Air Quality Planning: A General Chance‐Constraint Model
- 1 February 1987
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Environmental Engineering
- Vol. 113 (1) , 106-123
- https://doi.org/10.1061/(asce)0733-9372(1987)113:1(106)
Abstract
One complex aspect of environmental planning is the stochastic planning nature of environmental impacts. Planners can evaluate alternatives more fully if the stochastic impacts of various alternatives are incorporated into the analyses. Chance‐constrained modeling techniques that are currently applied to real problems cannot incorporate many stochastic environmental impacts because of random variables that are non‐normal and statistically dependent. In addition, confidence limits of distribution parameters cannot be reflected in solutions. The planning technique proposed in this paper uses linear programming and simulation interactively to resolve these difficulties. The technique is demonstrated using a model that selects power plant sites to fulfill two planning objectives: (1) satisfaction of air quality standards; and (2) minimization of the costs of flue gas treatment and electrical transmission. The stochastic environmental impacts that must be controlled are the impacts from power plants. Relying on the nonparametric method of order statistics, this modeling technique can incorporate random variables of any distribution. Furthermore, confidence limits selected by the model user are obtained. This modeling technique is applicable to any environmental planning problem where the stochastic environmental impacts can be modeled with impact coefficients.
Keywords
This publication has 18 references indexed in Scilit:
- Single Sources in Class II PSD AreasJournal of the Air Pollution Control Association, 1980
- Statistical Dependence of Hourly Carbon Monoxide MeasurementsJournal of the Air Pollution Control Association, 1979
- Estimating Costs of Flue Gas Desulfurization Systems for Utility BoilersJournal of the Air Pollution Control Association, 1976
- Formal models in the design of water resource systemsWater Resources Research, 1965
- Chance Constraints and Normal DeviatesJournal of the American Statistical Association, 1962
- The Cutting-Plane Method for Solving Convex ProgramsJournal of the Society for Industrial and Applied Mathematics, 1960
- Tables for Obtaining Non-parametric Tolerance LimitsThe Annals of Mathematical Statistics, 1958
- Non-Parametric Estimation II. Statistically Equivalent Blocks and Tolerance Regions--The Continuous CaseThe Annals of Mathematical Statistics, 1947
- An Extension of Wilks' Method for Setting Tolerance LimitsThe Annals of Mathematical Statistics, 1943
- Determination of Sample Sizes for Setting Tolerance LimitsThe Annals of Mathematical Statistics, 1941