Buffer overflow management in QoS switches
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Nearly optimal FIFO buffer management for DiffServ
Proceedings of the twenty-first annual symposium on Principles of distributed computing
Competitive queueing policies for QoS switches
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Dynamic routing on networks with fixed-size buffers
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Universal stability results for greedy contention-resolution protocols
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
The zero-one principle for switching networks
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Competitive queue policies for differentiated services
Journal of Algorithms
Scheduling policies for CIOQ switches
Journal of Algorithms
Packet routing and information gathering in lines, rings and trees
ESA'05 Proceedings of the 13th annual European conference on Algorithms
The network as a storage device: dynamic routing with bounded buffers
APPROX'05/RANDOM'05 Proceedings of the 8th international workshop on Approximation, Randomization and Combinatorial Optimization Problems, and Proceedings of the 9th international conference on Randamization and Computation: algorithms and techniques
Rate vs. buffer size--greedy information gathering on the line
ACM Transactions on Algorithms (TALG)
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The combination of the buffer sizes of routers deployed in the Internet, and the Internet traffic itself, leads routinely to the dropping of packets. Motivated by this, we are interested in the problem of maximizing the throughput of protocols that control packet networks. Moreover, we are interested in a setting where different packets have different priorities (or weights), thus taking into account Quality-of-Service considerations. We first extend the Competitive Network Throughput (CNT) model introduced by Aiello et al. [2003] to the weighted packets case. We analyze the performance of online, local-control protocols by their competitive ratio, in the face of arbitrary traffic, using as a measure the total weight of the packets that arrive to their destinations, rather than being dropped en-route. We prove that on Directed Acyclic Graphs (DAGs), any greedy protocol is competitive, with competitive ratio independent of the weights of the packets. Here we mean by a “greedy protocol” a protocol that not only does not leave a resource idle unnecessarily, but also prefers packets with higher weight over those with lower weight. We give two independent upper bounds on the competitive ratio of general greedy protocols on DAGs. We further give lower bounds that show that our upper bounds cannot be improved (other than constant factors) in the general case. Both our upper and lower bounds apply also to the unweighted case, and they improve the results given in Aiello et al. [2003] for that case. We thus give tight (up to constant factors) upper and lower bounds for both the unweighted and weighted cases. In the course of proving our upper bounds we prove a lemma that gives upper bounds on the delivery times of packets by any greedy protocol on general DAGs (without buffer size considerations). We believe that this lemma may be of independent interest and may find additional applications.