1


2

 EVALUATION AND
OPTIMIZATION
OF QUEUES
 WITH THE BMAPINPUT
(BATCH MARKOVIAN
ARRIVAL PROCESS)

3

 Cell phones networks
 Computer networks (Internet)
 Local Area Networks (LAN)

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 The reallife objects, including modern telecommunication networks and
their components

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 Performance evaluation
 Capacity planning
 Parameters optimization

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 Friendly
user interface
 Controlling on the calculation process

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 Support of the different models
 infinite queue
 finite queue
 threshold strategies

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 Models with the BMAPinput and multiservers

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 Models with modulated Poissoninput

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 Models with different retrial flows

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 common notes and model specific data (e.g. intensity of retrial flow,
orbit size)

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 the service time distribution

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 The joint distributions of the queue length and of the BMAP directing
process at service completion
epochs

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 The joint distributions of the queue length and of the BMAP directing
process of at arbitrary time

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 Some other specific characteristics

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 The modules calculate the mentioned above characteristics for the
classic BMAPG1 and BMAPSM1 queues.
 The algorithms of calculation are based on different approaches

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 This module can be applied for the performance evaluation of information
transmission in package switching mode as well as for designing the
other singleserver reallife systems with the fluctuating intensity of
the flow.

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 The operations of finding the complex roots in the unit disc are avoided
because we have a finite system of linear algebraic equations as an
equilibrium equation

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 The application area of this module is approximately the same as for the
previous module, when we can not assume that the buffer is an infinite
one with or without an effect of retrial flow

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 The service time distribution is assumed to be an exponential one. The
algorithm for calculations is a slight modification of the algorithm
applied for the module BMAPIGI1 and exploits the roots of the function
in the unit disc

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 The module can be used for the characteristics calculation for the
information transmission systems having a multichannel transmission
device

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 calculating the stationary distribution of the number of busy channels
 three different disciplines of the customer admission are considered:
 the partial admission
 the complete admission
 the complete rejection

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 The module suits for the characteristics calculation and the optimal
design of the circuit switching information transmission systems

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 Calculating the main probabilistic characteristics of the BMAPG1
system that has two possible service modes and switches the mode of
operation depending on the current value of the queue length according
to the threshold strategy

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 The module is appropriate for optimization of the service rate control
in the systems that have two possible modes of operation and the
mechanism of switching the modes
 Such queueing systems arise e.g. in modeling the satellite business
systems with demand access protocols, the ISDN systems with the moving
border in the frame, etc.

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 This module has the similar design goal and application sphere to the
previous one
 But it takes into account the fact of wasting time under the switching
the modes and charging for these switches

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 The hysteretic strategy of control is exploited instead of the threshold
one.
 It allows to decrease the number of the mode switches

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 calculates the joint distributions of the number of customers in the
system and of the state of the directing process of the BMAP in the
BMAPx1 systems with retrial flow

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 This module is elaborated for the performance evaluation of the mobile
cellular networks and the local area networks with the protocols of the
random multiple access

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 Several modules consider complex strategy of a retrial flow. It may
depend on external or internal random process

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 These modules calculate the characteristics of the BMAPG1 type
queueing model that has N different modes of operation
 The modes of operation are switched depending on the state of some
external random processes at the service completion epochs

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 The modules suit for the characteristics calculation of the data
transmission process in the voice/data communication systems with the
hybrid protocols with moving border in the frame

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 This module calculates the characteristics of the BMAPSM1 type
queueing model under consideration of service breakdowns, which cause
removal all customers from the system.

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 The module suits for the characteristics calculation of the data
transmission process in real network taking into account unreliability
of real service devices

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 Microsoft Visual C++
and Delphi as development casetools
 MFC (Microsoft Foundation Class) library and VCL (Visual Component
Library) under Windows 9x/NT
 The software exploits the standard components of the Windows users
interface
 Software architecture
 a document/view one

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 increase numerical stability and performance of used algorithms
 different controlled queues
 multiserver models with Phasetype service time distribution
