Integer programming is a special case of linear programming, where the decision variables are restricted to be integers. This restriction makes the problem more difficult to solve, because it ...

Integer [Linear] Programming. Algorithms for integer programming often take a first stab at a solution with linear programming, which is outwardly similar but allows the variables to vary continuously ...

If some or all of the unknown variables are required to be integers, then the problem is called an integer programming (IP) or integer linear programming (ILP) problem. 0-1 integer programming or ...

Now that we have learned how to formulate and solve Linear Programs, we can consider an additional restriction on the solution that all variables must have an integer value. With this new constraint, ...

This paper gives integer linear programming (ILP) models for scheduling the League Phase of one of the most popular professional club competitions in the world, UEFA Champion’s League. There are 36 ...

This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that certain ...

The drawing up of university course timetables is an ongoing challenge and laborious task which must be performed by an administrative staff working on the strength of their knowledge to fill a ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...