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Integer Programming (IP) Model
one where one or more of the decision variables has to take on an integer value in the final solution
What are the types of Integer Programming Problems?
Pure integer programming, mixed integer programming, and zero-one integer programming
Pure Integer Programming
All variables have integer values
Mixed Integer Programming
some but not all of the variables will have integer values
Zero-One Integer Programming
Special cases in which all the decision variables must have integer solution values of 0 or 1
Why is it more work to solve problems with integer constraints?
The feasible region is the set of dots (in red)

An integer solution….
can never be better than a LP solution and is usually a lesser value