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