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

University Universiti Teknologi Malaysia (UTM)
Subject Optimization Technique Assignment

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

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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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