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DTSTAMP:20200920T090932Z
UID:6FDE8607-FFA5-4A5F-B7F7-A28A0548AC26
DTSTART;TZID=Asia/Calcutta:20200522T150000
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DESCRIPTION:A composition and analysis technique was developed for investig
 ation of infinite Petri nets with\nregular structure\, introduced for mode
 ling networks\, clusters\, computing grids\, and clouds that also\nconcern
 s cellular automata and biological systems. A case study of a square grid 
 structure\ncomposition and analysis is presented. Parametric description o
 f Petri nets\, parametric\nrepresentation of infinite systems for the calc
 ulation of place/transition invariants\, and solving them\nin parametric f
 orm allowed the invariance proof for infinite Petri net models. Some addit
 ional\nanalysis techniques based on graphs of transmissions and blockings 
 are presented. Further\ngeneralization on multidimensional structures such
  as hypercube and hypertorus implemented.\nGenerators of Petri net models 
 developed and put on GitHub for public use. Complex deadlocks\nwere disclo
 sed and a possibility of network blocking via ill-intentioned traffic reve
 aled. Prospects\nfor further development of infinite Petri net theory are 
 outlined.\n\nBasic references\n\n1. [Zaitsev D.A\, Shmeleva T.R.\, Groote 
 J.F.\, Verification of Hypertorus Communication Grids by Infinite](https:/
 /ieeexplore.ieee.org/document/8707130)\n[Petri Nets and Process Algebra\, 
 IEEE/CAA Journal of Automatica Sinica\, 6(3)\, 2019\, 733-742.](https://ie
 eexplore.ieee.org/document/8707130)\n2. [Zaitsev D.A.\, Shmeleva T.R.\, Sl
 eptsov F.I.\, Reenterable Colored Petri Net Models of Networks\, Grids\,](
 https://ieeexplore.ieee.org/document/8611840)\n[and Clouds: Case Study for
  Provider Backbone Bridge. 26th Telecommunications Forum (TELFOR 2018)\,](
 https://ieeexplore.ieee.org/document/8611840)\n[November 20-21\, 2018\, Be
 lgrade\, Serbia.](https://ieeexplore.ieee.org/document/8611840)\n3. [Zaits
 ev D.A. Simulating Cellular Automata by Infinite Petri Nets\, Journal of C
 ellular Automata. 13(1-2)\,](http://www.oldcitypublishing.com/journals/jca
 -home/jca-issue-contents/jca-volume-13-number-1-2-2018/jca-13-1-2-p-121-14
 4/)\n[2018\, 121-144.](http://www.oldcitypublishing.com/journals/jca-home/
 jca-issue-contents/jca-volume-13-number-1-2-2018/jca-13-1-2-p-121-144/)\n4
 . [Zaitsev D.A.\, Zaitsev I.D.\, Shmeleva T.R.\, Infinite Petri Nets: Part
  2\, Modeling Triangular\, Hexagonal\,](https://www.complex-systems.com/ab
 stracts/v26_i04_a03/)\n[Hypercube and Hypertorus Structures\, Complex Syst
 ems\, 26(4)\, 2017\, 341-371.](https://www.complex-systems.com/abstracts/v
 26_i04_a03/)\n5. [Zaitsev D.A.\, Zaitsev I.D.\, Shmeleva T.R. Infinite Pet
 ri Nets: Part 1\, Modeling Square Grid Structures\,](https://www.complex-s
 ystems.com/abstracts/v26_i02_a04/)\n[Complex Systems\, 26(2)\, 2017\, 157-
 195.](https://www.complex-systems.com/abstracts/v26_i02_a04/)\n6. [Zaitsev
  D.A. Verification of Computing Grids with Special Edge Conditions by Infi
 nite Petri Nets\,](http://dx.doi.org/10.3103/S0146411613070262)\n[Automati
 c Control and Computer Sciences\, 2013\, Vol. 47\, No. 7\, pp. 403–412.]
 (http://dx.doi.org/10.3103/S0146411613070262)\n7. [Z](http://www.springerl
 ink.com/openurl.asp?genre=article&amp;id=doi:10.1007/s10559-010-9189-y)[aitsev
  D.A.\, Shmeleva T.R. Verification of hypercube communication structures v
 ia parametric Petri](http://dx.doi.org/10.1007/s10559-010-9189-y)\n[nets\,
  Cybernetics and Systems Analysis\, Volume 46\, Number 1 (2010)\, 105-114.
 ](http://dx.doi.org/10.1007/s10559-010-9189-y)\n8. [Shmeleva T.R.\, Zaitse
 v D.A.\, Zaitsev I.D. Verification of square communication grid protocols 
 via infinite](http://daze.ho.ua/MESM2009szz.pdf)\n[Petri nets\, MESM 2009 
 - 10th Middle Eastern Simulation Multiconference\, September 27-29\, Beiru
 t\,](http://daze.ho.ua/MESM2009szz.pdf)\n[Lebanon\, p. 53-59.](http://daze
 .ho.ua/MESM2009szz.pdf)\n\nSpeaker(s): Dr. Dmitry A. Zaitsev\, \n\nAgenda:
  \nTo join webinar at zoom\, Kindly use the following id and password ment
 ioned below.\nDate : 22/05/2020\nTime : 03:00 PM - 04:00 PM (Indian Timing
 ) GMT+5:30\n\nJoin Zoom Meeting\nhttps://gpeducation.zoom.us/j/99255872770
 ?pwd=RVU3WHlORmZlZGJjWlRkQzVtV3BsQT09\n\nMeeting ID: 992 5587 2770\nPasswo
 rd: 987245\n\nSRM INSTITUTE OF SCIENCE AND TECHNOLOGY GHAZIABAD INDIA \, G
 haziabad\, Uttar Pradesh\, India\, 201204
LOCATION:SRM INSTITUTE OF SCIENCE AND TECHNOLOGY GHAZIABAD INDIA \, Ghaziab
 ad\, Uttar Pradesh\, India\, 201204
ORGANIZER:rohitapece@gmail.com
SEQUENCE:9
SUMMARY:Webinar on Modeling Grid and Cloud Computing Systems by Infinite Pe
 tri Nets
URL;VALUE=URI:https://events.vtools.ieee.org/m/230748
X-ALT-DESC:Description: &lt;br /&gt;&lt;p&gt;A composition and analysis technique was d
 eveloped for investigation of infinite Petri nets with&lt;br /&gt;regular struct
 ure\, introduced for modeling networks\, clusters\, computing grids\, and 
 clouds that also&lt;br /&gt;concerns cellular automata and biological systems. A
  case study of a square grid structure&lt;br /&gt;composition and analysis is pr
 esented. Parametric description of Petri nets\, parametric&lt;br /&gt;representa
 tion of infinite systems for the calculation of place/transition invariant
 s\, and solving them&lt;br /&gt;in parametric form allowed the invariance proof 
 for infinite Petri net models. Some additional&lt;br /&gt;analysis techniques ba
 sed on graphs of transmissions and blockings are presented. Further&lt;br /&gt;g
 eneralization on multidimensional structures such as hypercube and hyperto
 rus implemented.&lt;br /&gt;Generators of Petri net models developed and put on 
 GitHub for public use. Complex deadlocks&lt;br /&gt;were disclosed and a possibi
 lity of network blocking via ill-intentioned traffic revealed. Prospects&lt;b
 r /&gt;for further development of infinite Petri net theory are outlined.&lt;/p&gt;
 \n&lt;p&gt;Basic references&lt;/p&gt;\n&lt;p&gt;1. &lt;a href=&quot;https://ieeexplore.ieee.org/docu
 ment/8707130&quot;&gt;Zaitsev D.A\, Shmeleva T.R.\, Groote J.F.\, Verification of 
 Hypertorus Communication Grids by Infinite&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;https://ieeex
 plore.ieee.org/document/8707130&quot;&gt;Petri Nets and Process Algebra\, IEEE/CAA
  Journal of Automatica Sinica\, 6(3)\, 2019\, 733-742.&lt;/a&gt; &lt;br /&gt;2. &lt;a hre
 f=&quot;https://ieeexplore.ieee.org/document/8611840&quot;&gt;Zaitsev D.A.\, Shmeleva T
 .R.\, Sleptsov F.I.\, Reenterable Colored Petri Net Models of Networks\, G
 rids\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;https://ieeexplore.ieee.org/document/8611840&quot;&gt;and
  Clouds: Case Study for Provider Backbone Bridge. 26th Telecommunications 
 Forum (TELFOR 2018)\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;https://ieeexplore.ieee.org/docume
 nt/8611840&quot;&gt;November 20-21\, 2018\, Belgrade\, Serbia.&lt;/a&gt;&lt;br /&gt;3. &lt;a href
 =&quot;http://www.oldcitypublishing.com/journals/jca-home/jca-issue-contents/jc
 a-volume-13-number-1-2-2018/jca-13-1-2-p-121-144/&quot;&gt;Zaitsev D.A. Simulating
  Cellular Automata by Infinite Petri Nets\, Journal of Cellular Automata. 
 13(1-2)\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;http://www.oldcitypublishing.com/journals/jca-
 home/jca-issue-contents/jca-volume-13-number-1-2-2018/jca-13-1-2-p-121-144
 /&quot;&gt;2018\, 121-144.&lt;/a&gt;&lt;br /&gt;4. &lt;a href=&quot;https://www.complex-systems.com/ab
 stracts/v26_i04_a03/&quot;&gt;Zaitsev D.A.\, Zaitsev I.D.\, Shmeleva T.R.\, Infini
 te Petri Nets: Part 2\, Modeling Triangular\, Hexagonal\,&lt;/a&gt;&lt;br /&gt;&lt;a href
 =&quot;https://www.complex-systems.com/abstracts/v26_i04_a03/&quot;&gt;Hypercube and Hy
 pertorus Structures\, Complex Systems\, 26(4)\, 2017\, 341-371.&lt;/a&gt;&lt;br /&gt;5
 . &lt;a href=&quot;https://www.complex-systems.com/abstracts/v26_i02_a04/&quot;&gt;Zaitsev
  D.A.\, Zaitsev I.D.\, Shmeleva T.R. Infinite Petri Nets: Part 1\, Modelin
 g Square Grid Structures\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;https://www.complex-systems.c
 om/abstracts/v26_i02_a04/&quot;&gt;Complex Systems\, 26(2)\, 2017\, 157-195.&lt;/a&gt;&lt;b
 r /&gt;6. &lt;a href=&quot;http://dx.doi.org/10.3103/S0146411613070262&quot;&gt;Zaitsev D.A. 
 Verification of Computing Grids with Special Edge Conditions by Infinite P
 etri Nets\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;http://dx.doi.org/10.3103/S0146411613070262&quot;
 &gt;Automatic Control and Computer Sciences\, 2013\, Vol. 47\, No. 7\, pp. 40
 3&amp;ndash\;412.&lt;/a&gt;&lt;br /&gt;7. &lt;a href=&quot;http://www.springerlink.com/openurl.asp
 ?genre=article&amp;amp\;id=doi:10.1007/s10559-010-9189-y&quot;&gt;Z&lt;/a&gt;&lt;a href=&quot;http:/
 /dx.doi.org/10.1007/s10559-010-9189-y&quot;&gt;aitsev D.A.\, Shmeleva T.R. Verific
 ation of hypercube communication structures via parametric Petri&lt;/a&gt;&lt;br /&gt;
 &lt;a href=&quot;http://dx.doi.org/10.1007/s10559-010-9189-y&quot;&gt;nets\, Cybernetics a
 nd Systems Analysis\, Volume 46\, Number 1 (2010)\, 105-114.&lt;/a&gt;&lt;br /&gt;8. &lt;
 a href=&quot;http://daze.ho.ua/MESM2009szz.pdf&quot;&gt;Shmeleva T.R.\, Zaitsev D.A.\, 
 Zaitsev I.D. Verification of square communication grid protocols via infin
 ite&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;http://daze.ho.ua/MESM2009szz.pdf&quot;&gt;Petri nets\, MESM
  2009 - 10th Middle Eastern Simulation Multiconference\, September 27-29\,
  Beirut\,&lt;/a&gt;&lt;br /&gt;&lt;a href=&quot;http://daze.ho.ua/MESM2009szz.pdf&quot;&gt;Lebanon\, p
 . 53-59.&lt;/a&gt;&lt;/p&gt;&lt;br /&gt;&lt;br /&gt;Agenda: &lt;br /&gt;&lt;p&gt;To join webinar at zoom\, Kin
 dly use the following id and password mentioned below.&lt;/p&gt;\n&lt;div dir=&quot;auto
 &quot;&gt;&lt;strong&gt;Date : 22/05/2020&lt;/strong&gt;&lt;/div&gt;\n&lt;div dir=&quot;auto&quot;&gt;&lt;strong&gt;Time :
  03:00 PM - 04:00 PM (Indian Timing) GMT+5:30&lt;/strong&gt;&lt;/div&gt;\n&lt;div dir=&quot;au
 to&quot;&gt;&lt;strong&gt;&amp;nbsp\;&lt;/strong&gt;&lt;/div&gt;\n&lt;div dir=&quot;auto&quot;&gt;Join Zoom Meeting&lt;br /
 &gt;&lt;a href=&quot;https://gpeducation.zoom.us/j/99255872770?pwd=RVU3WHlORmZlZGJjWl
 RkQzVtV3BsQT09&quot; target=&quot;_blank&quot; rel=&quot;noopener&quot; data-saferedirecturl=&quot;https
 ://www.google.com/url?q=https://gpeducation.zoom.us/j/99255872770?pwd%3DRV
 U3WHlORmZlZGJjWlRkQzVtV3BsQT09&amp;amp\;source=gmail&amp;amp\;ust=1590043314538000
 &amp;amp\;usg=AFQjCNFMynyKtYfW5NAILDX8MOlYLeU8GA&quot;&gt;https://gpeducation.zoom.us/
 j/&lt;wbr /&gt;99255872770?pwd=&lt;wbr /&gt;RVU3WHlORmZlZGJjWlRkQzVtV3BsQT&lt;wbr /&gt;09&lt;/a
 &gt;&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Meeting ID: 992 5587 2770&lt;br /&gt;Password: 987245&lt;/stro
 ng&gt;&lt;/div&gt;
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