Hi,
My name is Zvonko Bregar.
Please help me with the following problem.
There is a real variable P having disjunct definition area {0} + [PMIN, PMAX].
There is also a binary variable X helping in this definition.
If X = 0 then P = 0
And if X = 1 then PMIN < P < PMAX.
So variables X an P work simultaneously.
This should be a rather standard construction.
The question is to construct another variable, say R, from X an P
Such that
If X = P = 0 then also R = 0
Else R = min {P-PMIN,PMAX-P}
In other words, R measures the minimal distance of P to its boundaries PMIN and
PMAX.
But if P = 0 then R must be set to 0 too.
For example, if PMIN = 200 and PMAX = 400, than the required function should be
something like the "upside down" absolute value function:
R = - | P - 300 | + 100 if 200 < P < 400
But also R = 0 if P = 0.
I have been trying this for quite some time but didn't succeed. It looks simple
and perhaps there is a simple solution? Or perhaps this cannot be done at all?
Thank you
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