3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур
The frame 2D and 3D models of patented by Berezovsky switching ele-ments are proposed in relation to the construction of topologies of switching structures admissible for reconfiguration. It has been revealed that the use of frame models by Berezovsky switching elements allows to visualize the infor...
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The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2018
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System research and information technologies| _version_ | 1866391911121551360 |
|---|---|
| author | Berezovsky, S. A. |
| author_facet | Berezovsky, S. A. |
| author_sort | Berezovsky, S. A. |
| baseUrl_str | http://journal.iasa.kpi.ua/oai |
| collection | OJS |
| datestamp_date | 2019-04-26T15:57:21Z |
| description | The frame 2D and 3D models of patented by Berezovsky switching ele-ments are proposed in relation to the construction of topologies of switching structures admissible for reconfiguration. It has been revealed that the use of frame models by Berezovsky switching elements allows to visualize the information about the state of the structure of switching elements, to vary the number of independent inputs and outputs, and provides additional possibilities in the simulation of topologies of modern structures with separated by planes data and control. The method of formation of states of the switching structure topology elements has been proposed. |
| doi_str_mv | 10.20535/SRIT.2308-8893.2018.4.06 |
| first_indexed | 2025-07-17T10:24:16Z |
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S.A. Berezovsky, 2018
Системні дослідження та інформаційні технології, 2018, № 4 67
TIДC
ПРОБЛЕМНО І ФУНКЦІОНАЛЬНО
ОРІЄНТОВАНІ КОМП’ЮТЕРНІ СИСТЕМИ
ТА МЕРЕЖІ
UDC 004.81:681.3
DOI: 10.20535/SRIT.2308-8893.2018.4.06
3D FRAME MODELS SWITCHING ELEMENTS BY
BEREZOVSKY FOR SOFTWARE-CONFIGURABLE
SWITCHING STRUCTURES
S.A. BEREZOVSKY
Abstract. The frame 2D and 3D models of patented by Berezovsky switching ele-
ments are proposed in relation to the construction of topologies of switching struc-
tures admissible for reconfiguration. It has been revealed that the use of frame
models by Berezovsky switching elements allows to visualize the information about
the state of the structure of switching elements, to vary the number of independent
inputs and outputs, and provides additional possibilities in the simulation of topolo-
gies of modern structures with separated by planes data and control. The method of
formation of states of the switching structure topology elements has been proposed.
Keywords: switching elements by Berezovsky, model of switching elements by
Berezovsky, 3D switching structures on the elements by Berezovsky.
INTRODUCTION
The Fourth Industrial Revolution (4IR) is a new era in the development of man-
kind, characterized by the “blurring” the boundaries between the real world and
digital technologies.
The fundamental part of the 4IR architecture is the digital economy and the
integration of smart plants into industrial infrastructures.
One of the main tasks of the 4IR is the definition of common platforms of
“service-oriented design” with a single information language space in which ma-
chines of different corporations will freely communicate.
A completely new type of industrial production, based on the so-called Big
Data and their analysis, complete automation of production, augmented reality
technologies, the Internet of things is emerging.
This means a wave of discoveries caused by the development of the possibili-
ties of self-adjusting telecommunication architectures capable of adapting to new
realities (needs) in a completely autonomous mode without human participation.
Cloud technologies, the development of collecting and analyzing methods
for Big Data, secure and protected “smart network” technologies, intelligent
switching systems and structures in the field of data transmission have become
the key technologies of the new industrial revolution [1].
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 68
NEW SOFTWARE-DEFINED SWITCHING ARCHITECTURE
Traditionally, the main infrastructures nodes of Software Defined Switching
Structures, Systems and Networks (SDSSSN) appear for customers in the form of
some “black boxes”: proprietary equipment, proprietary network operating sys-
tem, hardwired by manufacturer set of functions and a specific utility for manag-
ing this entire pack.
The company Cisco is leading among the developers in this field, offering a
platform that uses a unified switching matrix. However, the installation of newer
and newer hardware devices, which configuration varies for each customer, leads
to a multiple increase of the load i.e. the amount of service information sufficient
to slightly get confused in new and specific data related to the basic computer
control devices of the SDSSSN, not always clearly structured.
The construction components of the SDSSSN offered by the suppliers to the
suppliers are still 2D component file structures, which dominate in the technology
nowadays as well.
Topology was based on the use of the simplest integration mechanisms of
individual components and was limited to the level of technology development,
the implementation of elementary 2D models based on the interface of minimal
user interaction with ECM [2]. This determined in many ways the capabilities of
the SDSSSN designers.
In the new initiative SDSSSN construction two stages have been distin-
guished, in the first stage the existing monolithic approach is divided into hard-
ware and software parts, the second one assumes a completely modular approach
where all components can be isolated and replaced with suitable ones.
The new architecture framework
The new building element of the SDSSSN is a switching element (SE) without an
operating system, a kind of SE without embedded software, but with a software
boot environment providing the installation of compatible operating systems
based on an open operating system (OS). This allows consumers to replace the
operating system and avoid binding to the equipment supplier, and also fits into
the tendency of building the SDSSSN.
As a basic generating framework, it is proposed to use Berezovsky's fully
available 2D switching element (KEB-1), the graph of which is shown in Fig.1
KEB implements a set of states described by the characteristic equations [3].
The basic concept of such KEB-1 is its turn in fact into a common frame-
work under the control of an open OS, whereas all switching functions are im-
plemented by a special processor (“demon”), controlling the switching matrix, a
field with its own driver, as one more service. In some developments, it is pro-
posed to place the control processor on a separate daughter board, which will, in
the future, even select the architecture of the processor.
The new switching element of SDSSSN must meet the most stringent
requirements for continuity, flexibility and scalability, and in addition become
“smarter” and faster, as a kind of “conductor” for all types of data passing
through it.
2D frame models presentation of KEB-1. The need of developers and con-
sumers in the possession of operational information on the structure, composition,
state of KEB-1 predetermined the borrowing from psychology and philosophy the
3D Frame models switching elements by Berezovsky for software-configurable switching structures
Системні дослідження та інформаційні технології, 2018, № 4 69
known concept of an abstract image, a model for representing a certain perception
stereotype.
A real need to use the physical development of SEs from different manufac-
turers and in the case where the physical properties of SE are not important, it is
preferable to use intelligent methods of knowledge representation to describe the
functions of the model as a single solution that is the frame model.
Framed models of knowledge representation are one of the most important
lines of research in the field of artificial intelligence, a component of the 4IR.
The integrated complex model should provide a study of the behavior of the
simulated SE in general and the influence of the constituent parts on each other,
herewith it should be easily modified and expanded.
It has been suggested to use a second-order geometric figure — an ellipse as
a formalized model for displaying the abstract image, in our case, the KEB frame
model [3].
Frame model of KEB-1 with the number of terminals points -input-output
4n is shown in Fig. 2.
Orientation of the KEB frame model is determined by the designer proceed-
ing from their practical convenience of representing the structure (Fig. 3).
In general case, the frame data structure can contain a wide range of infor-
mation, determined by the level of education, professional experience and per-
sonal maturity of both designers and consumers.
Authorial encodings of both the KEB themselves and the I / O points are
possible.
3D frame models for the presentation of KEB-2. The emergence of new
patent technologies of 3-DMS type, three-dimensional integration by means of
through-silicon holes (Through Silicon Vias, TSV) will solve some problems of
Fig. 1. Graph of commutation
element by Berezovsky
Fig. 2. Frame model by Berezovsky
KEB
Fig. 3. Orientation options, KEB codes and I / O points
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 70
3D modern electronics, which in turn will unable solving 3D SDSSSN design is-
sues for new communication technology, automated control systems, computer
systems, robotics, unmanned aerial vehicles [4].
The N-dimensional switching element by Berezovsky KEB-2 has been syn-
thesized [5].
The main advantage of the frame model of KEB-2 representation is that it re-
flects the conceptual basis by Berezovsky-2 switching element, as well as its
flexibility and visibility.
The singularity of this approach is the ability to synthesize 3D models of
KEB-2 for SDSSSN in a Cartesian coordinate system. The left and right variants
of the rectangular 3D frame model of the KEB-2 from two generating KEB-1 in
the 3-dimensional space have been proposed (Fig. 4, 5):
3D rectangular single frame model of KEB-2 presentation;
3D rectangular colored frame model of KEB-2 presentation;
3D rectangular frame model with KEB-2 switching state display;
3D rectangular colored frame model with KEB-2 switching state display.
The frame model of KEB-2 representation is offered in two varieties:
rectangular 3D KEB-2 frame model, as a particular kind of model (Fig. 4–6);
The frame model of KEB can be characterized by its relatively high com-
plexity, which is manifested in a decrease in the speed of the output mechanism
and increasing the complexity of making changes to the generic hierarchy.
Therefore, when developing the KEB frame model, the special attention is paid
to visual ways of displaying and effective means of editing of KEB frame mod-
els and frame structures on its base.
Fig. 4. Rectangular left 3D KEB-2 frame model
Fig. 5. Rectangular right 3D KEB-2 frame model
Fig. 6. Isometric frame model of the KEB-2 representation from 2N generating
KEB-1 (green, yellow) in 3 -dimensional space
3D Frame models switching elements by Berezovsky for software-configurable switching structures
Системні дослідження та інформаційні технології, 2018, № 4 71
The frame model of 3D KEB-2 is formed on the ground of basic 2D KEB-1
in the affine space of N-planes (Fig. 7) [5].
Framed 3D models allow designing 3D switching matrices that can facilitate
the development of options for parallel systems of collecting, processing and stor-
ing information. The KEB frame model provides an economical allocation of the
knowledge base in memory, and the value of any attribute, i.e. a slot, can be cal-
culated by appropriate procedures or found by heuristic methods.
SWITCHING STRUCTURES ON ELEMENTS BY BEREZOVSKY
The 2D “flat technology” is still dominating in the world (humanity is used to and
works with 2D, that is, in the plane (of a desktop) of information visualization: a
diagram as a flat drawing; a picture as a flat image; chip as a plate; motherboard
as a set of up to 51 layers.
Formation of the switching structure in 2D is performed according to the file
principle that is by cascading entering of switching element into a line and further
typing them into the page-field.
A field of 4 × 4 switching elements with 4 points (terminals) of inputs and
outputs is shown in Fig. 9.
Fig. 7. Isometric frame model of the KEB-2 representation from 3N generating
KEB-1 (red, blue, green) in 3 -dimensional space
Fig. 8. The frame model
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 72
The implementation of frame KEB models opens new opportunities for de-
velopers in the topology and architecture of SDSSSN.
In SDSSSN on the basis of KEB-1, KEB-2, branched, unbranched, rectilinear,
curvilinear connections i.e. communication channels, transmitting information in
any given direction, are synthesized.
Branching communication channels allow information to be transmitted
from one terminal point, the SDSSSN input to several outputs.
In such SDSSSNs, it is possible to form intersecting communication channels
between inputs and outputs located in different parts thereof.
In some cases in flat homogeneous SDSSSN, limiting the transfer of informa-
tion from one part of the structure to another or even isolating one part from the
other, communication channels may be formed.
The implementation of KEB-1, KEB-2 in the synthesis of new SDSSSN al-
lows the more efficient and full use of the structure (Fig. 10, 11).
Fig. 10. 3D rectangular colored frame model KEB switching structure from 2N
generating of KEB-1 (green, red)
Fig. 9. Traditional file-switching structure model
3D Frame models switching elements by Berezovsky for software-configurable switching structures
Системні дослідження та інформаційні технології, 2018, № 4 73
3D rectangular colored frame model switching structure on the KEB from
2N generating KEB-1 (green, red) and 6 input-outputs jjjjjj EFDCBA 111111 ,,,,, .
The interaction of different types of models (KEB -1, KEB-2) as augmented
reality tools (contributs individual artificial elements to the perception of the real
world) or knowledge base rules, their reuse in the modeling infrastructure is pro-
vided on the basis of the problem-oriented integration method.
The implementation of the method allows solving the problems of compati-
bility and interaction of models in the object-oriented modeling infrastructure in-
tended for the work of SDSSSN designers.
3D rectangular colored frame model switching structure on the KEB from
2N generating KEB-1 (green, red) and 8 input-outputs ijA , kx , fu , where
qi ,1 , pj ,1 , 4,1k , 4,1f .
The model description is extended by the semantic constructions of the do-
main are and the knowledge bases determining the work logic of the models [6].
Regardless of whether the model functions are implemented in a specialized
programming language or described in the form of rules, the user will operate
them in the same way.
When performing the modeling, each model implements the algorithms em-
bedded in it and interacts with other models through subscriptions to outputs from
other models. Subscriptions are implemented on the basis of the constructed in-
formation-graphic description.
FORMATION OF STATES OF COMMUTATION STRUCTURES
ON SWITCHING ELEMENTS BY BEREZOVSKY
These days, one of the topical tasks of designing in many technical branches is the
development of efficient switching provision for SDSSSN in various modes of
Fig. 11. 3D Isometric colored frame model KEB switching structure from 2N generating
KEB-1 (blue-black, red)
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 74
their operation [7]. This task, first of all, refers to the switching of complex com-
puter systems and networks, to the management of monitoring systems and secu-
rity networks, to switching of channel television, broadcasting, telephony and
Internet networks, to maintaining the required state of optoelectronic communica-
tion networks, etc. [8]. Existing designing methods of appropriate patching facili-
ties for the listed SDSSSN have a number of known shortcomings [9] that reduce
the efficiency of multi-channel networks functioning, and therefore the proposed
approach, the main concept of discussed below, is of some interest.
So, suppose that for a given SDSSSN containing M channels ),1( Mkyk ,
it is necessary to ensure their switching to N states ),1( NiSi on the basis of
commuting module (KEB). In its turn, the KEB is characterized by n commuting
variables ),1( nrxr and m commutated poles (variables) ),1( mlzl . Further-
more, for the KEB there is also a certain number Q of switching states (SS)
),1( QjV j with respect to the set of variables z.
Then the task solution on switching the considered SDSSSN can be reduced
to the determination of a certain number of KEBs that, on the basis of a number
of states V under the control of n commuting variables x , by means of the vari-
ables z , ensure the commutation of the channels y for given states S .
Concurrently, the solution of the problem can be obtained on the basis of dif-
ferent KEB.
One of the simple way of presenting information about a given i -th SS ( 1S )
is shown in Table 1.
Because of the presence of symmetry, Table 1 can be simplified (Table 2).
On the basis of Table 1 and Table 2, it is convenient to introduce the follow-
ing notation, which in the presence of a connection between the p-th and q-th
channels can be represented in the form
1qp yy , (1)
and in its absence it is written as follows
0qp yy . (2)
Then, taking into consideration the notations (1) and (2), the i-th SS (S1) can
be represented in the form
,21 )(...)()( iaii аigigigS , (3)
where )(1 ig is the k -th connection of channels qp yy (1) to the i -th SS SDSSSN.
T a b l e 1 . Switching state table
у у 1 у2 … уМ
у1 0 1 … 0
у2 0 0 … 1
…
…
…
…
…
уМ 0 0 … 0
T a b l e 2 . Modified table
у у 1 у2 … уМ
у1 1 1 … 0
у2 0 1 … 1
…
…
…
…
…
уМ 1 0 … 1
3D Frame models switching elements by Berezovsky for software-configurable switching structures
Системні дослідження та інформаційні технології, 2018, № 4 75
Based on the introduced representations (Table 1, 2, expressions (1)–(3)) as
a whole, the task for commutating of SDSSSN can be represented in the form of a
table (Table 3).
T a b l e 3 . Channel Link Combination Table
g
S
g1 g2 … gA
S1 1 0 … 0
S2 1 0 … 1
…
…
…
…
…
SN 0 1 … 0
In the Table 3, in line g, all used in SS combinations of SDSSSN channels
of the type
MMA yygyygyyg 1312211 ,...,, ,
are represented, except ),1( Mkyy kk .
The same information (Table 3) can easily be represented in the form of ex-
pressions (3)
ia
k
iki NiaigS
1
,1,)( . (4)
In particular, the simple inclusion of the SDSSSN, by virtue of relations (4),
is described as follows
ia
k
iki iaigS
1
,2,1,)(
where 0,0 11 Sa .
In its turn, for the KEB it is also possible to create tables similar to those
considered above (Tables 1–3). Such tables for KEB are given below (Table 4, 5).
Description of the SS KEB by analogy with the expression (4) has the form
jb
z
jrj QjbjwV
1
,1,)( , (5)
where )( jwr is the r -th connection of the variables nzz1 (1) in the j -th SS.
For KEB it is necessary additionally to describe the state of control variables
),1( nrxr (control state (CS) jX ) for each SS jV of commutated variables
),1( mlzl (Table 5). For this purpose it is convenient to use the following table
(Table 6).
T a b l e 4 . Variable table
z z1 z2 z zm
z1 0 1 0
z2 0 0 1
…
…
…
…
…
zm 0 0 0
T a b l e 5 . Variable table
w
V
w1 w2
V1 1 0 1
V2 1 1 0
…
…
…
…
…
VQ 0 1 1
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 76
T a b l e 6 . Control signal table
x1 0 0 … 1 1
x2 1 1 … 0 0
…
…
…
…
…
…
xn 0 1 … 0 1
V V1 V2 … VQ-1 VQ
In Table 6 the agreed notation is as: 1 — has a control signal and 0 — this
signal is not present that can be represented for the k- th manipulated variable in
the following form
nkxx kk ,1,0или1 . (6)
Then the description of the j-th СS ( jX ) for the j-th SS ( jV ) has the form
nj xxxxX ...321 . (7)
Taking into consideration the relations (6) and (7), and also the well-known
Boolean algebraic identities for the representation (5), we obtain
QjxxxxbXbV njjjj ,1),...( 321 .
Indeed, by virtue of Table 6 and the expressions (6), (7), for Vj we have
1...321 nj xxxxX .
It should be noted that, both for SS SDSSSN ( iS ), and SS KEB ( jV ) the
simple and / or complex switching occurs. The first type of commutation is char-
acterized by the absence of repetition of indices in the description of )(igk (4)
and )( jwr (5), i.e. each SDSSSN channel and each KEB pole has only one con-
nection. Complex switching allows the repetition of mentioned indices, which
indicates the presence of several connections for individual channels of the
SDSSSN and KEB poles. The noted features impose additional requirements on
the formation process of the complex SDSSSN set by SS, which determines the
development of individual methods for solving the set task.
So, the first procedure for the formation of complex SDSSSN assigned by SS
is called the method of direct substitution (MDS) and its essence is as follows.
Suppose that for SDSSSN with M channels ),1( Mkyk it is required to
form N SS ),1( NiSi based on KEB with n commuting variables ),1( nrxr ,
m commutated poles ),1( mlzl and Q SS ),1( QjVj . In the above descrip-
tions (4) and (5) the representation of this problem has the form ),( MmNQ :
QjbjwNiaig j
b
z
r
k
ik
jia
,1,)(;,1,)(
11
, (8)
where
;)(...,,)(,)( 11312211 mm yyigyyigyyig
3D Frame models switching elements by Berezovsky for software-configurable switching structures
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;)(,...,)(,)( 2322132 mmnmm yyigyyigyyig
mmc yyig 1)( . (9)
For )( jwr the relations analogous to the equalities for )(igk (8) are valid.
Obviously, for 0m , the individual values of )(igk (9) are equal to zero by
definition ( 0)( 11 MM yyig etc.).
MDS provides for the identification of all possible solutions to the formu-
lated above task. For this purpose, at each step of identifying connections between
the channels ),1( Mkyk of SDSSSN and ),1( mlzl KEB bands, these con-
nections are set in the following form based on some search algorithm or ran-
domly
zyzyzy m ,....,, 21 . (10)
Subsequently the SS SDSSSN ),1( NiSi (8), (9) are rewritten taking into
account the selected combinations (10) in the form:
Niaiw i
ai
k
k ,1,)(
1
, (11)
and the following equalities are considered separately for each ),1( NiSi :
QjabSV jj ,1,11 ;
QjabSV jj ,1,22 ; (12)
QjabSV NjNj ,1, .
The presence of non-coincident values of j for each SS ),1( NiSi indicates
the correctness of the selected compounds (10). Violation of this requirement de-
termines the inaccuracy of the relations (10). Herewith, description of the control
variables ),1( nrxr (7) iX corresponds to each value of j ( jV ) entering into
the obtained solution.
In particular cases, to solve the set task, the tables of SS indices (S1, Table 7
and jV , Table 8) can be used.
A simple search of lines in the Table 8, overlapping the lines in the Table
7, in the absence of their overlapping for different ),1( NiSi , also proves the
correctness of the selected connections (10).
T a b l e 8 . Index table
w
V
w1 w2 wB
V1 1 2 B
V2 1 2 B
…
…
…
…
…
VQ 1 2 B
T a b l e 7 . Index table
g
S
g1 g2 gA
S1 1 2 A
S2 1 2 A
…
…
…
…
…
SN 1 2 A
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 78
EXAMPLE OF APPLYING THE PROPOSED METHOD
To illustrate the proposed MDS, let’s consider the following simple example. For
a certain MCS having 4 channels )4,1( kyk , based on the given tables of the
type of Table 1–3, a SS (4) )2,1( iSi are created:
.2;2 4321242311 yyyySyyyyS (13)
In addition, there is a KEB with 6 poles )6,1( lzl and 10 control vari-
ables )10,1( rxr . To provide the SS (11) in the CM, the following SS ( jV ) (5)
can be used:
.3
;3
;3
6542313
6342512
5232411
zzzzzzV
zzzzzzV
zzzzzzV
(14)
Taking into consideration the representation (9) of the SS description (14)
will take the form:
.3)3()3()3(
;3)2()2()2(
;3)1()1()1(
15723
12742
8631
wwwV
wwwV
wwwV
(15)
The description of control variables (7) corresponds to each SS (14), (15)
102131021210211 ...,...,... xxxXxxxXxxxX . (16)
Next, the connections (10) are assigned
11 zy , 22 zy , 33 zy , 44 zy , (17)
and expressions (11), (13) are written down,
2)2()2(;2)1()1( 1012721 wwSwwS . (18)
The verification of conditions (12) on the basis of expressions (18) and (15)
gives the following relations:
.3;3;3
;1;2;3
232221
131211
SVSVSV
SVSVSV
(19)
In the set )3,1(1 jSV j there is a solution )1( 13 SV , however there is
no such solution in the second set )3,1(2 jSV j which indicates the unsuc-
cessful selection of connections (17).
The same conclusion can be made as well for example with respect to the
following combinations:
344352616453
423154433211
,,,;,
,,;,,,
zyzyzyzyzyzy
zyzyzyzyzyzy
and etc.
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The following relation is considered as successful:
24534211 ,,, zyzyzyzy , (20)
which determines a SS of the form (18):
2)2()2(;2)1()1( 832741 wwSwwS .
In this case, the verification of the requirements (12), (19) has the form:
.3;3;1
;2;1;3
232221
131211
SVSVSV
SVSVSV
The second relation ( 112 SV ) from the first set )3,1(1 jSV j and the
first equality ( 121 SV ) from the second set satisfies the requirements (12) and,
consequently, the connections (20) are the solution of the problem under
consideration. Fig. 12, a) shows the realization of 1S (13), and in Fig. 12, b) there
is the realization of 2S (13) by means of SS KEB, respectively, 2V and 1V . The
control variables 2X and 1X are then fed to the control circuit (CC) KEB
respectively (16). In the first case (Fig. 12, a), there is a simple connection, and in
the second case (Fig. 12, b) there is a double connection for 2Z .
The use of index tables (Table 7 and Table 8) gives a fairly clear idea of the
presence and absence of a solution.
Thus for the variant of combinations (17) we have the following tables of in-
dices (Table 9, 10).
These tables (Table 9, 10) obviously demonstrate the abovementioned
conclusions (19) on the absence of a solution.
For correct connections (20), there are the tables 11 and 12 take place, which
convincingly illustrate the existence of a solution to the problem.
B1 B2 B3 B4 B5 B6
Z1 Z2 Z3 Z4 Z5 Z6
Y4
Y3
Y2
Y1
B1 B2 B3 B4 B5 B6
Z1 Z2 Z3 Z4 Z5 Z6
Y4
Y3
Y2
Y1
a b
Fig. 12. Implementation of SDSSSN 1S (a) and 2S (b)
T a b l e 9 . Index table for a variant
of combinations (17)
g
S
g1 g2
S1 2 7
S2 1 10
T a b l e 1 0 . Index table for a variant
of combinations (17)
w
V
w1 w2 w3
V1 3 8
V2 4 7 .120
V3 2 7 15
S.A. Berezovsky
ISSN 1681–6048 System Research & Information Technologies, 2018, № 4 80
In conclusion, we note that the proposed method has its advantages and dis-
advantages. Thus SDSSSN (8)–(12) allows to get all possible solutions, it is sim-
ply algorithmized and easily allows to take into account additional requirements
when selecting connections. These requirements include restrictions on currents,
voltages, power, speed, SDSSSN channels and their coordination with the KEB
capabilities.
Frame 2D, 3D models of switching elements by Berezovsky give the re-
searcher the opportunity to create their own multi-character material as an innova-
tive database of interactive graphic data (DB) for the formation of special knowl-
edge bases (KB).
Having a language system with which you can present the result and experi-
ence of developing a database, and also store and store knowledge bases directly
in the system in close connection with a specific sensory channel of cognitive
graphics [10].
Such a technology gives a researcher a highly efficient technical tool for di-
rect, purposeful influence on the processes of figurative thinking of a person / de-
veloper / operator, and in natural (rather than model or test) conditions for finding
a solution to a real scientific problem.
CONCLUSIONS
2D, 3D frame models by Berezovsky patented switching elements are proposed
for constructing topologies of software-configured switching structures, systems
and networks.
The proposed KEB-1 and KEB -2 can be in one of the specified states of Ni;
a priori set each state of the switching elements by Berezovsky, which form the
topology, is encoded by the logical statement Aj and can be represented as a
graphical 2D, 3D model of the image of the SDSSSN element.
Models allow to visualize 2D, 3D topology of the SDSSSN.
They reflect the vision in the design of the role and place of cognitive graph-
ics in the development of new SDSSSNs.
Reduction of various types of models (KEB -1, KEB-2) to single components
of the modeling environment allows the designer-designer to build universal
models of the SDSSSN, applying various options for the implementation of sub-
models.
A distinctive feature of the use of the KEB is the simplification of the proce-
dure for the mathematic‘al design of 2D, 3D models of the SDSSSN topology.
T a b l e 1 1 . Index table for correct
connections (20)
g
S
g1 g2
S1 4 7
S2 3 8
T a b l e 1 2 . Index table for correct
connections (20)
w
V
w1 w2 w3
V1 3 8
V2 4 7 .120
V3 2 7 15
3D Frame models switching elements by Berezovsky for software-configurable switching structures
Системні дослідження та інформаційні технології, 2018, № 4 81
The use of models KEB -1 KEB -2 allows visualizing the task of designing a
given topology of the RCSS parallel systems for collecting and processing,
storage of information.
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Received 26.10.2018
From the Editorial Board: the article corresponds completely to submitted manu-
script.
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| id | journaliasakpiua-article-152066 |
| institution | System research and information technologies |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2025-07-17T10:24:16Z |
| publishDate | 2018 |
| publisher | The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" |
| record_format | ojs |
| resource_txt_mv | journaliasakpiua/ef/612a4224ba656d4d1b1552bead6af2ef.pdf |
| spelling | journaliasakpiua-article-1520662019-04-26T15:57:21Z 3D frame models switching elements by Berezovsky for software-configurable switching structures 3D фреймовые модели коммутационных элементов Березовского программно конфигурируемых коммутационных структур 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур Berezovsky, S. A. switching elements by Berezovsky model of switching elements by Berezovsky 3D switching structures on the elements of Berezovsky коммутационные элементы Березовского модели коммутационных элементов Березовского 3D коммутационные структуры на элементах Березовского комутаційні елементи Березовського моделі комутаційних елементів Березовського 3D комутаційні структури на елементах Березовського The frame 2D and 3D models of patented by Berezovsky switching ele-ments are proposed in relation to the construction of topologies of switching structures admissible for reconfiguration. It has been revealed that the use of frame models by Berezovsky switching elements allows to visualize the information about the state of the structure of switching elements, to vary the number of independent inputs and outputs, and provides additional possibilities in the simulation of topologies of modern structures with separated by planes data and control. The method of formation of states of the switching structure topology elements has been proposed. Предложены фреймовые 2D и 3D модели запатентованных коммутационных элементов Березовского для построения топологий программно реконфигурируемых коммутационных структур. Показано использование фреймовых моделей коммутационных элементов Березовского, что позволяют визуализировать информацию о состоянии составляющих структуру коммутационных элементов, варьировать количество независимых входов-выходов и открывают дополнительные возможности в образном моделировании топологий современных структур с разделенными плоскостями данных и управления. Предложен метод формирования состояний элементов топологии коммутационной структуры. Запропоновано фреймові 2D і 3D моделі запатентованих комутаційних елементів Березовського для побудови топологій програмно реконфігурованих комутаційних структур. Показано використання фреймових моделей комутаційних елементів Березовського, які дозволяють візуалізувати інформацію про стан складових структури комутаційних елементів, варіювати кількість незалежних входів-виходів і надають додаткові можливості в образному моделюванні топологій сучасних структур з розділеними площинами даних та керування. Запропоновано метод формування станів елементів топології комутаційної структури. The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2018-12-18 Article Article application/pdf https://journal.iasa.kpi.ua/article/view/152066 10.20535/SRIT.2308-8893.2018.4.06 System research and information technologies; No. 4 (2018); 67-81 Системные исследования и информационные технологии; № 4 (2018); 67-81 Системні дослідження та інформаційні технології; № 4 (2018); 67-81 2308-8893 1681-6048 en https://journal.iasa.kpi.ua/article/view/152066/151393 Copyright (c) 2021 System research and information technologies |
| spellingShingle | комутаційні елементи Березовського моделі комутаційних елементів Березовського 3D комутаційні структури на елементах Березовського Berezovsky, S. A. 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title | 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title_alt | 3D frame models switching elements by Berezovsky for software-configurable switching structures 3D фреймовые модели коммутационных элементов Березовского программно конфигурируемых коммутационных структур |
| title_full | 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title_fullStr | 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title_full_unstemmed | 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title_short | 3D фреймові моделі комутаційних елементів Березовського програмно конфігурованих комутаційних структур |
| title_sort | 3d фреймові моделі комутаційних елементів березовського програмно конфігурованих комутаційних структур |
| topic | комутаційні елементи Березовського моделі комутаційних елементів Березовського 3D комутаційні структури на елементах Березовського |
| topic_facet | switching elements by Berezovsky model of switching elements by Berezovsky 3D switching structures on the elements of Berezovsky коммутационные элементы Березовского модели коммутационных элементов Березовского 3D коммутационные структуры на элементах Березовского комутаційні елементи Березовського моделі комутаційних елементів Березовського 3D комутаційні структури на елементах Березовського |
| url | https://journal.iasa.kpi.ua/article/view/152066 |
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