Linear Programming Objective Function with constant term.

Hi,
I'm wondering how you represent a constant value in the LP formulation in MATLAB, using "linprog".
For example,
Min Z = 2 x1 + 3 x2 + 4 y
x1 and x2 are variables.
y is an input value, not a variable.
How to represent this in the coding?
thanks!

 采纳的回答

Matt J
Matt J 2014-4-19
编辑:Matt J 2014-4-19
You cannot add a constant, but there shouldn't be any need to. Adding a constant to the objective function does not change the location(s) of the solutions, x.

2 个评论

Thanks, I wasn't sure.
I guess I should sum the final term to the total solution after run the linprog.
Yes. One other thing you could do (although it would be silly) is to include the constant as an additional unknown x(i) in the problem, but set lb(i)=ub(i)=constant. For example, the following
[x,f]=linprog([1 1 1],[],[],[],[],[0,0,2],[inf inf 2]);
x=x(1:2);
is equivalent to
Min x(1) + x(2) + 2
s.t. 0<=x(i)

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