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ISyE 6656 Exam # 2 Spring 2003
 

Summary: ISyE 6656 Exam # 2
Spring 2003
Name
Please be neat and show all your work so that I can give you partial credit.
GOOD LUCK.
Question 1
Question 2
Question 3
Total
1
(30) 1. Consider a single-server model with Poisson input and an average cus-
tomer arrival rate of 30/hr. Currently, service is provided by a mechanism that
takes exactly 1.5 min.
(a) Is the current system stable? Justify your answer.
(b) Now suppose that the system can be served instead by a mechanism that has
an exponential service time distribution. What must be the mean service time of
this mechanism to ensure the same long run average waiting time in the system?
2
(40) 2. The arrival process of customers at a taxi stand is Poisson with rate
and the arrival process of the of taxis at the stand is Poisson with rate .

  

Source: Ayhan, Hayriye - School of Industrial and Systems Engineering, Georgia Institute of Technology

 

Collections: Engineering