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Two - dimensional optimization problem of plant location

In this paper, the following matters are presented: the adjoint problem of the two-dimensional matter propagation problem; the algorithm for determination of a domain in which a plant can be located so that the values of the pollution-level reflecting functional does not exceed a given value at considered sensitive areas; application of this algorithm for numerical experiments to a typical problem. | Vietnam Journal of Mechanics, NCST of Vietnam Vol. 23, 2001, No 3 (149 - 158) / TWO-DIMENSIONAL OPTIMIZATION PROBLEM OF PLANT LOCATION PHAN NGOC VINH( 2) TRAN GIA LICH(l) (I) ' Institute of Mathematics, P. 0 Box 631 , BoHo, 10000 Ha Noi 2 ( ) Institute of Mechanics, 264 Doi Can, Ha Noi ABSTRACT. In this paper, the following matters are presented: the adjoint problem of the two-dimensional matter propagation problem ; the algorithm for determination of a domain in which a plant can be located so that the values of the pollution-level reflecting functional does not exceed a given value at considered sensitive areas; application of this algorithm for numerical experiments to a typical problem. 1. Equation of the suspended matter propagation and its adjoint equation (see [1]) The equation of the suspended matter propagation, i.e. the matter transport and diffusion equation in the horizontal 2D case has the following form: ac ac ac at+ u ax + v ay +