Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals

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Fifth International Conference on Information Technology: New Generations (itng 2008)

April 07-April 09

ISBN: 978-0-7695-3099-4

	ASCII Text	x
	Joris Walraevens, Dieter Fiems, Herwig Bruneel, "Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals," Information Technology: New Generations, Third International Conference on, pp. 1208-1209, Fifth International Conference on Information Technology: New Generations (itng 2008), 2008.

	BibTex	x
	@article{ 10.1109/ITNG.2008.180, author = {Joris Walraevens and Dieter Fiems and Herwig Bruneel}, title = {Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals}, journal ={Information Technology: New Generations, Third International Conference on}, volume = {0}, year = {2008}, isbn = {978-0-7695-3099-4}, pages = {1208-1209}, doi = {http://doi.ieeecomputersociety.org/10.1109/ITNG.2008.180}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Information Technology: New Generations, Third International Conference on TI - Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals SN - 978-0-7695-3099-4 SP1208 EP1209 A1 - Joris Walraevens, A1 - Dieter Fiems, A1 - Herwig Bruneel, PY - 2008 KW - Queueing theory KW - performance KW - generating functions KW - delay characteristics VL - 0 JA - Information Technology: New Generations, Third International Conference on ER -

Joris Walraevens

Dieter Fiems

Herwig Bruneel

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ITNG.2008.180

We perform a discrete-time analysis of the delay of customers in a FIFO buffer with batch arrivals. The numbers of arrivals per slot are independent and identically distributed variables. Since the arrivals come in batches, the delays of the subsequent customers do not constitute a Markov chain, which complicates the analysis. By using generating functions and the supplementary variable technique, moments of the delay of the $k$-th customer are calculated.

Index Terms:

Queueing theory, performance, generating functions, delay characteristics

Citation:

Joris Walraevens, Dieter Fiems, Herwig Bruneel, "Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals," itng, pp.1208-1209, Fifth International Conference on Information Technology: New Generations (itng 2008), 2008

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