Learn how to formulate and solve linear programming problems with integer or binary variables using branch and bound and cutting planes methods.

Learn how integer programming can improve airline scheduling efficiency, reliability, and flexibility by finding the optimal combination of flights, crews, and aircraft.

Our study is to find an efficient method to transform general SAT problems to binary integer linear programming (BILP) problems in larger size. Observing the feature of variable-clauses constraints in ...

This paper establishes an intrinsic complexity for the integer-programming problem that goes well beyond the computational complexities of linear programming. To this end, it describes a procedure ...

1. Introduction Binary quadratic programming (BQP) problem is a kind of typical combinatorial optimization problem, and has a variety of applications in computer aided design, traffic management, ...

Cluster tools play a significant role in the entire process of wafer fabrication. As the width of circuits in semiconductor chips shrinks down to less than 10nm, strict operational constraints are ...

Signal Temporal Logic (STL) provides a convenient way of encoding complex control objectives for robotic and cyber-physical systems. The state-of-the-art in trajectory synthesis for STL is based on ...

In this paper, we present a branch-and-price method to solve special structured multistage stochastic integer programming problems. We validate our method on two different versions of a multistage ...