@article{(Open Science Index):https://publications.waset.org/pdf/3541, title = {A Systematic Construction of Instability Bounds in LIS Networks}, author = {Dimitrios Koukopoulos}, country = {}, institution = {}, abstract = {In this work, we study the impact of dynamically changing link slowdowns on the stability properties of packetswitched networks under the Adversarial Queueing Theory framework. Especially, we consider the Adversarial, Quasi-Static Slowdown Queueing Theory model, where each link slowdown may take on values in the two-valued set of integers 1, D with D > 1 which remain fixed for a long time, under a (w, p)-adversary. In this framework, we present an innovative systematic construction for the estimation of adversarial injection rate lower bounds, which, if exceeded, cause instability in networks that use the LIS (Longest-in- System) protocol for contention-resolution. In addition, we show that a network that uses the LIS protocol for contention-resolution may result in dropping its instability bound at injection rates p > 0 when the network size and the high slowdown D take large values. This is the best ever known instability lower bound for LIS networks. }, journal = {International Journal of Computer and Information Engineering}, volume = {1}, number = {7}, year = {2007}, pages = {2249 - 2254}, ee = {https://publications.waset.org/pdf/3541}, url = {https://publications.waset.org/vol/7}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 7, 2007}, }