Customers enter the waiting line at a cafeteria’s only cash register on a first-come, first-served basis: Optimization Technique Assignment, UMP, Malaysia

Question 4
1. Customers enter the waiting line at a cafeteria’s only cash register on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute, what is the average number of customers in the system?
a) 0.6
b) 0.9
c) 1.5
d) 0.25
e) 1.0

2. Which of the following is not an assumption in a multiple server queuing model?
a) Arrivals come from an infinite, or very large, population.
b) Arrivals are Poisson distributed.
c) Arrivals are treated on a first-in, first-out basis and do not balk or renege.
d) Service times follow the exponential distribution.
e) Servers each perform at their own individual speeds.

3. A company has one computer technician who is responsible for repairs on the company’s 20 computers. As a computer breaks, the technician is called to make the repair. If the repairperson is busy, the machine must wait to be repaired. This is an example of:
a) a multiple-server system.
b) a finite population system.
c) a constant service rate system.
d) a multiphase system.
e) all the above.

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