Explore BrainMass

Explore BrainMass

    Queueing theory and poisson process

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    People arrive a a particular sales counter at the rate of 6 in any 15 minute period and are served on a "first come first served" basis. Arrivals occur randomly throughout the hour and the arrival rate is the same during the entire business day. It takes 5 minutes to service a single customer. How likely is it that exactly 1 customer will arrive in any 5 minutes?

    Using the basic informaion from above: If there are no additional customers waiting (or walking up to the counter) when a particular customer begins her transaction, what is the probability that no one will be waiting in line when her transaction is finished?

    © BrainMass Inc. brainmass.com June 3, 2020, 10:42 pm ad1c9bdddf
    https://brainmass.com/statistics/poisson-processes/queueing-theory-and-poisson-process-245653

    Solution Preview

    Please see attached file
    People arrive a a particular sales counter at the rate of 6 in any 15 minute period and are served on a "first come first served" basis. Arrivals occur randomly throughout the hour and the arrival rate is the same during the entire business day. It takes 5 minutes to service a single customer. How likely is it that exactly 1 customer will arrive in any 5 minutes?

    We have to calculate the probability of exactly one ...

    Solution Summary

    Calculates probabilities using poisson distribution.

    $2.19

    ADVERTISEMENT