A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network
We presented a method based on multigraphs to mathematically define a distribution function in time for the generation of data exchange in a special-purpose communication network. This is needed for the modeling and design of communication networks (CNs) consisting of integrated telecommunications a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/24/9/1294 |
| _version_ | 1797488677469814784 |
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| author | Slobodan Miletic Ivan Pokrajac Karelia Pena-Pena Gonzalo R. Arce Vladimir Mladenovic |
| author_facet | Slobodan Miletic Ivan Pokrajac Karelia Pena-Pena Gonzalo R. Arce Vladimir Mladenovic |
| author_sort | Slobodan Miletic |
| collection | DOAJ |
| description | We presented a method based on multigraphs to mathematically define a distribution function in time for the generation of data exchange in a special-purpose communication network. This is needed for the modeling and design of communication networks (CNs) consisting of integrated telecommunications and computer networks (ITCN). Simulation models require a precise definition of network traffic communication. An additional problem for describing the network traffic in simulation models is the mathematical model of data distribution, according to which the generation and exchange of certain types and quantities of data are realized. The application of multigraphs enabled the time and quantity of the data distribution to be displayed as operational procedures for a special-purpose communication unit. A multigraph was formed for each data-exchange time and allowed its associated adjacency matrix to be defined. Using the matrix estimation method allowed the mathematical definition of the distribution function values. The application of the described method for the use of multigraphs enabled a more accurate mathematical description of real traffic in communication networks. |
| first_indexed | 2024-03-10T00:05:45Z |
| format | Article |
| id | doaj.art-da36c6ccfcac4448ad8d23b0e4cb44de |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T00:05:45Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-da36c6ccfcac4448ad8d23b0e4cb44de2023-11-23T16:09:15ZengMDPI AGEntropy1099-43002022-09-01249129410.3390/e24091294A Multigraph-Defined Distribution Function in a Simulation Model of a Communication NetworkSlobodan Miletic0Ivan Pokrajac1Karelia Pena-Pena2Gonzalo R. Arce3Vladimir Mladenovic4Electronic Systems Department, Military Technical Institute, 11000 Belgrade, SerbiaElectronic Systems Department, Military Technical Institute, 11000 Belgrade, SerbiaDepartment of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USADepartment of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USAFaculty of Technical Sciences Cacak, University of Kragujevac, 34000 Kragujevac, SerbiaWe presented a method based on multigraphs to mathematically define a distribution function in time for the generation of data exchange in a special-purpose communication network. This is needed for the modeling and design of communication networks (CNs) consisting of integrated telecommunications and computer networks (ITCN). Simulation models require a precise definition of network traffic communication. An additional problem for describing the network traffic in simulation models is the mathematical model of data distribution, according to which the generation and exchange of certain types and quantities of data are realized. The application of multigraphs enabled the time and quantity of the data distribution to be displayed as operational procedures for a special-purpose communication unit. A multigraph was formed for each data-exchange time and allowed its associated adjacency matrix to be defined. Using the matrix estimation method allowed the mathematical definition of the distribution function values. The application of the described method for the use of multigraphs enabled a more accurate mathematical description of real traffic in communication networks.https://www.mdpi.com/1099-4300/24/9/1294communication networkmultigraphsadjacency matrixnetwork simulationnetwork trafficdistribution function |
| spellingShingle | Slobodan Miletic Ivan Pokrajac Karelia Pena-Pena Gonzalo R. Arce Vladimir Mladenovic A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network Entropy communication network multigraphs adjacency matrix network simulation network traffic distribution function |
| title | A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network |
| title_full | A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network |
| title_fullStr | A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network |
| title_full_unstemmed | A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network |
| title_short | A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network |
| title_sort | multigraph defined distribution function in a simulation model of a communication network |
| topic | communication network multigraphs adjacency matrix network simulation network traffic distribution function |
| url | https://www.mdpi.com/1099-4300/24/9/1294 |
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