Recent content by mkln

  1. M

    Stochastic processes: infinite server queue with batch poisson arrivals

    Hi everyone, I am trying to solve this problem but I am stuck with doubts. Here are my ideas. Homework Statement Busloads of customers arrive at an infinite server queue at a Poisson rate λ Let G denote the service distribution. A bus contains j customers with probability aj = 1...
  2. M

    Find Sup and prove it only using the basic definition

    We're not even supposed to show how we find that number. We are only asked to prove it is the supremum.
  3. M

    Find Sup and prove it only using the basic definition

    I found the supremum thinking of the expression as being a difference equation, but this does not matter. The problem with this problem (sic) is that we are supposed to limit ourselves to sets and the definition of supremum. Therefore we cannot use concepts such as sequences, or limits. In...
  4. M

    Find Sup and prove it only using the basic definition

    Hi everyone. I am trying to solve this problem, but I cannot manage to get a satisfactory solution. It's actually interesting, if only it was for self-knowledge and not for a grade. Homework Statement Let A be in R and such that: A:=\{a_1, a_2, ...\} with a_1 = 1; a_{k+1} = 1+...
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