Laboratory of Applied Probabilistic Analysis

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Alex Dudin

Dudin

ALEXANDER N. DUDIN has got Master degree in Applied Mathematics in 1976 from Belarusian State University, PhD degree in 1982 from Vilnius University (now Lithuania) and Doctor of Science degree in 1992 from Tomsk University (now Russia). He had scientific visits to BEZ-Systems (USA), 1993, Free University of Amsterdam, 1995, Science University of Tokyo, 1997, Korean... Read Full Biography



Valentina Klimenok

Klimenok

VALENTINA I. KLIMENOK has got PhD degree in Probability Theory and Mathematical Statistics in 1992 and Doctor of Science degree in 2002 from Belarusian State University. Currently she is the Chief Scientific Researcher of the Laboratory of Applied Probabilistic Analysis in Belarusian State University, Professor of the Probability Theory and Mathematical Statistics Department. She participated in scientific projects funded by the INTAS... Read Full Biography


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Sirius++

  Software "SIRIUS" created in Laboratory of Applied Probabilistic Analysis consists of about 50 modules designed for calculation of performance characteristics of different queueing systems with the Batch Markov Arrival Process (systems with single or multiple servers, with infinite and finite buffers, with losses and retrials, controlled systems, systems with disasters, tandem queues with losses or blocking, etc.)
  Software has user-friendly interface.


  Due to the strict state regulation in Belarus, this software can not be distributed for free and can be provided only chargeable.
  To the best of our knowledge, this software has no analogue in the world both in respect to variety of the queueing models, which can be evaluated, and in respect to the generallity of requirements to system parameters.
  Input flows are assumed to be of the BMAP (Batch Markov Arrival Process) which includes such flows as IPP, SPP, MMPP, PH as partial cases and well suits for description of bursty correlated traffic in modern telecommunication networks.
  Service times are assumed to be generally distributed (in particular, having Phase type distribution, degenerate distribution,Hyper-degenerate distribution, uniform distribution), or are defined by semi-Markovian process for single-server queues (what allows to take into account possible correlation in the service process) and have phase type distribution for multi-server queues. Phase type distribution includes many known distributions like exponential, Hyper-exponential, Erlangian, Hyper-Erlangian, Coxian, etc. Phase type distribution is suitable for good approximation of such distributions as lognormal, Weibull, etc appearing when real data are fitting.
  Different strategies of customers admission (partial admission, complete admission, complete rejection, ect) and retrials (constant retrial rate, linear retrial rate, MMPP retrial process, search of customers in the orbit, etc) are allowed.
  Software is designed based on theoretical results obtained in the laboratory for discrete and continous time quasi-Toeplitz and asymptotically quasi-Toeplitz Markov chains.
  Software can be used for performance evaluation and capacity planning of telecommunication networks and their fragment. E.g., in Chungwa Telecommunication Laboratories Taiwan who purchased Software "SIRIUS" in 2004 this software was utilized for design of optical multiplexers.

Presentation here.

Manual here.

Thank you for visit our site. If you have any questions, please, write to Alexander Dudin.

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