%0 Journal Article
%T Optimal Control of Service Rate and Preventive Maintenance Rate for a Failure-prone Manufacturing System<br>有故障制造系统的服务率和预防维护率的最优控制
%A SONG Dong-ping
%A XING Wei
%A SUN You-xian
%A <br>宋东平
%A 邢卫
%A 孙优贤
%J 系统工程理论与实践
%D 2000
%I 
%X This paper investigates the optimal control of a manufacturing system in which the machine is allowed to be preventively maintained. The system is disturbed by many uncertainties such as machine failure and repair, random processing time, preventive maintenance, random demand and so on. The optimal control policy of machine service rate and preventive maintenance rate is derived from Markovian optimal decision process formulation. By investigating the convexity, monotonicity and asymptotic behaviour of the optimal value function, it is shown that the optimal policy is of simple hedging point structure and featured by several hedging points. That is, the optimal control should select the maximum service rate or maintenance rate if the inventory level is less than its corresponding hedging point; otherwise, select zero. The relationship of the hedging points is further discussed. Numerical examples are given to illustrate our results.
%K dynamic programming
%K manufacturing system
%K optimal control
%K Markovian<br>动态规划
%K 制造系统
%K 最优控制
%K 马尔可夫性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=6C0F9BF63A085B53E291F88C4B14C645&yid=9806D0D4EAA9BED3&vid=A04140E723CB732E&iid=E158A972A605785F&sid=2A8D03AD8076A2E3&eid=96C778EE049EE47D&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=0&reference_num=0