Mathematical Models of Industrial Plant Location and Pollution Abatement Strategies

Abstract

The present paper describes several mathematical models designed to control, through regulations, the locations and quantities of air pollution emissions. A Gaussian diffusion model is used in order to build an air-pollution transfer-coefficient matrix. Given the rate of increase in production and subsequently emission of air pollution, the model developed demonstrates how the permitted level of pollution emission can be set for each locality or industry, and how it is possible to assign methods of abatement and to measure their effectiveness. Finally the general abatement—location model is developed. This model simultaneously allocates industries to subareas and assigns control methods to the various industries so as to conform with the air quality standards set forth.