The copy center at the college of business at Dwight University has become an increasingly contentious item among the college administrators. The department heads have complained to the associate dean about the long lines and waiting times for their secretaries at the copy center. They claim that it is a waste of scarce resources for the secretaries to stand in line talking when they could be doing more productive work in the office. Alternatively, Handford Burris, the associate dean, says the limited operating budget will not allow the college to purchase a new copier, or several copiers, to relieve the problem. This standoff has been going on for several years. To make her case for improved copying facilities, Lauren Moore, the department head for management science, assigned students a class project to gather some information about the copy center. The students were to record the arrivals at the center and the length of time it took to do a copy job once the secretary actually reached a copy machine. In addition, the students were to describe how the copy center system worked. When the students completed the project, they turned in a report to Professor Moore. The report described the copy center as containing two machines. When secretaries arrived for a copy job, they joined a queue, which looked more like milling around to the students. But they acknowledged that the secretaries knew when it was their turn, and, in effect, they formed a single queue for the first available copy machine. Also, because copy jobs are assigned tasks, secretaries always stayed to do the job, no matter how long the line was or how long they had to wait. They never left the queue. From the data the students gathered, Professor Moore is able to determine that secretaries arrive every 8 minutes for a copy job and that the arrival rate is Poisson distributed. Furthermore, she was able to determine that the average time it takes to complete a job is 12 minutes and that this is exponentially distributed. Using her own personnel records and some data from the university Solution . Departmental Responsibility . At the departmental level, the respon .

1. The copy center at the college of business at Dwight University has become an increasingly
contentious item among the college administrators. The department heads have complained to
the associate dean about the long lines and waiting times for their secretaries at the copy center.
They claim that it is a waste of scarce resources for the secretaries to stand in line talking when
they
could be doing more productive work in the office. Alternatively, Handford Burris, the associate
dean,
says the limited operating budget will not allow the college to purchase a new copier, or several
copiers,
to relieve the problem. This standoff has been going on for several years. To make her case for
improved
copying facilities, Lauren Moore, the department head for management science, assigned
students a
class project to gather some information about the copy center. The students were to record the
arrivals
at the center and the length of time it took to do a copy job once the secretary actually reached a
copy
machine. In addition, the students were to describe how the copy center system worked. When
the
students completed the project, they turned in a report to Professor Moore. The report described
the
copy center as containing two machines. When secretaries arrived for a copy job, they joined a
queue,
which looked more like milling around to the students. But they acknowledged that the
secretaries knew
when it was their turn, and, in effect, they formed a single queue for the first available copy
machine.
Also, because copy jobs are assigned tasks, secretaries always stayed to do the job, no matter
how long
the line was or how long they had to wait. They never left the queue. From the data the students
gathered, Professor Moore is able to determine that secretaries arrive every 8 minutes for a copy
job
and that the arrival rate is Poisson distributed. Furthermore, she was able to determine that the
average
time it takes to complete a job is 12 minutes and that this is exponentially distributed. Using her
own
personnel records and some data from the university

2. Solution
. Departmental Responsibility . At the departmental level, the respon