Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers

doi:10.1016/j.jmaa.2006.01.034

	Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers
	Hou, YM ; Sethi, SP ; Zhang, HQ ; Zhang, Q
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2006-05-15
卷号	317 期号:2 页码:398-428
关键词	optimal production policy stochastic manufacturing systems stochastic dynamic programming discounted cost asymptotic analysis
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2006.01.034
英文摘要	We consider a production planning problem for a jobshop with unreliable machines producing a number of products. There are upper and lower bounds on intermediate parts and an upper bound on finished parts. The machine capacities are modelled as finite state Markov chains. The objective is to choose the rate of production so as to minimize the total discounted cost of inventory and production. Finding an optimal control policy for this problem is difficult. Instead, we derive an asymptotic approximation by letting the rates of change of the machine states approach infinity. The asymptotic analysis leads to a limiting problem in which the stochastic machine capacities are replaced by their equilibrium mean capacities. The value function for the original problem is shown to converge to the value function of the limiting problem. The convergence rate of the value function together with the error estimate for the constructed asymptotic optimal production policies are established. (C) 2006 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000236295900002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2946]
专题	中国科学院数学与系统科学研究院
通讯作者	Sethi, SP
作者单位	1.Univ Texas, Sch Management, Richardson, TX 75083 USA 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Univ Georgia, Dept Math, Athens, GA 30602 USA
推荐引用方式 GB/T 7714	Hou, YM,Sethi, SP,Zhang, HQ,et al. Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2006,317(2):398-428.
APA	Hou, YM,Sethi, SP,Zhang, HQ,&Zhang, Q.(2006).Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,317(2),398-428.
MLA	Hou, YM,et al."Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 317.2(2006):398-428.