A two-stage inexact joint-probabilistic programming method for air quality management under uncertainty.

A two-stage inexact joint-probabilistic programming (TIJP) method is developed for planning a regional air quality management system with multiple pollutants and multiple sources. The TIJP method incorporates the techniques of two-stage stochastic programming, joint-probabilistic constraint programming and interval mathematical programming, where uncertainties expressed as probability distributions and interval values can be addressed. Moreover, it can not only examine the risk of violating joint-probability constraints, but also account for economic penalties as corrective measures against any infeasibility. The developed TIJP method is applied to a case study of a regional air pollution control problem, where the air quality index (AQI) is introduced for evaluation of the integrated air quality management system associated with multiple pollutants. The joint-probability exists in the environmental constraints for AQI, such that individual probabilistic constraints for each pollutant can be efficiently incorporated within the TIJP model. The results indicate that useful solutions for air quality management practices have been generated; they can help decision makers to identify desired pollution abatement strategies with minimized system cost and maximized environmental efficiency.

[1]  Kostas Karatzas.  Theoretical Investigation of Urban Air Quality Management Systems Performance Towards Simplified Strategic Environmental Planning , 2002 .

[2]  John R. Birge,et al.  Introduction to Stochastic programming (2nd edition), Springer verlag, New York , 2011 .

[3]  Fan Zhang,et al.  A genetic algorithm based stochastic programming model for air quality management. , 2002, Journal of environmental sciences.

[4]  Jhih-Shyang Shih,et al.  An optimization model for photochemical air pollution control , 1998, Eur. J. Oper. Res..

[5]  Guohe Huang,et al.  An Inexact Fuzzy-robust Two-stage Programming Model for Managing Sulfur Dioxide Abatement Under Uncertainty , 2008 .

[6]  Shabbir Ahmed,et al.  Strategic Planning Under Uncertainty: Stochastic Integer Programming Approaches , 2000 .

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

[8]  Jiming Hao,et al.  Improving Urban Air Quality in China: Beijing Case Study , 2005, Journal of the Air and Waste Management Association.

[9]  David C. Carslaw,et al.  Estimations of road vehicle primary NO2 exhaust emission fractions using monitoring data in London , 2005 .

[10]  Shuiyuan Cheng,et al.  A gaussian-box modeling approach for urban air quality management in a Northern Chinese City—II. pollutant emission abatement , 2007 .

[11]  Li He,et al.  An Interval-Parameter Fuzzy-Stochastic Programming Approach for Air Quality Management under Uncertainty , 2008 .

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

[13]  Y. P. Li,et al.  Interval-parameter robust optimization for environmental management under uncertainty , 2009 .

[14]  Yukoh Ikeda,et al.  A Mixed-Integer Optimization Technique for Developing a Sulfur Emission Control Strategy for China , 2001 .

[15]  W. T. Davis,et al.  Air Pollution: Its Origin and Control , 1976 .

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

[17]  James G. Morris,et al.  Decision Problems Under Risk and Chance Constrained Programming: Dilemmas in the Transition , 1981 .

[18]  Gordon H. Huang,et al.  IPWM: AN INTERVAL PARAMETER WATER QUALITY MANAGEMENT MODEL , 1996 .

[19]  S R Ranjithan,et al.  Application of Genetic Algorithms for the Design of Ozone Control Strategies , 2000, Journal of the Air & Waste Management Association.

[20]  Douglas A. Haith.  Environmental systems optimization , 1982 .

[21]  Hidetomo Ichihashi,et al.  Fuzzy Programming: A Survey of Recent Developments , 1990 .

[22]  H. Mayer.  Air pollution in cities , 1999 .

[23]  M. Macchiato,et al.  Atmospheric Emission Reduction and Abatement Costs in Regional Environmental Planning , 1994 .

[24]  Raul P. Lejano,et al.  RESEARCH: Optimizing the Mix of Strategies for Control of Vehicular Emissions , 1997, Environmental management.

[25]  B. L. Miller,et al.  Chance Constrained Programming with Joint Constraints , 1965 .

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

[27]  G. Huang,et al.  Grey integer programming: An application to waste management planning under uncertainty , 1995 .

[28]  J. Milford,et al.  Reliability of optimal control strategies for photochemical air pollution. , 2001, Environmental science & technology.

[29]  J. Fraser Forbes,et al.  Real-time optimization under parametric uncertainty: a probability constrained approach , 2002 .

[30]  Daniel S Cohan,et al.  An Integrated Framework for Multipollutant Air Quality Management and Its Application in Georgia , 2007, Environmental management.

[31]  K. S. Chen,et al.  An optimization study of total emission controls for particulate pollutants , 1995 .

[32]  Jan A. Snyman,et al.  Minimizing the effect of automotive pollution in urban geometry using mathematical optimization , 2001 .

[33]  P. Barber,et al.  Remote sensing of PM, NO, CO and HC emission factors for on-road gasoline and diesel engine vehicles in Las Vegas, NV. , 2003, The Science of the total environment.

[34]  Guohe Huang,et al.  ITCLP: An inexact two-stage chance-constrained program for planning waste management systems , 2007 .

[35]  Guohe Huang,et al.  Interval-Based Air Quality Index Optimization Model for Regional Environmental Management Under Uncertainty , 2009 .

[36]  Marialuisa Volta,et al.  Multi-objective analysis of ground-level ozone concentration control. , 2004, Journal of environmental management.

[37]  J. Wayland Eheart,et al.  A Screening Technique for Joint Chance-Constrained Programming for Air-Quality Management , 2007, Oper. Res..

[38]  Bert Brunekreef,et al.  GIS-Based Estimation of Exposure to Particulate Matter and NO2 in an Urban Area: Stochastic versus Dispersion Modeling , 2005, Environmental health perspectives.

[39]  J. Longhurst,et al.  Air quality management: evolution of policy and practice in the UK as exemplified by the experience of English local government , 2001 .

[40]  R. Jagannathan,et al.  Chance-Constrained Programming with Joint Constraints , 1974, Oper. Res..

[41]  Lei Liu,et al.  Two-Stage Fuzzy-Stochastic Robust Programming: A Hybrid Model for Regional Air Quality Management , 2006, Journal of the Air & Waste Management Association.

[42]  A. Clappier,et al.  A Metamodeling Approach for Integrated Assessment of Air Quality Policies , 2004 .

[43]  R. Słowiński,et al.  Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty , 1990, Theory and Decision Library.

[44]  Guohe Huang,et al.  A Genetic-Algorithm-Aided Stochastic Optimization Model for Regional Air Quality Management under Uncertainty , 2010, Journal of the Air & Waste Management Association.

[45]  Henning Sten Hansen,et al.  A Danish decision-support GIS tool for management of urban air quality and human exposures , 2001 .

[46]  O Ozden,et al.  Assessment of ambient air quality in Eskişehir, Turkey. , 2008, Environment international.

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

[48]  Guohe Huang,et al.  Water Resources Management and Planning under Uncertainty: an Inexact Multistage Joint-Probabilistic Programming Method , 2009 .

[49]  Nikolaos V. Sahinidis,et al.  An Approximation Scheme for Stochastic Integer Programs Arising in Capacity Expansion , 2003, Oper. Res..

[50]  Tullio Zolezzi.  Well-Posedness and Optimization under Perturbations , 2001, Ann. Oper. Res..

[51]  Ni-Bin Chang,et al.  Optimal planning of co-firing alternative fuels with coal in a power plant by grey nonlinear mixed integer programming model. , 2008, Journal of environmental management.

[52]  Edward A. McBean,et al.  Chance-constrained/stochastic linear programming model for acid rain abatement—II. Limited colinearity , 1986 .

[53]  Roberto San José García,et al.  An integrated multi-model approach for air quality assessment: Development and evaluation of the OSCAR Air Quality Assessment System , 2008, Environ. Model. Softw..

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

[55]  Anurag Kandya,et al.  An Analysis of the Annual and Seasonal Trends of Air Quality Index of Delhi , 2007, Environmental monitoring and assessment.

[56]  T Y Yu,et al.  Optimized combinations of abatement strategies for urban mobile sources. , 2000, Chemosphere.

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

[58]  R. Carel.  Chapter 3 – Health Aspects of Air Pollution , 1998 .

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

[60]  N. S. Leksmono,et al.  Assessment of the relationship between industrial and traffic sources contributing to air quality objective exceedences: a theoretical modelling exercise , 2006, Environ. Model. Softw..

[61]  Guohe Huang,et al.  Long-Term Planning of an Integrated Solid Waste Management System under Uncertainty—I. Model Development , 2005 .

[62]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[63]  F. Costabile,et al.  A preliminary assessment of major air pollutants in the city of Suzhou, China , 2006 .