应用科学学报

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改进的概率权重随机模拟算法

周 文1,2 刘 焕 1 王翼飞1   

  1. 1,上海大学 数学系,上海,200444
    2,安徽师范大学 数学与计算机科学学院,安徽 芜湖,241000
  • 收稿日期:2007-09-12 修回日期:2007-12-05 出版日期:2008-07-31 发布日期:2008-07-31

Improved Probability Weighted Dynamic Stochastic Simulation Algorithm

ZHOU Wen1,2, LIU Huan1, WANG Yi-fei1   

  1. 1.Department of Mathematics, Shanghai University, Shanghai 200444,China
    2. College of Mathematics and Computation, Anhui Normal University, Wuhu 241000,China
  • Received:2007-09-12 Revised:2007-12-05 Online:2008-07-31 Published:2008-07-31

摘要: 提出了一种改进的概率权重随机模拟算法(IPWSSA),该算法自适应地确定权重因子,对反应率常数跨度很大的系统的化学反应动力学的随机模拟更为有效、实用。文中以两个化学反应系统为例,分别使用原始的和改进的概率权重随机模拟算法对其进行了模拟.结果表明,改进的概率权重算法可以明显地减少模拟所需的时间,且提高了精度。

关键词: 随机模拟算法, 概率权重, 化学反应系统

Abstract: This paper presents an improved probability-weighted stochastic simulation algorithm(IPWSSA) which adaptively determines the weighted factor. The method can simulate chemical reaction systems, which have widely varying rate constants, more efficiently and applicably. We apply a probability-weighted and improved probability-weighted stochastic simulation algorithm to a chemical reaction system. Numerical results show that the improved method can significantly reduce the simulation time and increase precision.

Key words: stochastic simulation algorithm, probability weight, chemical reaction system