CPLEX - Java How to create an absolute values summation constraint

Question

I have to create a constraint like this:

z = Σi|xi - 1|

How can I do this in java with CPLEX?

x is an integer vector and z an integer.

Answer 1

Use functions IloCplex.eq(), IloCplex.abs(), IloCplex.sum() and IloCplex.diff(). The are all described in the reference documentation . You may also want to take a look at the Java examples that ship with CPLEX. They illustrate how to build and add constraints.