A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

In this paper we discuss some branch and bound methods implemented in the UMPIRE mathematical programming system for solving practical integer programming problems and give details of computational ...

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 and ...