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We consider scheduling a set of jobs with deadlines to minimize the total weighted late work on a single machine, where the late work of a job is the amount of processing of the job that is scheduled after its due date and before its deadline. This is the first study on scheduling with the late work criterion under the deadline restriction. In this paper, we show that (i) the problem is unary NP‐hard even if all the jobs have a unit weight, (ii) the problem is binary NP‐hard and admits a pseudo‐polynomial‐time algorithm and a fully polynomial‐time approximation scheme if all the jobs have a common due date, and (iii) some special cases of the problem are polynomially solvable. 相似文献
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We consider a make‐to‐order manufacturer facing random demand from two classes of customers. We develop an integrated model for reserving capacity in anticipation of future order arrivals from high priority customers and setting due dates for incoming orders. Our research exhibits two distinct features: (1) we explicitly model the manufacturer's uncertainty about the customers' due date preferences for future orders; and (2) we utilize a service level measure for reserving capacity rather than estimating short and long term implications of due date quoting with a penalty cost function. We identify an interesting effect (“t‐pooling”) that arises when the (partial) knowledge of customer due date preferences is utilized in making capacity reservation and order allocation decisions. We characterize the relationship between the customer due date preferences and the required reservation quantities and show that not considering the t‐pooling effect (as done in traditional capacity and inventory rationing literature) leads to excessive capacity reservations. Numerical analyses are conducted to investigate the behavior and performance of our capacity reservation and due date quoting approach in a dynamic setting with multiple planning horizons and roll‐overs. One interesting and seemingly counterintuitive finding of our analyses is that under certain conditions reserving capacity for high priority customers not only improves high priority fulfillment, but also increases the overall system fill rate. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008 相似文献
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为对战场电磁频率进行有效分配以减少用频设备间的相互干扰,提出了将一种基于粒子群优化的蚁群算法应用于频率分配的方法。首先介绍了战场频率管控流程的相关内容,并以干扰度最低为目标函数,使用基于粒子群算法优化的蚁群算法进行频率分配管理。粒子群算法优化蚁群算法中启发信息的权重及信息素挥发系数,作为粒子群位置和速度参数进行初始化,将粒子群算法生成的分配结果作为蚁群算法的初始信息素,利用蚁群算法较强的寻优能力寻找最佳分配方案。实验结果验证了该算法和模型的可行性。 相似文献
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多目标广义指派问题的模糊匈牙利算法求解 总被引:5,自引:0,他引:5
提出和讨论了两类多目标的广义指派决策问题,分别给出了它们的多目标整数线性规划数学模型,并结合模糊理论与解决传统指派问题的匈牙利方法提出了一种新的求解算法:模糊匈牙利法.最后给出了一个数值例子. 相似文献
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