Analysis of the System with Vacations under Poissonian Input Stream and Constant Service Times

Maciej Sosnowski , Wojciech Burakowski


In the paper approximate formulas for the mean waiting times and the buffer dimensioning in the system with vacations fed by the stream of Poissonian type with constant service times is shown. Furthermore, in the considered system the time intervals of the availability/not-availability of the service are constant and are run alternately according to the assumed cycle. More precisely, presented approach begin with derivation of the mean waiting times and, on the basis of this, the required buffer size for guaranteeing the losses less than predefined value is estimated. The accuracy of the presented analytical formulas is on a satisfactory level. The formulas were used for the System IIP dimensioning.
Author Maciej Sosnowski (FEIT / IT) - [Instytut Łączności PIB (IŁ PIB)]
Maciej Sosnowski,,
- The Institute of Telecommunications
- Instytut Łączności PIB
, Wojciech Burakowski (FEIT / IT)
Wojciech Burakowski,,
- The Institute of Telecommunications
Journal seriesJournal of Telecommunications and Information Technology, ISSN 1509-4553
Issue year2013
Publication size in sheets0.5
Keywords in English—approximation analysis, buffer dimensioning, mean waiting times, system with vacations
ASJC Classification2208 Electrical and Electronic Engineering; 1705 Computer Networks and Communications
ProjectThe Develpment of Digital Communicatios. Project leader: Lubacz Józef, , Phone: 22 234 65 31, start date 04-05-2012, planned end date 31-03-2013, end date 31-12-2013, IT/2012/statut, Completed
WEiTI Działalność statutowa
Languageen angielski
3.pdf 543.01 KB
Score (nominal)12
Score sourcejournalList
ScoreMinisterial score = 6.0, 06-02-2020, ArticleFromJournal
Ministerial score (2013-2016) = 12.0, 06-02-2020, ArticleFromJournal
Publication indicators GS Citations = 5.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 0.507
Citation count*5 (2020-09-20)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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