 2009 .

[28]  Mohammad Karamouz,et al.  Application of Genetic Algorithms and Artificial Neural Networks in Conjunctive Use of Surface and Groundwater Resources , 2007 .

[29]  A. K. Lohani,et al.  Fuzzy Multiobjective and Linear Programming Based Management Models for Optimal Land-Water-Crop System Planning , 2006 .

[30]  Jack J. Coe.  Conjunctive use-advantages, constraints, and examples. , 1990 .

[31]  Guo H. Huang,et al.  A probabilistic reasoning-based decision support system for selection of remediation technologies for petroleum-contaminated sites , 2006, Expert Syst. Appl..