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 feasibility pump is a well-established primal heuristic for mixed integer programming (MIP) that alternates between solving a linear programming (LP) relaxation of the original problem and ...

The objective of the 3D-SCALO problem is to assign the given components to optimal mounting surfaces and position them at the best locations, while satisfying the requirements for (1) heat dissipation ...

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

When implementing, the solution of single-objective unit commitment models may be dissatisfactory or inapplicable. This might mainly be due to not considering the secondary conflicting objectives from ...

Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.