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Energy-Aware M^X/G/1 Queue

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mean arrival rate of batches
0.2
max idling time
1000
mean batch size
2
setup delay
0
simulation time
5000
mean number of jobs
=
1.15127
mean time in the system
=
2.93049 s
mean power consumption
=
149.355 W
In queueing theory, an
M
/
G
/1 queue (in Kendall notation) is a model in which arrivals satisfy a Markovian distribution
M
, service times have an unknown distribution, called a general distribution
G
, and there is a single server. Additional notation: PS indicates that there is processor sharing on the server, while
X
M
indicates that the arrival distribution is batch Markovian with a random number
X
of simultaneous arrivals.
X
M
/
G
/1-PS queueing systems are well-known models in the performance analysis of various systems, ranging from telecommunication channels to air transportation systems. Consider an energy-aware
X
M
/
G
/1-PS system, which may possibly be put in a sleep state to save energy whenever it is idle. In most cases, such a system needs some setup time before it "wakes up" from a sleep state to process requests. This Demonstration illustrates how the number of requests of such a system evolve through time. Statistics for mean values are provided in the lower panel.
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