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 ...

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 ...

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: In this paper, we define a new subclass of integer linear programming problems called the composition problem. We shall propose efficient algorithms for solving this problem and its variants ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

Methods for NP-hard discrete optimization problems, including general methods like branch-and-bound and cutting planes, as well as special purpose branch-and-cut methods. Students will be able to ...

Abstract: This paper considers multiobjective integer programming problems where each coefficient of the objective functions is expressed by a random fuzzy variable. A new decision making model is ...