Abstract: This paper considers a Multi-Agent Motion Planning (MAMP) problem that seeks collision-free paths for multiple agents from their respective start to goal locations among static obstacles, ...

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 ...

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 ...

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 ...