Optimization problems where the variables are required to take on integer values are called integer programming (IP) problems. If some of the variables are continuous, then we get a mixed variable problem. With all functions as linear, an integer linear programming (ILP) problem is obtained, otherwise it is nonlinear. The ILP problem can be converted to a 0-1 programming problem. Linear problems with discrete variables can also be converted to 0-1 programming problems. Several algorithms are available to solve eg Sysko.

Optimization problems where the variables are required to take on integer values are called integer programming (IP) problems. If some of the variables are continuous, then we get a mixed variable problem. With all functions as linear, an integer linear programming (ILP) problem is obtained, otherwise it is nonlinear. The ILP problem can be converted to a 0-1 programming problem. Linear problems with discrete variables can also be converted to 0-1 programming problems. Several algorithms are available to solve eg Sysko.

Analysis the need of integer programming in mathematical programming.