The increase of the instability of networks due to Quasi-Static link capacities
Spirakis, Paul G.
SourceTheoretical Computer Science
Google Scholar check
MetadataShow full item record
In this work, we study the impact of the dynamic changing of the network link capacities on the stability properties of packet-switched networks. Especially, we consider the Adversarial, Quasi-Static Queuing Theory model, where each link capacity may take on only two possible (integer) values, namely 1 and C > 1 under a (w, ρ)-adversary. We obtain the following results: •Allowing such dynamic changes to the link capacities of a network with just ten nodes that uses the LIS (Longest-in-System) protocol for contention-resolution results in instability at rates ρ > sqrt(2) - 1 and for large enough values of C.•The combination of dynamically changing link capacities with compositions of contention-resolution protocols on network queues suffices for similar instability bounds: The composition of LIS with any of SIS (Shortest-in-System), NTS (Nearest-to-Source), and FTG (Furthest-to-Go) protocols is unstable at rates ρ > sqrt(2) - 1 for large enough values of C.•The instability bound of the network subgraphs that are forbidden for stability is affected by the dynamic changes to the link capacities: we present improved instability bounds for all the directed subgraphs that were known to be forbidden for stability on networks running a certain greedy protocol. © 2007 Elsevier Ltd. All rights reserved.
Showing items related by title, author, creator and subject.
Andreou, Panayiotis G.; Zeinalipour-Yazdi, Constantinos D.; Samaras, George S.; Chrysanthis, Panos K. (2014)Wireless sensor networks enable users to monitor the physical world at an extremely high fidelity. In order to collect the data generated by these tiny-scale devices, the data management community has proposed the utilization ...
Savva, Giannis; Manousakis, Konstantinos; Ellinas, Georgios (2019)In this work, the concept of network coding (NC) is used in conjunction with the routing and spectrum allocation (RSA) problem to jointly provide security and protection in elastic optical networks (EONs). Specifically, ...
Morgan, Ethan; Skaathun, Britt; Nikolopoulos, Georgios K.; Paraskevis, Dimitrios; Williams, Leslie D.; Smyrnov, Pavlo; Friedman, Samuel R.; Schneider, John A. (2019)Individuals with recent/acute HIV-infection have an increased likelihood of disease transmission. To evaluate effectiveness of identifying recent infections, we compared networks of recently and long-term HIV-infected ...