Search results with tag "Queueing systems"
08 Queueing Models - fu-berlin.de
www.mi.fu-berlin.dePurpose • Simulation is often used in the analysis of queueing models. • A simple but typical queueing model Waiting line Server Calling population • Queueing models provide the analyst with a powerful tool for designing and evaluating the performance of queueing systems. • Typical measures of system performance •Server utilization, length of waiting lines, and delays of …
6.263/16.37: Lectures 5 & 6 Introduction to Queueing Theory
web.mit.eduQueueing Systems • Used for analyzing network performance • In packet networks, events are random – Random packet arrivals – Random packet lengths • While at the physical layer we were concerned with bit-error-rate, at the network layer we care about delays – How long does a packet spend waiting in buffers ? – How large are the ...
Queueing Systems - Eindhoven University of Technology
www.win.tue.nl2.3 Laplace-Stieltjes transform The Laplace-Stieltjes transform Xf(s) of a nonnegative random variable Xwith distribution function F(), is de ned as Xf(s) = E(e sX) = Z 1 x=0 e sxdF(x); s 0: When the random variable Xhas a density f(), then the transform simpli es to Xf(s) = Z 1 x=0 e sxf(x)dx; s 0: Note that jXf(s)j 1 for all s 0. Further