随机模拟优化-最优计算预算分配

Chun-Hung Chen, L. Lee
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引用次数: 375

摘要

随着新的计算技术的进步,模拟在设计大型、复杂和随机工程系统方面变得非常流行,因为这些问题通常不存在封闭形式的解析解。然而,模拟的附加灵活性通常会创建计算上难以处理的模型。此外,为了在指定的置信度水平上获得可靠的统计估计,通常需要对每个设计方案进行大量的模拟运行(或复制)。如果设计备选方案的数量很大,则总仿真成本可能非常昂贵。随机仿真优化通过对仿真实验中计算资源的智能分配来解决相关的效率问题,旨在为学术研究人员和行业从业者提供全面覆盖的OCBA方法进行随机仿真优化。从直观地解释计算预算分配和讨论其对优化性能的影响开始,然后介绍了针对各种问题开发的一系列OCBA方法,从最佳设计的选择到多目标优化。最后,本书讨论了OCBA概念在不同应用中的潜在扩展,如数据包络分析、设计实验和罕见事件模拟。
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Stochastic Simulation Optimization - An Optimal Computing Budget Allocation
With the advance of new computing technology, simulation is becoming very popular for designing large, complex and stochastic engineering systems, since closed-form analytical solutions generally do not exist for such problems. However, the added flexibility of simulation often creates models that are computationally intractable. Moreover, to obtain a sound statistical estimate at a specified level of confidence, a large number of simulation runs (or replications) is usually required for each design alternative. If the number of design alternatives is large, the total simulation cost can be very expensive. Stochastic Simulation Optimization addresses the pertinent efficiency issue via smart allocation of computing resource in the simulation experiments for optimization, and aims to provide academic researchers and industrial practitioners with a comprehensive coverage of OCBA approach for stochastic simulation optimization. Starting with an intuitive explanation of computing budget allocation and a discussion of its impact on optimization performance, a series of OCBA approaches developed for various problems are then presented, from the selection of the best design to optimization with multiple objectives. Finally, this book discusses the potential extension of OCBA notion to different applications such as data envelopment analysis, experiments of design and rare-event simulation.
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