以下为句子列表：
英文: A mixed integer programming formulation for the off-line version of the problem has been proposed.
中文: 给出了问题的数学描述，并对其静态问题，构造了一个混合整数规划模型。
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英文: Based on the modified house of quality, the chance-constrained programming model is developed to determine the optimal striving targets by stochastic simulation and genetic algorithm, and the 0-1 integer programming model is derived for the decision-makin
中文: 基于改进的质量屋建立了机会约束规划模型，通过随机类比和遗传算法确定最佳奋斗目标；建立了0-1整数规划模型，用于经营过程重构目标的决策。
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英文: In order to minimize total ordering and holding costs, a simple solution model using mixed integer programming techniques is presented to determine the optimal solution of the number of orders and timing of replenishment points, and quantity to be ordered
中文: 此外，为达到极小化总订购成本及总持有成本，本模型利用混合整數规划技巧提供一个简单求解方法，可同时求得最佳订购次數、订购点及每次订购數量。
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