Topics: Performance, queuing and scaling models for networks; Performance analysis, bounds and optimization; Traffic characterization and traffic models for networks
 
 
	Authors: Florin Ciucu (University of Warwick, United Kingdom); Felix Poloczek (University of Warwick / TU Berlin, Germany); Jens Schmitt (University of Kaiserslautern, Germany)
Presenter bio: 
		Jens Schmitt is a professor in the Computer Science department at 
the University of Kaiserslautern, Germany. He is the head of the 
Distributed Computer Systems Lab (DISCO). His research interest are in 
performance analysis and evaluation of wired and wireless networked and 
distributed systems, with an emphasis on quality of service guarantees, 
as well as in security for wireless networks.
Schmitt received his diploma degree in CS from the University of 
Mannheim, Germany (1996), as well as a Master's degree in Management 
Sciences from the University of Swansea, UK (1994). In 2000 he received 
his PhD from Darmstadt University of Technology, Germany for his thesis 
on "Heterogeneous Network QoS Systems".
 
 
	Abstract: Promising perspectives of a hypothetical `Tactile Internet', or 
`Internet at the speed of light', whereby network latencies become 
imperceptible to users, have (again) triggered a broad interest to 
understand and mitigate Internet latencies. In this paper we revisit the
 queueing analysis of the versatile Markov Fluid traffic model, which 
was mainly investigated in the 1980-90s, yet
with questionable accuracy. We derive upper bounds on the tail 
distribution of the queue size, which improve state-of-the-art results 
by an exponential factor $O(\kappa^n)$, where $0<\kappa<1$ and $n$
 is the number of multiplexed sources; additionally, we provide the 
first lower bounds. The underlying results are quite general in that 
they can be easily adapted to derive the delay distribution for SP, 
FIFO, and EDF scheduling. Our overall results rely on a powerful 
martingale methodology which was recently shown to be remarkably 
accurate.