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

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; ...

Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design ...

Example 3.8: A Simple Integer Program Recall the linear programming problem presented in the "Introduction to Mathematical Programming" chapter. In that problem, a firm produces two products, ...

Following a line of approach recently applied to the 0-1 integer programming problem with some success by Egon Balas, the algorithm of this paper is based upon an underlying tree-search structure upon ...

In this note we use the concept of intersection cut, introduced by Balas for integer programming problems, to develop a cutting-plane algorithm for solving integer interval linear programming problems ...