The field of mixed integer programming addresses optimisation problems characterised by both continuous and discrete decision variables subject to linear constraints. Traditional exact methods, ...

Combinatorial optimization and integer programming form the backbone of decision-making models in which discrete choices must be made under constraints. At its core, integer programming specialises in ...

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.

结果是非常振奋人心的。LLM4MIP 在 132 个开放实例上中有77个取得了可验证的求解进展：32 个完成了求解最优性判定、2 个完成了不可行性证明、29 个实现了可行解提高，以及 66 个优于 COPT 10 ...