然而，在混合整数线性规划的框架下，模型的扩展十分困难。
However, it is quite difficult for the expansion of model under the MILP framework.
建立了热轧无缝钢管主生产计划问题的混合整数线性规划模型。
The master production scheduling(MPS) problem of hot rolling seamless steel tube is formulated as a mixed integer linear programming model.
本文给出了用代理约束选取混合整数线性规划问题初始可行解的一种方法。
In this paper, a method using surrogate constraint to select an initial feasible solution of a mixed integer linear programming problem is presented.
分支定界法可求纯整数或混合整数线性规划问题，求解方法由分支和定界组成。
To develop a branch and bound method for this problem, a nonlinear integer-programming model was constructed.
以水源-水阱匹配关系为约束条件，建立了单杂质用水网络的混合整数线性规划模型。
The mixed integer linear programming model was established with the water source-sink matching as the constraint.
建立了面向供应链的多产品、多订单、多时段的订单任务分配的混合整数线性规划模型。
A mixed integer linear programming (MILP) model for orders dispatching in a supply chain with multi-product, multi-order, and multi-period was proposed.
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。
At last, the thesis proves MILP model and its arithmetic-branch and bound method practicability and validity by giving an example.
针对编队卫星队形重构的轨迹规划问题，提出了直接配置混合整数线性规划(DCMILP)方法。
This article presents a direct collocation mixed integer linear programming (DCMILP) method for energy-optimal trajectory planning of satellite formation reconfiguration.
本文首先深入分析多无人机任务分配问题的特点，建立了扩展的混合整数线性规划(MILP)任务分配模型。
Firstly, the features of UAV task assignment are analyzed in depth, and then the extended mixed integer linear programming (MILP) model for task assignment is established.
该模型基于混合整数线性规划模型，以供应网络内总生产成本和物流成本最小化作为目标函数，并应用标准优化软件求解。
Minimizing total production and logistic costs within the supply network was considered as the objective function. This modified model can be solved using standard optimization software.
该模型基于混合整数线性规划模型，以供应网络内总生产成本和物流成本最小化作为目标函数，并应用标准优化软件求解。
Minimizing total production and logistic costs within the supply network was considered as the objective function. This modified model can be solved using standard optimization software.
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