If-then-else construction

by Alexx1
Tags: construction, ifthenelse
 P: 88 How can we define a constraint saying: if b is larger than zero then y has to equal 1 if b is equal to zero then y has to equal 0 ? It concerns the following problem: b[i][k] = amount of vegetable i growing on patch k y[i][k] = 1 if vegetable i is grown on patch k = 0 otherwise So we want to say that if the amount of vegetable i on patch k is larger than zero (i.e. b[i][k] > 0), vegetable i must be assigned to patch k (i.e. y[i][k] = 1) I was thinking that it could be something like that: for all i sum(k) b[i][k]*y[i][k] = b[i][k] But I don't know if this is correct or not, since you could cancel out both terms b[i][k] What do you guys think? Kind regards, Alex
 HW Helper P: 6,189 Hi Alexx1! Perhaps like this? y[i][k] = (b[i][k] > 0);
 P: 181 If you know that b[i][k] will never be negative, you have y[i][k] = sgn( b[i][k] ).
P: 88

If-then-else construction

The thing is I need a constraint to use in the program
IBM ILOG CPLEX Optimization Studio

None of both constraints is accepted in CPLEX
 P: 181 According to Wikipedia's entry on OPL (the programming lanuage used in the program you mention), it does support an IF-THEN-ELSE construct. Why don't you use that?
P: 88
 Quote by Michael Redei According to Wikipedia's entry on OPL (the programming lanuage used in the program you mention), it does support an IF-THEN-ELSE construct. Why don't you use that?
I would prefer stating it in a constraint only using =/>=/<=/</>
Do you know an alternative?
 P: 181 Here's some examples from IBM's manual on OPL: int value = ...; int signValue = (value>0) ? 1 : (value<0) ? -1 : 0; int absValue = (value>=0) ? value : -value; It seems that OPL supports a "... ? ... : ..." construct. Have you tried that? E.g. y[i][k] = (b[i][k] > 0) ? 1 : 0;
 Sci Advisor PF Gold P: 1,355 That is a ternary operator like the one in the C language:  if() then else int variable=(boolean statement) ? [when true] : [when false]; The example on line two above "concatenates" or nests operators int signValue = (value>0) ? 1 : (value<0) ? -1 : 0; Maybe that will help....

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