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For a service provider facing stochastic demand growth, expansion lead times and economies of scale complicate the expansion timing and sizing decisions. We formulate a model to minimize the infinite horizon expected discounted expansion cost under a service‐level constraint. The service level is defined as the proportion of demand over an expansion cycle that is satisfied by available capacity. For demand that follows a geometric Brownian motion process, we impose a stationary policy under which expansions are triggered by a fixed ratio of demand to the capacity position, i.e., the capacity that will be available when any current expansion project is completed, and each expansion increases capacity by the same proportion. The risk of capacity shortage during a cycle is estimated analytically using the value of an up‐and‐out partial barrier call option. A cutting plane procedure identifies the optimal values of the two expansion policy parameters simultaneously. Numerical instances illustrate that if demand grows slowly with low volatility and the expansion lead times are short, then it is optimal to delay the start of expansion beyond when demand exceeds the capacity position. Delays in initiating expansions are coupled with larger expansion sizes. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009 相似文献
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天基预警系统资源调度方法 总被引:1,自引:0,他引:1
对面向导弹预警任务的天基预警系统中的低轨卫星资源调度问题进行了研究.对预警任务的特性进行分析,提出了一种预警任务规划与分解方法以减少任务对资源占用时间的需求;在此基础上建立了该问题的约束满足CSP调度模型;针对该模型变量多、解空间规模庞大的特点以及对求解算法时效性的要求,设计了一种基于局部解空间跳出机制的改进型遗传算法MGA.仿真表明该模型与算法在给定时间内能够得到满意的调度方案. 相似文献
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导弹作战任务规划是一个涉及时间、资源、质量和其他关系约束的复杂问题。首先通过定义约束满足效用对基本约束满足模型进行了扩展,建立了导弹任务规划的约束满足优化模型。在此基础上,研究了任务规划模型求解的时间和效用传播算法,提出了基于综合效用的优化求解框架。该模型和求解框架易于解决具有多种约束因素的复杂问题,具有较好的通用性。通过定义软、硬约束效用,使得实际任务规划问题求解具有更好的灵活性。 相似文献