Integer Linear Programming (ILP) is the foundation of combinatorial optimization, which is extensively applied across numerous industries to resolve challenging decision-making issues. Under a set of ...

Abstract: This paper presents a new approach to the solution of resource or task allocation problems. A network flow optimization problem is posed that combines binary integer programming methods with ...

Abstract: This paper presents a novel algorithm for path planning of point robots in 2D known environment, using binary integer programming. In this approach the problem of path planning is formulated ...

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 studies a class of integer programming problems in which squares of variables may occur in the constraints, and shows that no computing device can be programmed to compute the optimum ...

The following is a simple mixed integer programming problem. Details can be found in Example 3.8 in the "Examples" section. data; input _row_ $10. choco gumdr ichoco igumdr _type_ $ _rhs_; datalines; ...