Methods for mixed integer programming

混合整数规划是一个非常强大和有用的工具，以帮助处理复杂的真实的世界的问题。它已成功应用于解决采矿、林业、航空运输、电信、医疗保健、物流等领域的重要问题。事实上，任何涉及离散决策的问题（如开设或不开设工厂，购买卡车的数量等）。并且在需要有效使用稀缺资源的情况下，是受益于混合整数规划技术的良好候选者。

Mixed-integer programming is a very powerful and useful tool to help deal with complex real world problems. It has been successfully applied to solve important problems in areas like mining, forestry, air transportation, telecommunications, health care, logistics and many others. In fact, any problem that involves decisions that are discrete (like opening or not opening a factory, number of trucks to buy, etc.) and where an efficient use of scarce resources is needed, is a good candidate for benefiting from Mixed-integer programming techniques.