Optimal estimation of the states of a synchronous double stochastic flow of events

被引:17
|
作者
Bushlanov, IV [1 ]
Gortsev, AM [1 ]
机构
[1] Tomsk VV Kuibyshev State Univ, Tomsk 634050, Russia
关键词
Mathematical Model; Mechanical Engineer; Simulation Model; Numerical Calculation; System Theory;
D O I
10.1023/B:AURC.0000041418.09187.63
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Estimation of the states of a synchronous double stochastic flow of events with an arbitrary (finite) number of states was considered. The flow is a mathematical model of the information flows of the customers circulating in the queuing systems and networks. An explicit form of the a posteriori probabilities representing the total characteristics of the flow of event was determined. Decision about the state of flow is made using the criterion for maximum of the a posteriori probability. Numerical calculations of the a posteriori probabilities and statistical experiments with a simulation model are illustrated.
引用
收藏
页码:1389 / 1399
页数:11
相关论文
共 50 条
  • [1] Optimal Estimation of the States of a Synchronous Double Stochastic Flow of Events
    I. V. Bushlanov
    A. V. Gortsev
    Automation and Remote Control, 2004, 65 : 1389 - 1399
  • [2] Optimal estimation of states of a double stochastic flow of events in the presence of measurement errors of time instants
    Gortsev, AM
    Shmyrin, IS
    AUTOMATION AND REMOTE CONTROL, 1999, 60 (01) : 41 - 51
  • [3] The optimal state estimation of modulated synchronous twice stochastic flow of events.
    Golofastova, Maria N.
    Gortsev, Alexander M.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2013, 23 (02): : 42 - 53
  • [4] Optimal estimation of parameters of an asynchronous doubly stochastic flow of events with arbitrary number of the states
    Gortsev, Alexander M.
    Zuevich, Vladimir L.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2011, 17 (04): : 25 - 40
  • [5] Optimum estimation of states in generalizedsemi-synchronous flow of events
    Gortsev, Alexander M.
    Kalyagin, Aleksey A.
    Nezhelskaya, Lyudmila A.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2010, 11 (02): : 66 - 81
  • [6] The optimal estimation of states of the integrated asynchronous doubly stochastic flow of events with unprolonging dead time
    Gortsev, Aleksandr M.
    Leonova, Maria A.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2010, 12 (03): : 54 - 64
  • [7] Probability of an Error in Estimation of States of a Modulated Synchronous Flow of Physical Events
    Gortsev, A. M.
    Sirotina, M. N.
    RUSSIAN PHYSICS JOURNAL, 2016, 59 (07) : 1016 - 1023
  • [8] Probability of an Error in Estimation of States of a Modulated Synchronous Flow of Physical Events
    A. M. Gortsev
    M. N. Sirotina
    Russian Physics Journal, 2016, 59 : 1016 - 1023
  • [9] Optimal estimation of states of the asynchronous doublystochastic flow of events with arbitrary number of the states
    Gortsev, Alexander M.
    Zuevich, Vladimir L.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2010, 11 (02): : 44 - 65
  • [10] The probability of wrong decisions in the estimation of states of a generalized semi-synchronous flow of events
    Alexander, Gortsev M.
    Aleksey, Kalyagin A.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2012, 18 (01): : 58 - 70