A small college has a registration process that has the following
steps:
- A student goes to an advisor to formulate a schedule. Average
time 8 minutes.
- The student goes to the class table where the availability
of the classes are ascertained. Average time 12 minutes.
- The student goes to the cashier to pay tuition and fees.
Average time 3 minutes.
Students arrive at this system at the rate of 20 per hour.
At each station, students wait in a first come-first served
queue. Assuming the arrival and service processes are Poisson,
we use queuing analysis to find the following results. The
results were found using the minimum number of servers for each
station.
|
Queue Station
|
Advisors
|
Classes
|
Cashier
|
|
Number of Channels
|
|
|
|
|
Mean Time in System (hrs.)
|
0.452
|
0.311
|
0.067
|
a. Fill in the row describing the minimum number of channels
(servers).
b. What is the average time a student spends in the registration
process?
c. What is the average number of students in the process?
d. What proportion of the total time does a student spend waiting
in a queue on the average?
e. Say you could add another channel to one of the stations
in the registration process. To which station would you add
the channel?
|
