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Leader Election in the Timed Finite Average Response Time Model

机译:在定时有限平均响应时间模型中的领导者选举

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Leader Election is one of the fundamental problems in distributed systems. A leader is a correct process that can be used to coordinate the work of a set of processes. An algorithm has to implement two properties to solve the Leader Election problem: 1. Safety: At any point in time there is at most one leader. 2. Liveness: Eventually there will be one leader forever. We showed in our previous work how to solve a weaker form of Leader Election in an asynchronous system with local clocks [1]. But for electing a leader the system needs to stabilize: a leader is only guaranteed to be elected during periods in which the system behaves synchronously. In this work we show that the stabilization property is not necessary for the Leader Election problem. We do this by examine the ability to solve Leader Election in the FAR model [2]. The FAR model does neither assume the existence of an upper bound on the communication or computation delays nor that the system stabilizes. Instead it assumes that the system is in a certain balance: computation is not infinitely fast, the communication subsystem has rudimentary congestion control and the average response time between two correct processes is finite. Our contribution is twofold: (1) we show that Leader Election is not solvable in the pure FAR model and (2) that it becomes solvable with local clocks with a bounded drift rate. Especially interesting is the implementation of the liveness property: we reuse an internal timeout originally introduced to provide liveness to a failure detector implementation.
机译:领导者选举是分布式系统的基本问题之一。领导者是一个正确的过程,可用于协调一组进程的工作。一种算法必须实施两个属性来解决领导者选举问题:1。安全:在任何时候都有最多的一个领导者。 2.活力:最终将永远存在一个领导者。我们在我们之前的工作中显示了如何在具有本地时钟的异步系统中解决较弱的领导者选举形式[1]。但是为了选举领导者,系统需要稳定:领导者仅保证在系统同步行为的时期中选择。在这项工作中,我们表明,领导者选举问题不需要稳定性。我们通过研究解决远期型号的领导者选举的能力来实现这一目标[2]。远程模型既不假设通信或计算延迟上限的存在,也不是系统稳定。相反,它假设系统处于一定余的余额:计算并不快速,通信子系统具有基本拥塞控制,并且两个正确的过程之间的平均响应时间是有限的。我们的贡献是双重的:(1)我们表明,领导选举在纯粹的远程模型中并不能解决(2),它与局部时钟具有有界漂移率的局部时钟。特别有趣的是实施活动性质:我们重用最初引入的内部超时,以提供对失败探测器实现的情愿。

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