06104412

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06104412 Tikhonenko, Oleg Kempa, Wojciech M. The generalization of AQM algorithms for queueing systems with bounded capacity. Wyrzykowski, Roman (ed.) et al., Parallel processing and applied mathematics. 9th international conference, PPAM 2011, Torun, Poland, September 11--14, 2011. Revised selected papers, Part II. Berlin: Springer (ISBN 978-3-642-31499-5/pbk). Lecture Notes in Computer Science 7204, 242-251 (2012). 2012 Berlin: Springer EN AQM algorithms Loss Probability Numerical Laplace transform inversion Queue-size distribution

doi:10.1007/978-3-642-31500-8_25

Summary: A queueing system of the $M/M/1/( \infty ,V)$ type with generally distributed packet volumes and bounded capacity (total packets volume) is considered. The queue length is controlled by means of the accepting function that enqueues the arriving packet with probability depending on the free capacity volume in the system at the pre-arrival epoch. Explicit representations for stationary probabilities are derived via solving the system of differential equations. Sample numerical results are attached in which stationary queue-size distributions with and without dropping packets are compared.