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For a given set S of nonnegative integers the partitioning problem asks for a partition of S into two disjoint subsets S1 and S2 such that the sum of elements in S1 is equal to the sum of elements in S2. If additionally two elements (the kernels) r1, r2 ∈ S are given which must not be assigned to the same set Si, we get the partitioning problem with kernels. For these NP‐complete problems the authors present two compound algorithms which consist both of three linear greedylike algorithms running independently. It is shown that the worst‐case performance of the heuristic for the ordinary partitioning problem is 12/11, while the second procedure for partitioning with kernels has a bound of 8/7. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 593–601, 2000 相似文献
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A bicriterion approach to common flow allowances due window assignment and scheduling with controllable processing times
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We investigate a single‐machine scheduling problem for which both the job processing times and due windows are decision variables to be determined by the decision maker. The job processing times are controllable as a linear or convex function of the amount of a common continuously divisible resource allocated to the jobs, where the resource allocated to the jobs can be used in discrete or continuous quantities. We use the common flow allowances due window assignment method to assign due windows to the jobs. We consider two performance criteria: (i) the total weighted number of early and tardy jobs plus the weighted due window assignment cost, and (ii) the resource consumption cost. For each resource consumption function, the objective is to minimize the first criterion, while keeping the value of the second criterion no greater than a given limit. We analyze the computational complexity, devise pseudo‐polynomial dynamic programming solution algorithms, and provide fully polynomial‐time approximation schemes and an enhanced volume algorithm to find high‐quality solutions quickly for the considered problems. We conduct extensive numerical studies to assess the performance of the algorithms. The computational results show that the proposed algorithms are very efficient in finding optimal or near‐optimal solutions. © 2017 Wiley Periodicals, Inc. Naval Research Logistics, 64: 41–63, 2017 相似文献
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In this article, we consider a single machine scheduling problem, in which identical jobs are split into batches of bounded sizes. For each batch, it is allowed to produce less jobs than a given upper bound, that is, some jobs in a batch can be rejected, in which case a penalty is paid for each rejected job. The objective function is the sum of several components, including the sum of the completion times, total delivery cost, and total rejection cost. We reduce this problem to a min‐cost flow problem with a convex quadratic function and adapt Tamir's algorithm for its solution. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 217–224, 2017 相似文献
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随着宽带数字阵列技术和有源干扰技术的不断发展和成熟,舰载有源干扰设备的未来发展方向将是宽带数字阵列有源干扰系统。针对多目标干扰问题,提出了目标干扰时间窗概念和两种时间窗的处理方法,并建立干扰资源调度模型,通过仿真计算和对比分析,得出基于模糊时间窗的资源调度模型性能优于基于硬时间窗的资源调度模型,能够对干扰资源进行合理的调度,提高宽带阵列多目标干扰能力。 相似文献
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宽带路由器一般采用crossbar交换开关。Crossbar交换开关对QoS (QualityofService)的支持十分重要。提出一种支持IETF区分服务 (DifferentiatedService)服务模型的crossbar调度算法———OSP (OutputSerialPolling) ,该算法带宽利用率高 ,支持报文优先级。与目前存在的同类算法相比 ,具有硬件实现简单的优点 相似文献
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科学合理地调度预警卫星传感器资源是提高弹道导弹预警作战效能的重要手段.在预警卫星传感器资源(主要是凝视探测器)有限而进攻弹道导弹目标数量较多时,利用最小信息损失准则,将传感器调度问题转化为最优访问路径问题进行建模研究,满足了导弹预警资源调度的需要,仿真结果验证了模型的可靠性和可用性. 相似文献