A nonstationary offered-load model for packet networks Academic Article

abstract

• Motivated by the desire to appropriately account for complex features of network traffic revealed in traffic measurements, such as heavy-tail probability distributions, long-range dependence, self similarity and nonstationarity, we propose a nonstationary offered-load model. Connections of multiple types arrive according to independent nonhomogeneous Poisson processes, and general bandwidth stochastic processes (not necessarily Markovian) describe the individual user bandwidth requirements at multiple links of a communication network during their connections. We obtain expressions for the moment generating function, mean and variance of the total required bandwidth of all customers on each link at any designated time. We justify Gaussian approximations by establishing a central limit theorem for the offered-load process. We also obtain a Gaussian approximation for the time-dependent buffer-content distribution in an infinite-capacity buffer with constant processing rate. The offered-load model can be used for predicting future bandwidth requirements; we then advocate exploiting information about the history of connections in progress. 2001 Kluwer Academic Publishers.

authors

• Duffield, Nick

published proceedings

• TELECOMMUNICATION SYSTEMS

author list (cited authors)

• Duffield, N. G., Massey, W. A., & Whitt, W.

citation count

• 15

complete list of authors

• Duffield, NG||Massey, WA||Whitt, W

publication date

• March 2001

publisher

• Springer Nature  Publisher

keywords

• Atm
• Communication Networks
• Congestion Control
• Fluid Queues
• Gaussian Approximation
• Ip
• Nonstationary Offered-load Models
• Overload Control
• Source Traffic Models
• Statistical Multiplexing
• Time-dependent Behavior

Digital Object Identifier (DOI)

• 10.1023/A:1016654625257

start page

• 271

end page

• 296

volume

• 16

issue

• 3-4

URL

• http://dx.doi.org/10.1023/a:1016654625257