- 4 There Are Two Tennis Courts In A Park Pairs Of Players Arrive At Rate 3 Per Hour And Play For A Random Time Which Ha 1 (41.38 KiB) Viewed 23 times
4. There are two tennis courts in a park. Pairs of players arrive at rate 3 per hour and play for a random time which ha
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4. There are two tennis courts in a park. Pairs of players arrive at rate 3 per hour and play for a random time which ha
4. There are two tennis courts in a park. Pairs of players arrive at rate 3 per hour and play for a random time which has exponential distribution with mean 1 hour. If there are already two pairs of players waiting then the new arrivals will immediately leave. (a) Find the stationary distribution of the process. Hint: find a reversible measure. (b) What is the long run average number of pairs at the tennis courts? (We only keep track of the pairs that are playing or waiting for a court.)
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