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连续时间MCP在紧致行动集上的最优策略

奚宏生 唐昊 殷保群

自动化学报2003,Vol.29Issue(2):206-211,6.
自动化学报2003,Vol.29Issue(2):206-211,6.

连续时间MCP在紧致行动集上的最优策略

Optimal Policies for a Continuous Time MCP with Compact Action Set

奚宏生 1唐昊 1殷保群1

作者信息

  • 1. 中国科学技术大学自动化系,合肥,230026
  • 折叠

摘要

Abstract

In this paper, we study optimal policies for a class of continuous-time Markov control processes (CTMCPs) with infinite horizon average-cost criteria. Using the basic properties of infinitesimal generators and performance potentials, we give directly the optimality equation and establish the existence of solutions to this equation for the average-cost model on a compact action set. A fast value iteration algorithm, which leads to an ε-optimal stationary policy, is proposed and the convergence of this algorithm is studied. Finally, we provide one numerical example to show applications of the proposed method.

关键词

性能势/平均代价准则/紧致行动集/数值迭代

Key words

Performance potentials/average-cost criteria/compact action set/value iteration

分类

信息技术与安全科学

引用本文复制引用

奚宏生,唐昊,殷保群..连续时间MCP在紧致行动集上的最优策略[J].自动化学报,2003,29(2):206-211,6.

基金项目

Supported by National Natural Science Foundation of P.R. China (69974037) and National High Performance Computing Foundation of P.R. China(00208) (69974037)

自动化学报

OA北大核心CSCDCSTPCD

0254-4156

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