Abstract: The Branch-and-Bound(B&B) algorithm is an effective method for solving the Mixed Integer Linear Programming (MILP) problem. Its performance significantly impacts the overall performance of ...

Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many practical ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

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.

int costMatrix[N][N] = {{10, 2, 8, 5}, {3, 9, 7, 2}, {8, 3, 6, 2}, {2, 4, 8, 7}}; ...