Considering initial conditions/values in temporal constraints
Posted: Mon Jul 01, 2019 7:34 pm
I have a problem where a variable (i.e. temperature) at one time-interval (t) is dependent on the value in the previous interval (t-1). This relationship has been modeled as the constraint given below:
dtemp(t) .. temp(t)=e=({temp(t-1)-A(t)}*exp{-delt*invTau(t)})+A(t) ;
Initial temperature value (i.e. at t=0) is known, but I don't know how to incorporate that into the given constraint. GAMS is considering the first equation as :
temp("1") =e= (0 - A("1"))*other terms.
I want the 0 in the above equation to be replaced with the initial known temperature value. How can I do that?
Thanks.
dtemp(t) .. temp(t)=e=({temp(t-1)-A(t)}*exp{-delt*invTau(t)})+A(t) ;
Initial temperature value (i.e. at t=0) is known, but I don't know how to incorporate that into the given constraint. GAMS is considering the first equation as :
temp("1") =e= (0 - A("1"))*other terms.
I want the 0 in the above equation to be replaced with the initial known temperature value. How can I do that?
Thanks.