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ISyE 6656 Final Exam Spring 2003
 

Summary: ISyE 6656 Final Exam
Spring 2003
Name
Please be neat and show all your work so that I can give you partial credit.
GOOD LUCK AND HAVE A GREAT SUMMER.
Question 1
Question 2
Question 3
Question 4
Question 5
Total
1
(20) 1. Consider an M/G/1 queue with the following variation. The first
customer in a busy period has service time distribution G1 with expected value
E[S1] and all others have service time distribution G2 with expected value E[S2].
Assume that the arrival rate is and = E[S2] < 1
a. What is the expected length of the busy period?
b. What is the expected number of customers served in a busy period?
2
(20) 2. Consider a stable G/M/1 queue with arrival rate and service rate

  

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

 

Collections: Engineering