Hyperexponential model of token bucket system
In the present paper we apply the Theory of Markov Chains for a formal description of a hyperexponential model of Token Bucket System (TBS). This paper extends the topic covered in [3] by replacing Exponential model of human speech by a more precise hyperexponential model. In the first section we de...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Žilina
2004-12-01
|
| Series: | Communications |
| Subjects: | |
| Online Access: | https://komunikacie.uniza.sk/artkey/csl-200404-0013_hyperexponential-model-of-token-bucket-system.php |
| _version_ | 1797847088453648384 |
|---|---|
| author | Juraj Smiesko |
| author_facet | Juraj Smiesko |
| author_sort | Juraj Smiesko |
| collection | DOAJ |
| description | In the present paper we apply the Theory of Markov Chains for a formal description of a hyperexponential model of Token Bucket System (TBS). This paper extends the topic covered in [3] by replacing Exponential model of human speech by a more precise hyperexponential model. In the first section we deal with analysis of the Hyperexponential model of On-Off Source of human speech. In the second section we deal with steady-state analysis of Token Bucket system and we solve the balance equations for probabilities of states. In the third section we use real parameters of VoIP and we calculate characteristic of TBS and in the last section the values of probability of packet loss are approximated by an exponential regression function. We can directly compute values of probability of packet loss using this exponential function. |
| first_indexed | 2024-04-09T18:05:30Z |
| format | Article |
| id | doaj.art-551888b293b8493aa8321fcf4dfdfb17 |
| institution | Directory Open Access Journal |
| issn | 1335-4205 2585-7878 |
| language | English |
| last_indexed | 2024-04-09T18:05:30Z |
| publishDate | 2004-12-01 |
| publisher | University of Žilina |
| record_format | Article |
| series | Communications |
| spelling | doaj.art-551888b293b8493aa8321fcf4dfdfb172023-04-14T06:29:35ZengUniversity of ŽilinaCommunications1335-42052585-78782004-12-0164747910.26552/com.C.2004.4.74-79csl-200404-0013Hyperexponential model of token bucket systemJuraj Smiesko0Department of Mathematical Methods, Faculty of Management Science and Informatics, University of Zlina, SlovakiaIn the present paper we apply the Theory of Markov Chains for a formal description of a hyperexponential model of Token Bucket System (TBS). This paper extends the topic covered in [3] by replacing Exponential model of human speech by a more precise hyperexponential model. In the first section we deal with analysis of the Hyperexponential model of On-Off Source of human speech. In the second section we deal with steady-state analysis of Token Bucket system and we solve the balance equations for probabilities of states. In the third section we use real parameters of VoIP and we calculate characteristic of TBS and in the last section the values of probability of packet loss are approximated by an exponential regression function. We can directly compute values of probability of packet loss using this exponential function.https://komunikacie.uniza.sk/artkey/csl-200404-0013_hyperexponential-model-of-token-bucket-system.phpno keywords |
| spellingShingle | Juraj Smiesko Hyperexponential model of token bucket system Communications no keywords |
| title | Hyperexponential model of token bucket system |
| title_full | Hyperexponential model of token bucket system |
| title_fullStr | Hyperexponential model of token bucket system |
| title_full_unstemmed | Hyperexponential model of token bucket system |
| title_short | Hyperexponential model of token bucket system |
| title_sort | hyperexponential model of token bucket system |
| topic | no keywords |
| url | https://komunikacie.uniza.sk/artkey/csl-200404-0013_hyperexponential-model-of-token-bucket-system.php |
| work_keys_str_mv | AT jurajsmiesko hyperexponentialmodeloftokenbucketsystem |