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
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.