abilene: Abilene data from Fang et al. (2007)

In networkTomography: Tools for network tomography

Description

Data from the 12 node Abilene network from Fang et al. (2007). Both the OD flows and the topology correspond to the actual network. This is the X1 dataset from the given paper.

Usage

abilene

Objects

The list abilene, which contains several objects:

• A, the routing matrix for this network (truncated for full row rank)

• X, a matrix of origin-destination flows formatted for analysis

• Y, a matrix of link loads formatted for analysis

• A.full, the routing matrix for this network without truncatation for full row rank)

• Y.full, a matrix of link loads corresponding to codeA.full

In this data, we have A %*% t(X) == t(Y) and A.full %*% t(X) == t(Y.full)

Variables

The list abilene contains the following:

• The routing matrix A. The columns of this matrix correspond to individual OD flows (the columns of X), and its rows correspond to individual link loads (the columns of Y).

• The OD matrix X. Columns correspond to individual OD flows, and the rows correspond to observations.

• The link load matrix Y. Columns of the Y matrix correspond to individual link loads, and the rows correspond to observations.

• The routing matrix A.full. This is the complete routing matrix before reduction for full row-rank.

• The link load matrix Y.full, corresponding to A.full.

References

J. Fang, Y. Vardi, and C.-H. Zhang. An iterative tomogravity algorithm for the estimation of network traffic. In R. Liu, W. Strawderman, and C.-H. Zhang, editors, Complex Datasets and Inverse Problems: Tomography, Networks and Beyond, volume 54 of Lecture Notes-Monograph Series. IMS, 2007.

networkTomography documentation built on May 2, 2019, 3:28 a.m.