@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},
	}