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New Discoveries of Domination between Traffic Matrices

Pengfei Liu(liupengfei89***at***qq.com)
Wenguo Yang(yangwg***at***ucas.ac.cn)

Abstract: A traffic matrix $D_1$ dominates a traffic matrix $D_2$ if any capacity reservation supporting $D_1$ supports $D_2$ as well. We prove that $D_3$ dominates $D_3+ \lambda(D_2-D_1)$ for any $\lambda\geq 0$ if $D_1$ dominates $D_2$. By the property , it is pointed out that the domains supported by different traffic matrices are isomorphic on the extended concept of support. Besides, we offer an absolutely different way based on domination to help solve the Robust Network Design problem. Furthermore, we give the generalization to integral flows.

Keywords: robust network design, multicommodity flows, domination

Category 1: Robust Optimization

Category 2: Network Optimization

Citation:

Download: [PDF]

Entry Submitted: 10/14/2014
Entry Accepted: 10/14/2014
Entry Last Modified: 10/14/2014

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