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Finding of expected incomes in open exponential networks of arbitrary architecture

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Investigation of the open exponential queueing network of arbitrary architecture with incomes is carry out in paper. The incomes of transitions between network's states are random variables with specified moments of two first orders. The expressions for expected incomes and variances of incomes are received.
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Bibliografia
  • [1] Matalytski M., Pankov A., Incomes probabilistic models of the banking network, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2003, 1(2), 99-104.
  • [2] Matalytski M., Pankov A., Analysis of stochastic model of the changing of incomes in the open banking network, Computer Science, Czestochowa University of Technology 2003, 3(5), 19-29.
  • [3] Matalytski M., Pankov A., Finding time-probabilistic characteristics of close Markov network with central system and incomes, Wiestnik GrUP 2006, 3(46), 22-28 (in Russian).
  • [4] Matalytski M., Pankov A., Finding of expected incomes in closed stochastic network with central system, Computer Science, Czestochowa University of Technology 2007, 7(11).
  • [5] Pankov A., Analysis of expected incomes in closed queueing network with central system, Wiestnik GrUP 2006, 2(45), 48-56 (in Russian).
  • [6] Matalytski M., Recurrent mean-value analysis method with respect to the moments of time, Automation and Remote Control 2000, 60, 11, 1, 1552-1557.
  • [7] Eilon S., A simpler proof of L = lW, Operations Research 1969, 17, 915-918.
  • [8] Matalytski M., Rusilko T., Mathematical analysis of stochastic models for claim processing in insurance companies, GrSU, Grodno 2007 (in Russian).
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bwmeta1.element.baztech-article-BPC6-0019-0024
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