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.
The list abilene, which contains several objects:
A, the routing matrix for this
network (truncated for full row rank)
matrix of origin-destination flows formatted for analysis
Y, a matrix of link loads formatted for
A.full, the routing matrix for this
network without truncatation for full row rank)
Y.full, a matrix of link loads corresponding to
In this data, we have
A %*% t(X)
== t(Y) and
A.full %*% t(X) == t(Y.full)
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
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.
A.full. This is the complete routing matrix
before reduction for full row-rank.
The link load matrix Y.full, corresponding to A.full.
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.
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