Deck 13: CD Supplement - Additional Queueing Models

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Question
The Erlang distribution with k = 4 has higher variability than the Erlang distribution with k = 2.
Multiple Choice Questions
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Question
The utilization factor for the finite queue variation must be less than 1 in order for the system to reach a steady state.
Question
The Erlang distribution has less variability than the exponential distribution for the same mean.
Question
When designing a queueing system with a finite queue,one important decision is how much waiting room to provide.
Question
Rank the exponential,degenerate,Erlang (k = 2),and Erlang (k = 4)distributions from highest to lowest variability,given the same mean.

A)degenerate,Erlang (k = 2),Erlang (k = 4),exponential.
B)degenerate,Erlang (k = 4),Erlang (k = 2),exponential.
C)exponential,Erlang (k = 2),Erlang (k = 4),degenerate.
D)exponential,Erlang (k = 4),Erlang (k = 2),degenerate.
E)none of the above.
Question
The finite calling population queueing model is appropriate when the potential calling population is relatively small.
Question
Given the same utilization factor,waiting time in the queue will be less for a finite queue than the corresponding value for the M/M/s model.
Question
A basic difference between infinite calling population and finite calling population queueing models is:

A)the number of servers.
B)the average waiting time.
C)the arrival distribution.
D)the size of the potential customer base.
E)the processing rate.
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Deck 13: CD Supplement - Additional Queueing Models
1
The Erlang distribution with k = 4 has higher variability than the Erlang distribution with k = 2.
Multiple Choice Questions
False
2
The utilization factor for the finite queue variation must be less than 1 in order for the system to reach a steady state.
False
3
The Erlang distribution has less variability than the exponential distribution for the same mean.
True
4
When designing a queueing system with a finite queue,one important decision is how much waiting room to provide.
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5
Rank the exponential,degenerate,Erlang (k = 2),and Erlang (k = 4)distributions from highest to lowest variability,given the same mean.

A)degenerate,Erlang (k = 2),Erlang (k = 4),exponential.
B)degenerate,Erlang (k = 4),Erlang (k = 2),exponential.
C)exponential,Erlang (k = 2),Erlang (k = 4),degenerate.
D)exponential,Erlang (k = 4),Erlang (k = 2),degenerate.
E)none of the above.
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6
The finite calling population queueing model is appropriate when the potential calling population is relatively small.
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7
Given the same utilization factor,waiting time in the queue will be less for a finite queue than the corresponding value for the M/M/s model.
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8
A basic difference between infinite calling population and finite calling population queueing models is:

A)the number of servers.
B)the average waiting time.
C)the arrival distribution.
D)the size of the potential customer base.
E)the processing rate.
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