Unformatted text preview: prestage wait for uniform 5, 1 min move into Q stage move into Q scan use R scan for uniform 8, 4 min send to die end 4. (a) ∑ i time in system( i ) / 6 = 218 / 6 = 36 . 33. (b) Let X ( t ) be the number of entities in the system at time t . Area under sample path of X ( t ) Time 6th customer leaves = 218 100 = 2 . 18 . (c) 1. (d) The queue length at time t is Q ( t ) = max { X ( t )1 , } . The answer is 1 100 i 100 Q ( t ) dt = 1 . 18. (e) Entity i starts service when entity i1 leaves the system. Since we have the departure times, we can obtain the service times by subtracting the service initiation times from the departure times. The answer is 102 / 6 = 16 . 67....
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 Spring '08
 ALEXOPOULOS
 car wash, Monte Carlo Estimate, departure times, service initiation times

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