The figure at the left shows a table built by the Queuing
Add-In. The arrival and service rates are in units per hour.
From the information given, answer the questions below.
|
Quantity
|
Value
|
Units |
|
Arrival Rate when Empty
|
5
|
per hour |
|
Service Rate/Channel
|
2
|
per hour |
|
Number of Channels
|
2
|
|
|
Max. Number in System
|
***
|
|
|
Type
|
M/M/2/5
|
|
|
Mean Number in System
|
3.277
|
units |
|
Mean Number in Queue
|
1.486
|
units |
|
Mean Number in Service
|
1.791
|
units |
|
Throughput Rate
|
3.582
|
units/hour |
|
P(0)
|
0.046
|
|
|
P(1)
|
0.116
|
|
|
P(2)
|
0.145
|
|
|
P(3)
|
0.182
|
|
|
P(4)
|
0.227
|
|
|
P(5)
|
0.284
|
|
|
P(6)
|
0.000
|
|
a. Give the meaning of each the symbols M/M given in the “Type”
line.
b. What proportion of the arriving customers are not served
by this queuing station?
c. For those customers that are served, how long on the average
is the time between when they enter the queue and when they
leave the service?
d. What is the probability that an arriving customer will wait
in the queue?
e. What is the efficiency of the servers?
|
