error025

Title : Thinning a Poisson Process

Author: Tobias Hoßfeld

Short Description:

We are considering arrival events following a Poisson process, as e.g. in the M/M/1 queue with rate lambda. However, arrivals from Poisson process are discarded. In scenario A), every second arrival is discarded. In scenario B), each arrival is independently discarded with probability 1/2. Is there a difference in the performance of both systems?

Keywords:

• • Poisson process

  • Exponential distribution

  • Erlang distribution

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