Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 6

In Problem, in addition to course approvals, suppose that the advisor also answers questions and provides course counseling, such that the service time can no longer be assumed to be exponentially distributed. Instead, the service time distribution is undefined (i.e., general), with a mean of 2 minutes and a standard deviation of 5 minutes. Compute L , L q , W , and W q and compare these results with those in part (a) in Problem.
Problem
During registration at State University every semester, students in the college of business must have their courses approved by the college adviser. It takes the adviser an average of 2 minutes to approve each schedule, and students arrive at the adviser's office at the rate of 28 per hour.
a. Compute L , L q , W , W q , and U.
b. The dean of the college has received a number of complaints from students about the length of time they must wait to have their schedules approved. The dean feels that waiting 10.00 minutes to get a schedule approved is not unreasonable. Each assistant the dean assigns to the adviser's office will reduce the average time required to approve a schedule by 0.25 minute, down to a minimum time of 1.00 minute to approve a schedule. How many assistants should the dean assign to the adviser