The model is formulated as a mixed integer linear programming (MILP) problem.

模型表达为一个混合整数规划(MIL P)问题。

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However, it is quite difficult for the expansion of model under the MILP framework.

然而，在混合整数线性规划的框架下，模型的扩展十分困难。

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At last, the thesis proves MILP model and its arithmetic-branch and bound method practicability and validity by giving an example.

最后，本文运用例子证明了混合整数线性规划及其算法-分枝定界法的实用性和有效性。

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