On Stability of Widest Path in Network Routing
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 23, Issue 6
Abstract
The problem of widest path (WP) is a well-established topic in network routing and digital compositing. This paper contemplates one facet of the robustness of optimal solutions to the widest path; i.e., stability analysis of the WP problem. The study here deals with infimum and supremum perturbations which determine multiplicative changes each individual arc can tolerate conserving the optimality of a given WP. It is additionally illustrated how to determine these marginal values for all arcs, and an algorithm for computing all such values is proposed.
Authors and Affiliations
Ahmad Hosseini, Bita Kabir Baiki
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