Average cost per unit time control of stochastic manufacturing systems: Revisited

被引:0
|
作者
T. E. Duncan
B. Pasik-Duncan
Ł. Stettner
机构
[1] Department of Mathematics,
[2] University of Kansas,undefined
[3] Lawrence,undefined
[4] KS 66045,undefined
[5] U.S.A.,undefined
[6] duncan@math.ukans.edu,undefined
[7] bozenna@math.ukans.edu,undefined
[8] Institute of Mathematics,undefined
[9] Polish Academy of Sciences,undefined
[10] Sniadeckich 8,undefined
[11] 00-950 Warsaw,undefined
[12] Poland,undefined
[13] stettner@impan.gov.pl.,undefined
关键词
Key words: dynamic programming; stochastic manufacturing systems; large deviations; average cost per unit time;
D O I
暂无
中图分类号
学科分类号
摘要
An optimal production planning for a stochastic manufacturing system is considered. The system consists of a single, failure-prone machine that produces a finite number of different products. The objective is to determine a rate of production that minimizes an average cost per unit time criterion where the demand is random. The results given in this paper are based on some large deviation estimates and the Hamilton-Jacobi-Bellman equations for convex functions.
引用
收藏
页码:259 / 278
页数:19
相关论文
共 50 条
  • [21] Heavy traffic queues with heterogeneous servers: Pathwise average cost per unit time problem.
    Ramachandran, KM
    STOCHASTIC ANALYSIS AND APPLICATIONS, 1996, 14 (04) : 433 - 459
  • [22] H∞ Control of Stochastic Switched Nonlinear Systems with Average Dwell Time
    Liu, Yanli
    Yang, Xuebo
    Niu, Ben
    Tang, Yang
    Kaynak, Okyay
    IECON 2015 - 41ST ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2015, : 3040 - 3045
  • [23] The average number of events per time unit and its estimation
    Vogt, H
    METRIKA, 1996, 44 (03) : 207 - 221
  • [24] Time Cost for Consensus of Stochastic Multiagent Systems With Pinning Control
    Chang, Jiaqi
    Shi, Hongjun
    Zhu, Song
    Zhao, Donghua
    Sun, Yongzheng
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (01): : 94 - 104
  • [25] Diffusion approximation for a controlled stochastic manufacturing system with average cost minimization
    Krichagina, EV
    Lou, SXC
    Sethi, SP
    Taksar, MI
    MATHEMATICS OF OPERATIONS RESEARCH, 1995, 20 (04) : 895 - 922
  • [26] Convex analytic method revisited: Further optimality results and performance of deterministic policies in average cost stochastic control
    Arapostathis, Ari
    Yueksel, Serdar
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 517 (02)
  • [27] A survey of average cost problems in deterministic discrete-time control systems
    Hernandez-Lerma, Onesimo
    Laura-Guarachi, Leonardo R.
    Mendoza-Palacios, Saul
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)
  • [28] Finite-time Guaranteed Cost Control for Linear Stochastic Systems
    Yan Zhiguo
    Zhang Guoshan
    Wang Jiankui
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1389 - 1394
  • [29] Guaranteed cost control for uncertain stochastic fuzzy systems with time delay
    ZHANG Huaguang and WANG Yingchun (School of Information Science and Engineering
    Progress in Natural Science, 2007, (01) : 95 - 101
  • [30] Guaranteed cost control for uncertain stochastic fuzzy systems with time delay
    School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
    Prog Nat Sci, 2007, 1 (95-101):