Abstract
The Environmental Protection Agency, U.S.A., has proposed National Air Quality Standards for classes of air pollution, designed to protect public health and welfare by setting limits on levels of pollution in the air. They apply to all areas of the United States. Air quality standards give rise to an infinite number of restrictions, called the “air quality constraint set,” on the ambient air quality of a region; that is to say, the concentration at every ground level point must be less than or equal to the standards on the average.
Diffusion modeling bridges the gap between emissions and ambient concentrations and permits specification of the air quality constraint set. We use one particular form of diffusion model, by drawing on its algebraic properties, which it also shares with many diffusion models.
We present an approach to determine regional emission regulations that are (1) feasible in the sense that they lead to compliance with air quality standards and (2) optimal in the sense that the total economic impact due to implementation is minimized. Under goal (1), we set forth a procedure more sophisticated than heuristic procedures such as those guaranteeing compliance on a fixed rectangular set of grid receptor points in a region.
Our procedure does not presuppose a finite set of constraints arbitrarily set in advance, but the correct finite set is determined by the entire model and the data. The model will determine the location of a set of maximum receptor points in the region, which then will be the optimal location of sampling stations. If compliance is achieved at these strategic points in the region during the designated time interval, then compliance is achieved at all points in the region with respect to an. optimal air quality standard.
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© 1972 Physica-Verlag, Rudolf Liebing KG, Würzburg
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Kortanek, K.O., Gorr, W.L. (1972). Numerical Aspects of Pollution Abatement Problems: Optimal Control Strategies for Air Quality Standards. In: Henke, M., Jaeger, A., Wartmann, R., Zimmermann, HJ. (eds) DGU. Proceedings in Operations Research, vol 1971. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-99745-7_3
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DOI: https://doi.org/10.1007/978-3-642-99745-7_3
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