Mixed-integer linear programming (MILP) has become a cornerstone of operations research. This is driven by the enhanced efficiency of modern solvers, which can today find globally optimal solutions within seconds for problems that were out of reach a decade ago. The versatility of these solvers allowed successful applications in many areas, such as transportation, logistics, supply chain management, revenue management, finance, telecommunications, and manufacturing. Despite the impressive success already obtained, many challenges remain, and MILP is still a very active field.

中文翻译：

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整数线性规划的过去 50 年：聚焦最近的实践进展


混合整数线性规划 （MILP） 已成为运筹学的基石。这是由现代求解器效率的提高推动的，如今，现代求解器可以在几秒钟内为十年前无法解决的问题找到全局最佳解决方案。这些求解器的多功能性使其能够在许多领域成功应用，例如运输、物流、供应链管理、收入管理、金融、电信和制造。尽管已经取得了令人印象深刻的成功，但仍然存在许多挑战，MILP 仍然是一个非常活跃的领域。