queuing theory

  1. H

    Mean waiting time due to aggregation of k poisson arrivals

    Dear Experts: I want to calculate the mean waiting time due to aggregation of k arrivals following poisson process with rate #λ#. Arrivals are served in chunk i.e., if N arrivals reach buffer, OR deterministic timer T expires. The timer ALWAYS starts at the first arrival. So, first arrival reach...
  2. M

    obtain inter-aarival from bulk arrival

    obtain inter-arrival from bulk arrival I have some data regarding the arrival of customers at a shop. These arrivals are bulk arrivals which have been collected at fixed time intervals (say, t1=0+x,t2=t1+x,t3=t2+x,..). How can I convert these bulk arrivals to inter-arrivals? what about using...
  3. M

    Probability of N requests executing on a server at the same time

    Greetings, I would like to find a layman's approach to estimate the probability of N requests executing on a server at the same time. In my model, there are 50 users making 3 requests each (150 total), randomly distributed across a 540-minute work day. Each request spends 1 minute executing...