Exploiting Spontaneous Transmissions for Broadcasting and Leader Election in Radio Networks

We study two fundamental communication primitives: broadcasting and leader election in the classical model of multi-hop radio networks with unknown topology and without collision detection mechanisms. It has been known for almost 20 years that in undirected networks with n nodes and diameter D , randomized broadcasting requires Ω( D log n / D + log 2 n ) rounds, assuming that uninformed nodes are not allowed to communicate (until they are informed). Only very recently, Haeupler and Wajc (PODC'2016) showed that this bound can be improved for the model with spontaneous transmissions, providing an O ( D log n log log n /log D + log O (1) n )-time broadcasting algorithm. In this article, we give a new and faster algorithm that completes broadcasting in O ( D log n /log D + log O (1) n ) time, succeeding with high probability. This yields the first optimal O ( D )-time broadcasting algorithm whenever n is polynomial in D . Furthermore, our approach can be applied to design a new leader election algorithm that matches the performance of our broadcasting algorithm. Previously, all fast randomized leader election algorithms have used broadcasting as a subroutine and their complexity has been asymptotically strictly larger than the complexity of broadcasting. In particular, the fastest previously known randomized leader election algorithm of Ghaffari and Haeupler (SODA'2013) requires O ( D log n / D min {log log n , log n / D } + log O (1) n )-time, succeeding with high probability. Our new algorithm again requires O ( D log n /log D + log O (1) n ) time, also succeeding with high probability.

A Jamming-Resilient and Scalable Broadcasting Algorithm for Multiple Access Channel Networks

Multiple access channel (MAC) networks use a broadcasting algorithm called the Binary Exponential Backoff (BEB) to mediate access to the shared communication channel by competing nodes and resolve their collisions. While the BEB achieves fair throughput and average packet latency in jamming-free environments and relatively small networks, its performance noticeably degrades when the network is exposed to jamming or its size increases. This paper presents an alternative broadcasting algorithm called the K-tuple Full Withholding (KTFW), which significantly increases MAC networks’ resilience to jamming attacks and network growth. Through simulation, we compare the KTFW with both the BEB and the Queue Backoff (QB), an efficient and high-throughput broadcasting algorithm. We compare the three approaches against two different traffic injection models, each approximating a different environment type. Our results show that the KTFW achieves higher throughput and lower average packet latency against jamming attacks than both the BEB and the QB algorithms. The results also show that the KTFW outperforms the BEB for larger networks with or without jamming.

Efficient Pipelined Broadcast with Monitoring Processing Node Status on a Multi-Core Processor

This paper presents an efficient pipelined broadcasting algorithm with the inter-node transmission order change technique considering the communication status of processing nodes. The proposed method changes the transmission order for the broadcast operation based on the communication status of processing nodes. When a broadcast operation is received, a local bus checks the remaining pre-existing transmission data size of each processing node; it then transmits data according to the changed transmission order using the status information. Therefore, the synchronization time can be hidden for the remaining time, until the pre-existing data transmissions finish; as a result, the overall broadcast completion time is reduced. The simulation results indicated that the speed-up ratio of the proposed algorithm was up to 1.423, compared to that of the previous algorithm. To demonstrate physical implementation feasibility, the message passing engine (MPE) with the proposed broadcast algorithm was designed by using Verilog-HDL, which supports four processing nodes. The logic synthesis results with TSMC 0.18 μm process cell libraries show that the logic area of the proposed MPE is 2288.1 equivalent NAND gates, which is approximately 2.1% of the entire chip area. Therefore, performance improvement in multi-core processors is expected with a small hardware area overhead.