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 ...

A new efficient system of representing the decision-maker's preference structure in solving multicriteria integer programming problems is developed. The problem is solved by an interactive ...

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: 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 ...

The subproblem of the C&CG procedure is a special BiMIP, thus can be solved by PowerBiMIP efficiently. PowerBiMIP now offers a solver interface specifically designed for two-stage robust optimization ...

Abstract: Petri net is a graphical and mathematical modeling tool for concurrent systems. Business work flow is one of successful application area of Petri net. Workflow net is a subclass of Petri net ...