OCR Text |
Show The model constraints and objective function for the multi- reservoir optimization model are next presented in terms of the decision variables. Constraints: A constraint of the type TSC, FAS, DSC and GSC described in section 53.4 is specified for each reservoir s. The following additional constraints are needed to ensure that the aggregate M& I and irrigation demands for each demand area are met. ( 5) TOTM& I- The M& I demands for each demand area m must be satisfied at each level of reliability r. s ^ m^ nin * X K m * ^ m^ nix m = 1.... M, r = 1.... R ( 5.29) s= l where TM1^^^ and TMrminax are the minimum and maximum requirements of M& I water for demand area m, at reliability r. ( 6) TOTIRR - The Irrigation demands for each demand area i must be satisfied at each level of reliability r. s TIU ^ If , * T1Ux j - » - - 1 - r - l R < 5- 30> s= l where Tl^ mjn and TIri> max are the minimum and maximum requirements of Irrigation water for demand area i, at reliability r. As before upper and lower bounds are specified on all decision variables. Objective Function: The objective function is stated as before as the maximization of net revenue. This is defined symbolically as: S T S M R S IR XX R5s ^ s A « MaxOBJ- XXX^ PLtKo, • I E E W C + J = L i = 1NY s » lm= lr= l s= l i= l r « l S S S 2 $ r > s + X R 4 S F s + XNARs - XClsTs ' -£ c9.\ PLlK- V31> 5= 1 5= 1 5= 1 $= 1 where all the terms are as defined earlier. 118 |