Automation and Remote Control

, Volume 66, Issue 7, pp 1115–1124

Optimization of Control of Doubly Stochastic Nonordinary Flows in Time-Sharing Systems

  • A. V. Zorin
  • M. A. Fedotkin
Queueing Systems

Abstract

Control of conflicting flows in a class of time-sharing algorithms with regard for orientation and readjustment is studied. Probabilistic properties of flows are determined by the Markov environment. Conditions for the existence of a stationary operation mode of the system are determined and interpreted graphically. Optimization by the minimum of mean sojourn cost in a control cycle is studied. Imitation modeling is used to estimate the characteristics that cannot be found analytically.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    Zorin, A.V. and Fedotkin, M.A., Sistema s razdeleniem vremeni v usloviyakh izmeneniya struktury obsluzhivayushchego ustroistva i struktury vkhodnykh potokov (A Time-Sharing System under Server and Input Flow Structural Variations), Available from VINITI, 2003, Nizhni Novgorod, no. 1704-B2003.Google Scholar
  2. 2.
    Zorin, A.V. and Fedotkin, M.A., Ob optimal’nom upravlenii protsessami s pazdeleniem vremeni v sluchainoi srede (Optimal Control for Time-Sharing Processes in a Stochastic Medium), Available from VINITI, 2004, Nizhni Novgorod, no. 1120-B2004.Google Scholar
  3. 3.
    Klimov, G.L., A Time-Sharing Queue. I, Teor. Veroyatn. Primenen., 1974, vol. XIX, no.3, pp 558–576.Google Scholar
  4. 4.
    Fedotkin, M.A. and Zorin, A.V., Optimal Control of Conflict Flows with Repeated Service, Transactions XXIV Int. Seminar on Stability Probl. Stochast. Models, Riga, 2004, pp. 126–132.Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2005

Authors and Affiliations

  • A. V. Zorin
    • 1
  • M. A. Fedotkin
    • 1
  1. 1.Lobachevskii State UniversityNizhni NovgorodRussia

Personalised recommendations