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Question: Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.

b. How much time, on average, does a student spend waiting in line?

Short Answer

Expert verified

Answer

Understanding waiting in line or lines and learning how to oversee them is one of the most critical ranges in operations administration. It is essential to create the plan, work plan, inventory levels, etc. Each day, we hold up in line in our benefit economy, from driving to work to checking out at the general store. In brief, holding up lines is unavoidable.

Step by step solution

01

Waiting time

Step 1: Waiting time

A student spends the following amount of waiting time on an average can be calculated using the following formula:

Lq=-位=4=6=4266-4=1.33

02

Students spend an average time

Step 2: Students spend an average time

is the average number of students waiting in line is 1.33

Wqis the average waiting time in line?

Wq=Lq=1.334=20minonaverage

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