Berk Birand

Analyzing the performance of greedy maximal scheduling via local pooling and graph theory

Efficient operation of wireless networks and switches requires using simple (and in some cases distributed) scheduling algorithms. In general, simple greedy algorithms (known as Greedy Maximal Scheduling - GMS) are guaranteed to achieve only a fraction of the maximum possible throughput (e.g., 50% throughput in switches). However, it was recently shown that in networks in which the Local Pooling conditions are satisfied, GMS achieves 100% throughput. Moreover, in networks in which the σ- Local Pooling conditions hold, GMS achieves σ% throughput. In this paper, we focus on identifying the specific network topologies that satisfy these conditions. In particular, we provide the first characterization of all the network graphs in which Local Pooling holds under primary interference constraints (in these networks GMS achieves 100% throughput). This leads to a polynomial time algorithm for identifying Local Pooling-satisfying graphs. Moreover, by using similar graph theoretical methods, we show that in all bipartite graphs (i.e., input-queued switches) of size up to 7×n, GMS is guaranteed to achieve 66% throughput, thereby improving upon the previously known 50% lower bound. Finally, we study the performance of GMS in interference graphs and show that in certain specific topologies its performance could be very bad. Overall, the paper demonstrates that using graph theoretical techniques can significantly contribute to our understanding of greedy scheduling algorithms.

Dynamic Graph Properties of Mobile Networks under Levy Walk Mobility

The performance of many algorithms in dynamic networks depends on the properties of the underlying graph representing the network. Since such a graph is inherently timevarying, quantifying the change in its structure is important for understanding the behavior of higher-layer network algorithms. In this paper, we study change in the dynamic graph structure of mobile wireless networks that evolve over time due to node mobility. We define several graph evolution metrics and evaluate them through extensive numerical simulations under Levy Walk mobility, which has been shown previously to have similarities to human mobility patterns. Based on the mean and distribution of these metrics, we obtain important insights into the properties of the evolving graph generated by Levy Walk mobility, and then compare the results to the Random Waypoint mobility model. Finally, we discuss the effects of the rate of graph change on the performance of network applications such as data routing and flooding. Our results suggest that the proposed metrics are viable for quantitatively measuring the magnitude of change in a sequence of evolving graphs.

Analyzing the Performance of Greedy Maximal Scheduling via Local Pooling and Graph Theory

Efficient operation of wireless networks and switches requires using simple (and in some cases distributed) scheduling algorithms. In general, simple greedy algorithms (known as Greedy Maximal Scheduling - GMS) are guaranteed to achieve only a fraction of the maximum possible throughput (e.g., 50% throughput in switches). However, it was recently shown that in networks in which the Local Pooling conditions are satisfied, GMS achieves 100% throughput. Moreover, in networks in which the σ- Local Pooling conditions hold, GMS achieves σ% throughput. In this paper, we focus on identifying the specific network topologies that satisfy these conditions. In particular, we provide the first characterization of all the network graphs in which Local Pooling holds under primary interference constraints (in these networks GMS achieves 100% throughput). This leads to a polynomial time algorithm for identifying Local Pooling-satisfying graphs. Moreover, by using similar graph theoretical methods, we show that in all bipartite graphs (i.e., input-queued switches) of size up to 7×n, GMS is guaranteed to achieve 66% throughput, thereby improving upon the previously known 50% lower bound. Finally, we study the performance of GMS in interference graphs and show that in certain specific topologies its performance could be very bad. Overall, the paper demonstrates that using graph theoretical techniques can significantly contribute to our understanding of greedy scheduling algorithms.

Accelerating incast and multicast traffic delivery for data-intensive applications using physical layer optics

We present a control plane architecture to accelerate multicast and incast traffic delivery for data-intensive applications in cluster-computing interconnection networks. The architecture is experimentally examined by enabling physical layer optical multicasting on-demand for the application layer to achieve non-blocking performance.

Software-addressable optical accelerators for data-intensive applications in cluster-computing platforms

We present a control plane architecture to enable software-addressable optical acceleration from the application layer. The architecture is experimentally examined on a cluster-computing test-bed by enabling physical layer optical multicasting on-demand for the application layer to achieve non-blocking performance.