Variability Basics - Variability - Queueing

Question

What is Kendall's notation?

Answer 1

The characterization of a queueing station as: A/B/m/b

Answer 2

D: constant/deterministic

M: exponential (Markovian)

G: general distributions (i.e. normal, uniform)

Answer 3

In a steady state situation. After the system has been running so long that the current state does not depend on the starting conditions).

Answer 4

To a four-machine station with exponentially distributed interarrival times and with deterministically distributed process times that has a buffer of 20 jobs.

Answer 5

M / G / 1 (infinite buffer)
(The arrival process described is a typical poisson process. The interarrival times of a poisson process are exponentially distributed. The distribution of process times are stochastic -> 'general distribution'.)

Answer 6

False. It is only correct for A/B/1 stations with an infinite buffer. The VUT in 8.29 is correct for all A/B/m stations with infinite buffer.

Answer 7

False. It will only be 4 (on average) in the long run.
The current text-decorationstate might be completely different.
After all, this is the very nature of variability, which still applies to the M/M/1 queue.
(It might seem there is no variability in the M/M/1 queue because the V-term in the VUT equation doesn't show, but that is just the result of CVa and CVe equalling 1. And as long as a CV does not equal 0, there is variability.)