Abstract

In this paper, we propose the first efficient, reliable and safe snap-stabilizing $m$-$wave$ (multi-initiator wave) algorithm implementing concurrent waves started by multiple initiator processes in tree networks. Unlike its self-stabilizing counterpart and broadcast algorithms, the proposed algorithm is a reliable and safe $m$-wave algorithm, i.e. it implements an $m$-wave such that after it is started in an arbitrary initial configuration or after faults, the first $m$-wave started is guaranteed to reach all system processes as per its specification. In addition, the proposed $m$-wave algorithm increases the efficiency of the broadcast compared to a $1$-wave algorithm by allowing the broadcast to be initiated by multiple processes. Our proposed algorithm is safe in the sense that after initiating an $m$-wave, it completes as per the specifications. Additionally, it is reliable as the algorithm guarantees that each process receives at least one broadcast from an initiator process. Furthermore, the proposed algorithm significantly reduces the broadcast completion time compared to that of its single counterparts. Solutions to global-snapshots, distributed broadcast and various synchronization problems can be solved efficiently using waves with multiple concurrent initiators. In addition, the proposed algorithm has applications in mobile wireless sensor networks, VANETs and military communication networks.

中文翻译：

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关于图的（k，t）度量维

摘要

在本文中，我们提出了第一个有效，可靠和安全的快照稳定$ m $-$ wave $（多启动器波）算法，该算法实现了由树网络中多个启动器进程启动的并发波。与它的自稳定对应算法和广播算法不同，该算法是可靠且安全的$ m $ -wave算法，即，它实现了$ m $ -wave，以便在以任意初始配置启动或出现故障后，第一M $ $ -波开始是保证达到所有的系统进程按照它的规范。此外，所提出的$ M $ -波算法时相比增加一个$ 1 $广播的效率-波通过允许广播由多个进程来启动算法。我们提出的算法在某种意义上是安全的，因为在启动$ m $ -wave之后，它会按照规范完成。另外，它是可靠的，因为该算法保证每个进程都从发起方进程接收至少一个广播。此外，与单个算法相比，该算法大大减少了广播完成时间。全局快照，分布式广播和各种同步问题的解决方案可以使用带有多个并发启动器的wave有效地解决。另外，该算法在移动无线传感器网络，VANET和军事通信网络中都有应用。