An inexact chance-constrained programming model for water quality management in Binhai New Area of Tianjin, China.

In this study, an inexact-chance-constrained water quality management (ICC-WQM) model is developed for planning regional environmental management under uncertainty. This method is based on an integration of interval linear programming (ILP) and chance-constrained programming (CCP) techniques. ICC-WQM allows uncertainties presented as both probability distributions and interval values to be incorporated within a general optimization framework. Complexities in environmental management systems can be systematically reflected, thus applicability of the modeling process can be highly enhanced. The developed method is applied to planning chemical-industry development in Binhai New Area of Tianjin, China. Interval solutions associated with different risk levels of constraint violation have been obtained. They can be used for generating decision alternatives and thus help decision makers identify desired policies under various system-reliability constraints of water environmental capacity of pollutant. Tradeoffs between system benefits and constraint-violation risks can also be tackled. They are helpful for supporting (a) decision of wastewater discharge and government investment, (b) formulation of local policies regarding water consumption, economic development and industry structure, and (c) analysis of interactions among economic benefits, system reliability and pollutant discharges.

[1]  J. Eheart,et al.  Aquifer remediation design under uncertainty using a new chance constrained programming technique , 1993 .

[2]  Peter A. Vanrolleghem,et al.  Uncertainty in the environmental modelling process - A framework and guidance , 2007, Environ. Model. Softw..

[3]  Subhankar Karmakar,et al.  An inexact optimization approach for river water-quality management. , 2006, Journal of environmental management.

[4]  P. P. Mujumdar,et al.  Grey fuzzy optimization model for water quality management of a river system , 2006 .

[5]  Kenneth H. Reckhow,et al.  CONFIRMATION OF WATER QUALITY MODELS , 1983 .

[6]  S. Chapra.  Surface Water-Quality Modeling , 1996 .

[7]  Gabriele Freni,et al.  Assessment of the integrated urban water quality model complexity through identifiability analysis. , 2011, Water research.

[8]  Gordon H. Huang,et al.  An integrated fuzzy-stochastic modeling approach for risk assessment of groundwater contamination. , 2007, Journal of environmental management.

[9]  P. Willems.  Quantification and relative comparison of different types of uncertainties in sewer water quality modeling. , 2008, Water research.

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

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

[12]  T. M. Williams,et al.  Optimizing Methods in Statistics , 1981 .

[13]  Charles ReVelle,et al.  A siting model for regional wastewater treatment systems: The chain configuration case , 1988 .

[14]  J. Ball,et al.  An assessment of the availability of pollutant constituents on road surfaces , 1998 .

[15]  M. Zare,et al.  A linear approximation method for solving a special class of the chance constrained programming problem , 1995 .

[16]  Y. P. Li,et al.  A multistage fuzzy-stochastic programming model for supporting sustainable water-resources allocation and management , 2009, Environ. Model. Softw..

[17]  Gerd Infanger,et al.  Monte Carlo (importance) sampling within a benders decomposition algorithm for stochastic linear programs , 1991, Ann. Oper. Res..

[18]  Xiaodong Zhang,et al.  Optimal decision schemes for agricultural water quality management planning with imprecise objective , 2009 .

[19]  Vincent Linderhof,et al.  General equilibrium modelling of the direct and indirect economic impacts of water quality improvements in the Netherlands at national and river basin scale , 2008 .

[20]  Ni-Bin Chang,et al.  Water pollution control in the river basin by fuzzy genetic algorithm-based multiobjective programming modeling , 1998 .

[21]  P P Mujumdar,et al.  An imprecise fuzzy risk approach for water quality management of a river system. , 2009, Journal of environmental management.

[22]  Hugh Ellis,et al.  A joint chance-constrained programming model with row dependence , 1994 .

[23]  S. M. Wu,et al.  An interactive inexact-fuzzy approach for multiobjective planning of water resource systems , 1997 .

[24]  Subhankar Karmakar,et al.  A two-phase grey fuzzy optimization approach for water quality management of a river system , 2007 .

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

[26]  T. Ternes,et al.  Behaviour and occurrence of estrogens in municipal sewage treatment plants--II. Aerobic batch experiments with activated sludge. , 1999, The Science of the total environment.

[27]  R. Słowiński.  A multicriteria fuzzy linear programming method for water supply system development planning , 1986 .

[28]  Edward A. McBean,et al.  Application of nonlinear optimization to water quality , 1987 .

[29]  Guohe Huang,et al.  Grey Dynamic Programming for Waste‐Management Planning under Uncertainty , 1994 .

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

[31]  A. Charnes,et al.  CHANCE-CONSTRAINED PROGRAMMING: AN EXTENSION OF STATISTICAL METHOD , 1971 .

[32]  T. B. M. J. Ouarda,et al.  Chance-constrained optimal control for multireservoir system optimization and risk analysis , 2001 .

[33]  T. D. Fletcher,et al.  Analysis of parameter uncertainty of a flow and quality stormwater model. , 2009, Water science and technology : a journal of the International Association on Water Pollution Research.

[34]  Nikolaos S Thomaidis,et al.  Evaluation of the pollution of the surface waters of Greece from the priority compounds of list II, 76/464/EEC directive, and other toxic compounds. , 2004, Environment international.

[35]  Abraham Charnes,et al.  Response to Decision Problems Under Risk and Chance Constrained Programming: Dilemmas in the Transition , 1983 .

[36]  Zhi Chen,et al.  Environmental risk assessment of offshore produced water discharges using a hybrid fuzzy-stochastic modeling approach , 2010, Environmental Modelling & Software.

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

[38]  Yi Liu,et al.  Regional industrial production's spatial distribution and water pollution control: a plant-level aggregation method for the case of a small region in China. , 2009, The Science of the total environment.

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

[40]  Patrick Willems,et al.  Relative comparison of different types of uncertainties in sewer water quality modelling , 2005 .

[41]  Gabriele Freni,et al.  Uncertainty in urban stormwater quality modelling: the influence of likelihood measure formulation in the GLUE methodology. , 2009, The Science of the total environment.

[42]  Rohitash Chandra,et al.  Renosterveld Conservation in South Africa: A Case Study for Handling Uncertainty in Knowledge-Based Neural Networks for Environmental Management , 2009 .

[43]  R. Thomann,et al.  Principles of surface water quality modeling and control , 1987 .

[44]  Tamás Szántai,et al.  Stochastic programming in water management: A case study and a comparison of solution techniques , 1991 .

[45]  G. H. Huang,et al.  A fuzzy-stochastic robust programming model for regional air quality management under uncertainty , 2003 .

[46]  C Maksimović,et al.  Integrating river basin management and the coastal zone: the (blue) Danube and the (black) sea. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

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

[48]  Donald J. O'Connor,et al.  Mechanism of Reaeration in Natural Streams , 1958 .

[49]  Ross B. Corotis,et al.  Stochastic programs for identifying critical structural collapse mechanisms , 1991 .

[50]  Gordon H. Huang,et al.  Two-stage planning for sustainable water-quality management under uncertainty. , 2009, Journal of environmental management.

[51]  N B Chang,et al.  Identification of river water quality using the fuzzy synthetic evaluation approach. , 2001, Journal of environmental management.

[52]  Tenley M. Conway,et al.  Alternative land use regulations and environmental impacts: assessing future land use in an urbanizing watershed , 2005 .

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

[54]  M. Naceur Azaiez,et al.  A chance-constrained multi-period model for a special multi-reservoir system , 2005, Comput. Oper. Res..

[55]  M. Roubens,et al.  Comparison of methodologies for fuzzy and stochastic multi-objective programming , 1991 .

[56]  Fushuan Wen,et al.  A chance constrained programming approach to transmission system expansion planning , 2005 .