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

abstract

• 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.

authors

• Duffield, Nick

published proceedings

• QUEUEING SYSTEMS

author list (cited authors)

• Duffield, N. G.

citation count

• 8

complete list of authors

• Duffield, NG

publication date

• October 1997

publisher

• Springer Nature  Publisher

published in

• Queueing Systems  Journal

keywords

• Dynamical Systems
• Lyapunov Exponents
• Polling Systems
• Recursion
• Tail Asymptotics

Digital Object Identifier (DOI)

• 10.1023/A:1019120905658

start page

• 105

end page

• 119

volume

• 26

issue

• 1-2

URL

• http://dx.doi.org/10.1023/a:1019120905658