The following is a simple mixed integer programming problem. Details can be found in Example 3.8 in the "Examples" section.

Example 3.10: Restarting an Integer Program The following example is attributed to Haldi (Garfinkel and Nemhauser 1972) and is used in the literature as a test problem.

It is demonstrated that mixed-integer programming can be applied successfully to the solution of certain practical site location problems. A mixed-integer model of a frequently occurring form of ...

It is shown that the integer linear programming problem with a fixed number of variables is polynomially solvable. The proof depends on methods from geometry of numbers.

Integer programming and combinatorial optimization form the backbone of many decision-making and resource allocation problems across diverse fields, from logistics and telecommunications to ...