Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...

Welcome to what is currently one of the fastest academically developed solvers for mixed integer programming (MIP) and mixed integer nonlinear programming (MINLP). In addition, SCIP provides a highly ...

We present a modular approach to automatic complexity analysis of integer programs. Based on a novel alternation between finding symbolic time bounds for program parts and using these to infer bounds ...

Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

This paper describes a static analysis algorithm to detect potential integer anomalies in software. Integer anamolies take place when arithmetic operations on integer values yield new values that ...

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.

The task of finding a periodic allocation of atoms on a grid in space that minimises their pairwise interaction energy can be encoded as an integer program. Such integer program can be solved either ...