Unformatted text preview: 4. Hint: To make this relatively easy, consider the special case of deterministic times between renewals. 7. 8. (answer in back) Hint: Look at Section 7.3. 21. 22. (answer in back) Hint: Look at Section 7.4. 23. 9. Hint: Let T be the time it takes to complete a job. Let W be the time it would take to complete the ﬁrst job attempted. Let S be the time of the ﬁrst shock. To compute E [ T ], develop an equation for it, by conditioning on the possible outcomes of W ; i.e., compute E [ T ] by computing E [ E [ T  W ]]. To compute E [ T  W = w ], compute E [ T  W = w,S = x ], multiply by the density f S ( x ) and integrate over x . (We put Problem 9 last, because it seems a bit harder.) Extra TakeHomeExam Problem: 7.12....
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 Spring '08
 Whitt
 Operations Research, Poisson Distribution, Probability theory, Queueing theory, Whitt Homework Assignment, Stochastic Models Spring

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