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ISyE 6761 Exam # 2 Please be neat and show all your work so that I can give you partial credit.
 

Summary: ISyE 6761 Exam # 2
Fall 2001
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
1. (30) Consider a delayed renewal process {ND(t) : t 0} whose first renewal
time has distribution G and the others have distribution F. Let AD(t) = t -
SN(t) and YD(t) = SN(t)+1 - t.
a. Compute E[AD(t)].
b. Compute E[YD(t)].
2
2. (40) A machine shop needs a machine continuously. The lifetime of the
machine is a random variable with distribution F. The machine shop has a
policy of replacing the machine either when it fails or reaches the age of A.
Compute

  

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

 

Collections: Engineering