Exponents for the tails of distributions in some polling models Academic Article uri icon


  • The tail asymptotics of the distribution of the waiting-time W in some polling models is investigated. When this is of the form P[W > x] xe-x for some , , , we show how to calculate the exponents and , and we establish the extent and form of their dependence on the distributions of the service-time and switchover-time. The exponents are expressed in terms of the fixed points and Lyapunov exponents of a dynamical system which we associate with the recursion which is used to calculate the moment generating functions of the waiting time.

published proceedings


author list (cited authors)

  • Duffield, N. G.

citation count

  • 8

complete list of authors

  • Duffield, NG

publication date

  • October 1997