Buffer overflow period in a constant service rate queue

Authors:
Andrzej Chydzinski
Affiliations:
Institute of Computer Sciences, Silesian University of Technology, Gliwice, Poland
Venue:
TELE-INFO'06 Proceedings of the 5th WSEAS international conference on Telecommunications and informatics
Year:
2006

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Abstract

When we speak about the buffer overflow period we mean the time interval in which the queue size is equal to the capacity of the buffer. Thus packets or cells arriving during this period are lost. The distribution of the length of this interval is recently gaining attention as a very informative characteristic of the queueing performance. In this paper the numerous results related to the distribution of the buffer overflow period in a constant service time queue are presented. In particular, they include formulas for distribution functions, probability density functions, expected values, limiting distributions for a large buffer. The queueing models supporting single and batch arrivals are considered.