In a bus station MS7 and M72 can stop and you can take either of them...

 

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In a bus station MS7 and M72 can stop and you can take either of them to go to your destination. The arrival headway for M5 is 4 minutes and for M72 is 6 minutes and arrival distribution of both is Poisson. a) If you arrive to the station, what is the expected wait time for you to get on any of these bus? b) If the arrival rate of the passenger for bus 57 is 2 passenger per minute, what is average length of queue of the people waiting to board on M57? c) If each bus can only board 2 passenger at the stop location, and if the arrival rate of the passenger for bus 57 is 5 passenger per minute, what is average length of queue of the people waiting to board on M57 after 30 minutes? (assume that at the beginning of the inspection time nobody was in the line) In a bus station MS7 and M72 can stop and you can take either of them to go to your destination. The arrival headway for M5 is 4 minutes and for M72 is 6 minutes and arrival distribution of both is Poisson. a) If you arrive to the station, what is the expected wait time for you to get on any of these bus? b) If the arrival rate of the passenger for bus 57 is 2 passenger per minute, what is average length of queue of the people waiting to board on M57? c) If each bus can only board 2 passenger at the stop location, and if the arrival rate of the passenger for bus 57 is 5 passenger per minute, what is average length of queue of the people waiting to board on M57 after 30 minutes? (assume that at the beginning of the inspection time nobody was in the line)

Answer rating: 100% (QA)

a Let us assume that you reach station om time Now M57 ... View the full answer