• DocumentCode
    828794
  • Title

    Stability of real-time lot scheduling policies for an unreliable machine

  • Author

    Lou, Sheldon ; Sethi, Suresh ; Sorger, Gerhard

  • Author_Institution
    Fac. of Manage., Toronto Univ., Ont., Canada
  • Volume
    37
  • Issue
    12
  • fYear
    1992
  • fDate
    12/1/1992 12:00:00 AM
  • Firstpage
    1966
  • Lastpage
    1970
  • Abstract
    A single-machine multiproduct manufacturing system with random breakdowns and random repair times is considered. Under a weak capacity condition on the system it is shown that the total work-in-progress (WIP) is a recurrent stochastic process. By replacing the stochastic model by a deterministic one with preventive maintenance activities scheduled on a regular basis or by strengthening the capacity condition, the boundaries of WIP and expected WIP, respectively, over time can be shown
  • Keywords
    maintenance engineering; production control; reliability theory; stability; stochastic processes; preventive maintenance activities; production control; random breakdowns; random repair times; real-time lot scheduling policies; recurrent stochastic process; single-machine multiproduct manufacturing system; stability; total work-in-progress; unreliable machine; weak capacity condition; Electric breakdown; Frequency; H infinity control; Production; Random variables; Stability; Stochastic processes;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.182483
  • Filename
    182483