542 research outputs found
Round-Based Consensus Algorithms, Predicate Implementations and Quantitative Analysis
Fault-tolerant computing is the art and science of building computer systems that continue to operate normally in the presence of faults. The fault tolerance field covers a wide spectrum of research area ranging from computer hardware to computer software. A common approach to obtain a fault-tolerant system is using software replication. However, maintaining the state of the replicas consistent is not an easy task, even though the understanding of the problems related to replication has significantly evolved over the past thirty years. Consensus is a fundamental building block to provide consistency in any fault-tolerant distributed system. A large number of algorithms have been proposed to solve the consensus problem in different systems. The efficiency of several consensus algorithms has been studied theoretically and practically. A common metric to evaluate the performance of consensus algorithms is the number of communication steps or the number of rounds (in round-based algorithms) for deciding. A large amount of improvements to consensus algorithms have been proposed to reduce this number under different assumptions, e.g., nice runs. However, the efficiency expressed in terms of number of rounds does not predict the time it takes to decide (including the time needed by the system to stabilize or not). Following this idea, the thesis investigates the round model abstraction to represent consensus algorithms, with benign and Byzantine faults, in a concise and modular way. The goal of the thesis is first to decouple the consensus algorithm from irrelevant details of implementations, such as synchronization, then study different possible implementations for a given consensus algorithm, and finally propose a more general analytical analysis for different consensus algorithms. The first part of the thesis considers the round-based consensus algorithms with benign faults. In this context, the round model allowed us to separate the consensus algorithms from the round implementation, to propose different round implementations, to improve existing round implementations by making them swift, and to provide quantitative analysis of different algorithms. The second part of the thesis considers the round-based consensus algorithms with Byzantine faults. In this context, there is a gap between theoretical consensus algorithms and practical Byzantine fault-tolerant protocols. The round model allowed us to fill the gap by better understanding existing protocols, and enabled us to express existing protocols in a simple and modular way, to obtain simplified proofs, to discover new protocols such as decentralized (non leader-based) algorithms, and finally to perform precise timing analysis to compare different algorithms. The last part of the thesis shows, as an example, how a round-based consensus algorithm that tolerates benign faults can be extended to wireless mobile ad hoc networks using an adequate communication layer. We have validated our implementation by running simulations in single hop and multi-hop wireless networks
Byzantine fault-tolerant agreement protocols for wireless Ad hoc networks
Tese de doutoramento, Informática (Ciências da Computação), Universidade de Lisboa, Faculdade de Ciências, 2010.The thesis investigates the problem of fault- and intrusion-tolerant consensus
in resource-constrained wireless ad hoc networks. This is a fundamental
problem in distributed computing because it abstracts the need
to coordinate activities among various nodes. It has been shown to be a
building block for several other important distributed computing problems
like state-machine replication and atomic broadcast.
The thesis begins by making a thorough performance assessment of existing
intrusion-tolerant consensus protocols, which shows that the performance
bottlenecks of current solutions are in part related to their system
modeling assumptions. Based on these results, the communication failure
model is identified as a model that simultaneously captures the reality
of wireless ad hoc networks and allows the design of efficient protocols.
Unfortunately, the model is subject to an impossibility result stating that
there is no deterministic algorithm that allows n nodes to reach agreement
if more than n2 omission transmission failures can occur in a communication
step. This result is valid even under strict timing assumptions (i.e.,
a synchronous system).
The thesis applies randomization techniques in increasingly weaker variants
of this model, until an efficient intrusion-tolerant consensus protocol
is achieved. The first variant simplifies the problem by restricting the
number of nodes that may be at the source of a transmission failure at
each communication step. An algorithm is designed that tolerates f dynamic
nodes at the source of faulty transmissions in a system with a total
of n 3f + 1 nodes.
The second variant imposes no restrictions on the pattern of transmission
failures. The proposed algorithm effectively circumvents the Santoro-
Widmayer impossibility result for the first time. It allows k out of n nodes
to decide despite dn
2 e(nk)+k2 omission failures per communication
step. This algorithm also has the interesting property of guaranteeing
safety during arbitrary periods of unrestricted message loss.
The final variant shares the same properties of the previous one, but relaxes
the model in the sense that the system is asynchronous and that a
static subset of nodes may be malicious. The obtained algorithm, called
Turquois, admits f < n
3 malicious nodes, and ensures progress in communication
steps where dnf
2 e(n k f) + k 2. The algorithm is
subject to a comparative performance evaluation against other intrusiontolerant
protocols. The results show that, as the system scales, Turquois
outperforms the other protocols by more than an order of magnitude.Esta tese investiga o problema do consenso tolerante a faltas acidentais
e maliciosas em redes ad hoc sem fios. Trata-se de um problema fundamental
que captura a essência da coordenação em actividades envolvendo
vários nós de um sistema, sendo um bloco construtor de outros importantes
problemas dos sistemas distribuÃdos como a replicação de máquina
de estados ou a difusão atómica.
A tese começa por efectuar uma avaliação de desempenho a protocolos
tolerantes a intrusões já existentes na literatura. Os resultados mostram
que as limitações de desempenho das soluções existentes estão em parte
relacionadas com o seu modelo de sistema. Baseado nestes resultados, é
identificado o modelo de falhas de comunicação como um modelo que simultaneamente
permite capturar o ambiente das redes ad hoc sem fios e
projectar protocolos eficientes. Todavia, o modelo é restrito por um resultado
de impossibilidade que afirma não existir algoritmo algum que permita
a n nós chegaram a acordo num sistema que admita mais do que n2
transmissões omissas num dado passo de comunicação. Este resultado é
válido mesmo sob fortes hipóteses temporais (i.e., em sistemas sÃncronos)
A tese aplica técnicas de aleatoriedade em variantes progressivamente
mais fracas do modelo até ser alcançado um protocolo eficiente e tolerante
a intrusões. A primeira variante do modelo, de forma a simplificar
o problema, restringe o número de nós que estão na origem de transmissões
faltosas. É apresentado um algoritmo que tolera f nós dinâmicos na
origem de transmissões faltosas em sistemas com um total de n 3f + 1
nós.
A segunda variante do modelo não impõe quaisquer restrições no padrão
de transmissões faltosas. É apresentado um algoritmo que contorna efectivamente
o resultado de impossibilidade Santoro-Widmayer pela primeira
vez e que permite a k de n nós efectuarem progresso nos passos de comunicação
em que o número de transmissões omissas seja dn
2 e(n
k) + k 2. O algoritmo possui ainda a interessante propriedade de tolerar
perÃodos arbitrários em que o número de transmissões omissas seja
superior a .
A última variante do modelo partilha das mesmas caracterÃsticas da variante
anterior, mas com pressupostos mais fracos sobre o sistema. Em particular,
assume-se que o sistema é assÃncrono e que um subconjunto estático
dos nós pode ser malicioso. O algoritmo apresentado, denominado
Turquois, admite f < n
3 nós maliciosos e assegura progresso nos passos
de comunicação em que dnf
2 e(n k f) + k 2. O algoritmo é
sujeito a uma análise de desempenho comparativa com outros protocolos
na literatura. Os resultados demonstram que, à medida que o número de
nós no sistema aumenta, o desempenho do protocolo Turquois ultrapassa
os restantes em mais do que uma ordem de magnitude.FC
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