You need cash and fast you jump out of your car at a

Question

Queing Models:

You need cash and FAST! You jump out of your car at a location known to have one ATM, but a history of a line. Usually you can expect to wait 250 seconds from the time you arrive until leaving with the $. Service time averages 30 seconds.

Remembering p = λ/μ, L = λW, W = 1/ μ - λ , L_q = pL, W_q = pW

a. What is the utilization of the server? _____%

b. What is the expected time between people arriving to this system? _____ seconds

c. How long is the line expected to be upon arrival? _____ people

d. What is the service rate of the server? _____ people/second.

Answer 1

The assignment is all about Queuing Models. You jump out of your car at a place known to have one ATM, however a history of a line. Generally you can anticipate to wait 250 seconds from the time you arrive until leaving by means the $. Service time averages 30 seconds. Keep in mind p = ?/µ, L = ?W, W = 1/ µ - ? , Lq = pL, Wq = pW a) Describe the utilization of the server? b) Determine the expected time between people arriving to this system? c) Explain how long is the line expected to be on arrival? d) Determine the service rate of the server?