Abstract: Linear and integer programming have recently gained interest as new approach for decoding channel codes. In this paper, we present a framework for the analysis of arbitrary linear block ...

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 ...

Awards recognize foundational research that helped shape mixed-integer and nonlinear optimization—and reflect the company’s deep scientific roots.

Integer programs provide a powerful abstraction for representing a wide range of real-world scheduling problems. Despite their ability to model general scheduling problems, solving large-scale integer ...

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 ...

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.

Abstract: Fast enumeration (FE) is a way of efficiency improvement in explicit enumeration. Since its development in 2013, FE gains much attention in the solution of integer programming problems. An ...

Renewable Energy Institute, North China Electric Power University, Beijing, China. Water resources are the basic resources for the survival and development of human society. However, with the rapid ...