| 引用本文: | 周亚平,奚宏生,殷保群,孙德敏.一类受控闭排队网络基于性能势的最优性方程[J].控制理论与应用,2002,19(4):521~526.[点击复制] |
| ZHOU Ya-ping,XI Hong-sheng,YIN Bao-qun,SUN De-min.Optimality equations based performance potentials for a class of controlled closed queueing networks[J].Control Theory and Technology,2002,19(4):521~526.[点击复制] |
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| 一类受控闭排队网络基于性能势的最优性方程 |
| Optimality equations based performance potentials for a class of controlled closed queueing networks |
| 摘要点击 1526 全文点击 1085 投稿时间：2000-08-29 修订日期：2001-08-06 |
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| DOI编号 10.7641/j.issn.1000-8152.2002.4.007 |
| 2002,19(4):521-526 |
| 中文关键词 闭排队网络系统 性能势 最优性方程 最优解的存在性 |
| 英文关键词 closed queueing network systems performance potentials optimality equation existence of optimal solution |
| 基金项目 国家自然科学基金(69974037); 国家高性能计算基金(00212)资助项目. |
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| 中文摘要 |
| 研究一类受控闭排队网络系统的性能优化问题. 文章引进了两个基本概念: 折扣代价α 性能势和平均代价性能势, 并且讨论了这两个性能势之间的一个关系式. 在一般的假设条件下, 我们应用性能势的基本性质直接建立了无限时间水平平均代价模型的最优性方程, 并且证明了在紧致集上最优解的存在性. 最后给出了一个策略优化的迭代算法并通过一个实际算例以说明该算法的效果. |
| 英文摘要 |
| This paper deals with the performance optimization problem of a class of controlled closed queueing network systems (CQNS). We introduce two fundamental concepts: the discounted cost α- performance potentials and average cost performance potentials, and consider a fundamental relation between the two potentials. Under a general assumption, we establish directly the optimality equation for infinite time horizon average cost model and prove the existence of optimal solution in a compact action set by using properties of the performance potentials, suggest an policy_optimality algorithm and give a numerical example to illustrate the application of the proposed algorithm. |