Reduced load equivalence under subexponentiality Conference Paper uri icon

abstract

  • The stationary workload W A+B of a queue with capacity loaded by two independent processes A and B is investigated. When the probability of load deviation in process A decays slower v than both in B and e -x , we show that W A+B is asymptotically equal to the reduced load queue W A-b , where b is the mean rate of B. Given that this property does not hold when both processes have lighter than e -x deviation decay rates, our result establishes the criticality of e -x in the functional behavior of the workload distribution. Furthermore, using the same methodology, we show that under an equivalent set of conditions the results on sampling at subexponential times hold.

published proceedings

  • QUEUEING SYSTEMS

author list (cited authors)

  • Jelenkovic, P., Momcilovic, P., & Zwart, B.

citation count

  • 17

complete list of authors

  • Jelenkovic, P||Momcilovic, P||Zwart, B

publication date

  • January 2004