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An efficient gradient method based on perturbation analysis and the batch means method

 

作者: Chih‐Ming Liu,   Shu‐Kuang Chao,  

 

期刊: Journal of the Chinese Institute of Engineers  (Taylor Available online 1993)
卷期: Volume 16, issue 1  

页码: 13-28

 

ISSN:0253-3839

 

年代: 1993

 

DOI:10.1080/02533839.1993.9677473

 

出版商: Taylor & Francis Group

 

关键词: perturbation analysis;batch means method;finite difference estimate;optimization algorithm

 

数据来源: Taylor

 

摘要:

In this study, we want to develop an efficient optimization algorithm based on Perturbation Analysis (PA) and compare the performance of PA with the traditional Finite Difference (FD) gradient method. While the FD estimate is a very time‐consuming gradient method, PA is a very promising algorithm in terms of the computational time. This is the major advantage of PA over FD. In this study, we use the property that PA only requires one simulation run to obtain other advantages of PA as a gradient method. First, we deal with the problem of initialization bias for the estimate of gradients of system performance. Second, we compare the efficiency of PA and FFD (which represents FD) in introducing the control variates variance reduction technique. Third, we propose a new method for determining the simulation run length at each iteration in an optimization algorithm. In the above three areas, we show that PA is better than FD. Finally, we combine PA and BM (batch means method) to obtain a more efficient gradient method, PA‐BM.

 

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