Midterm2_2006

Midterm2_2006 - Operations Research II IEOR161 University...

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Operations Research II IEOR161 University of California, Berkeley Spring 2006 Midterm II Operations Research II University of California, Berkeley Spring 2006 Midterm 2 There are 2 questions for a total of 85 points. I have added some formulas on page 2 which you can use/quote in the exam at your own discretion. 1. [10+10+10+10+10+10] They ladies’ room in Harry’s bar has one toilet and, in accordance with local ordinances, also possesses a couch where two ladies may sit and wait their turn. Others who arrive when the couch and toilet are fully occupied must stand and wait their turn. Ladies spend an average of 5 minutes in the toilet, the actual time being exponentially distributed. On a given night ladies come to use the facility according to a Poisson process with a rate of 1 every 15 minutes . (a) What are the states of this system and what is the steady state distribution? Hint: Be careful about the difference between the mean and the rate . (b) What proportion of time is the toilet busy?
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Midterm2_2006 - Operations Research II IEOR161 University...

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