From 0e5b5b2603de06e65b10880f92ad2f9c2d7038b2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?F=C3=A1bio=20Mata?= <48092637+fmata97@users.noreply.github.com> Date: Fri, 8 Mar 2024 00:08:09 +0000 Subject: [PATCH] =?UTF-8?q?[SD]=20Add=20"Replica=C3=A7=C3=A3o=20e=20Toler?= =?UTF-8?q?=C3=A2ncia=20a=20Faltas"=20page=20(#1003)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-authored-by: Nuno Gonçalves --- .../0005-replicacao-e-tolerancia-a-faltas.md | 406 ++++++++++++++++++ .../sd/assets/0005-ABD-algorithm-example.svg | 21 + .../sd/assets/0005-ABD-algorithm-intuiton.svg | 21 + .../0005-ABD-algorithm-not-atomic-example.svg | 21 + .../assets/0005-operation-sorting-example.svg | 21 + .../sd/assets/0005-replication-example.svg | 21 + .../sd/assets/0005-safe-register-example.svg | 21 + .../0005-serialization-example-1-sol.svg | 21 + .../assets/0005-serialization-example-1.svg | 21 + .../assets/0005-serialization-example-2.svg | 21 + .../assets/0005-serialization-example-3.svg | 21 + .../sd/assets/0005-xu-liskov-put-example.svg | 21 + .../sd/assets/0005-xu-liskov-read-example.svg | 21 + .../sd/assets/0005-xu-liskov-take-example.png | Bin 0 -> 168527 bytes 14 files changed, 658 insertions(+) create mode 100644 content/sd/0005-replicacao-e-tolerancia-a-faltas.md create mode 100755 content/sd/assets/0005-ABD-algorithm-example.svg create mode 100755 content/sd/assets/0005-ABD-algorithm-intuiton.svg create mode 100755 content/sd/assets/0005-ABD-algorithm-not-atomic-example.svg create mode 100755 content/sd/assets/0005-operation-sorting-example.svg create mode 100755 content/sd/assets/0005-replication-example.svg create mode 100755 content/sd/assets/0005-safe-register-example.svg create mode 100755 content/sd/assets/0005-serialization-example-1-sol.svg create mode 100755 content/sd/assets/0005-serialization-example-1.svg create mode 100755 content/sd/assets/0005-serialization-example-2.svg create mode 100755 content/sd/assets/0005-serialization-example-3.svg create mode 100755 content/sd/assets/0005-xu-liskov-put-example.svg create mode 100755 content/sd/assets/0005-xu-liskov-read-example.svg create mode 100755 content/sd/assets/0005-xu-liskov-take-example.png diff --git a/content/sd/0005-replicacao-e-tolerancia-a-faltas.md b/content/sd/0005-replicacao-e-tolerancia-a-faltas.md new file mode 100644 index 00000000..4484a2e0 --- /dev/null +++ b/content/sd/0005-replicacao-e-tolerancia-a-faltas.md @@ -0,0 +1,406 @@ +--- +title: Replicação e Tolerância a Faltas +description: > + Tipos de registos. + + Memória partilhada. + + Espaço de tuplos. +path: /sd/replicacao-e-tolerancia-a-faltas +type: content +--- + +# Replicação e Tolerância a Faltas + +```toc + +``` + +## Introdução a sistemas replicados + +A replicação consiste no processo de **manter cópias de dados e software** de um +serviço em **várias máquinas**. + +![Diagrama de uma replicação](./assets/0005-replication-example.svg#dark=3) + +### Benefícios de replicar um sistema + +- melhor **disponibilidade**: mesmo que alguns nós falhem ou fiquem indisponíveis + devido a falhas na rede, o sistema continua disponível +- melhor **desempenho e escalabilidade**: + - Podem existir cópias mais próximas do cliente + - Algumas operações não precisam de ser executadas sobre todo o sistema, podendo + ser executadas apenas sobre algumas cópias (distribuindo assim a carga e + aumentando a escalabilidade) + +### Linearizabilidade + +Uma das garantias essenciais que um sistema replicado tem que assegurar é a +**coerência**. +O ideal seria um cliente ler a **versão mais recente** do recurso +sempre que lê de uma réplica (mesmo que essa versão tenha sido escrita noutra réplica). +Um critério de coerência que podemos utilizar é a **linearizabilidade**. +Antes de definirmos o que é, é necessário ter em conta o seguinte quanto à ordenação +de operações: + +- As operações realizadas sobre um sistema replicado **não são instantâneas**: + - A operação é invocada por um cliente, executada durante algum tempo e o cliente + só recebe a resposta mais tarde. +- Se uma operação X começa depois de outra operação Y acabar, então X ocorre depois de Y +- Se uma operação X começa antes de outra operação Y acabar, então X é concorrente com Y + +:::details[Exemplo] + +![Exemplo de ordenação de operações](./assets/0005-operation-sorting-example.svg#dark=3) + +- A concorrente com B +- A anterior a C +- B anterior a C +- C concorrente com D +- C anterior a E +- D concorrente com E + +::: + +:::info[Definição] + +Um sistema replicado diz-se **linearizável** se e só se: + +1. Existe uma **serialização virtual** que respeita o **tempo real** em que as + operações foram invocadas, isto é: + + - Se $op_1$ ocorre antes de $op_2$ (em tempo real), então $op_1$ tem de aparecer + antes de $op_2$ na serialização virtual. (se $op_1$ e $op_2$ forem concorrentes, + a serialização pode ordená-las de forma arbitrária) + +2. A execução observada por cada cliente é coerente com essa serialização (para + todos os clientes), ou seja: + - Os valores retornados pelas leituras feitas por cada cliente refletem as + operações anteriores na serialização + +::: + +:::details[Exercício] + +> Considere os seguintes exemplos em que um cliente escreve sobre um inteiro replicado. +> Quais das execuções são serializáveis? +> +> Exemplo 1: +> ![Exemplo 1 de serialização](./assets/0005-serialization-example-1.svg#dark=3) +> +> Exemplo 2: +> ![Exemplo 2 de serialização](./assets/0005-serialization-example-2.svg#dark=3) +> +> Exemplo 3: +> ![Exemplo 3 de serialização](./assets/0005-serialization-example-3.svg#dark=3) + +**R**: Apenas o 1º exemplo: + +![Solução exemplo 1](./assets/0005-serialization-example-1-sol.svg#dark=3) + +::: + +## Registos partilhados e replicados + +Um registo suporta duas operações: + +- Escrita: + - uma escrita substitui o valor da anterior + - apenas um cliente pode escrever no registo num dado instante, ou seja, as + escritas são ordenadas +- Leitura: + - múltiplos clientes podem ler do registo ao mesmo tempo + +### Tipos de registos + +Lamport definiu três modelos de coerência para registos: + +- **Safe**: + + - Se uma leitura não for concorrente com uma escrita, lê o último valor escrito + - Se for, pode retornar um valor arbitrário + +- **Regular**: + + - Se uma leitura não for concorrente com uma escrita, lê o último valor escrito + - Se for, ou retorna o valor anterior ou o valor que está a ser escrito + - **NOTA**: este tipo de registo não é linearizável, já que enquanto decorre uma + escrita, é possível que leituras seguidas leiam sequências incoerentes de + valores (primeiro o novo valor e depois o antigo) + +- **Atomic**: + - Equivalente a linearizabilidade quando aplicada a registos + - O resultado da execução é equivalente ao resultado de uma execução em que todas + as escritas e leituras ocorrem instantaneamente num ponto entre o início e o + fim da operação + +:::details[Exemplos] + +- registo "Unsafe": + +![Exemplo de registo unsafe](./assets/0005-serialization-example-2.svg#dark=3) + +- registo "Safe": + +![Exemplo de registo safe](./assets/0005-safe-register-example.svg#dark=3) + +- registo "Regular": + +![Exemplo de registo regular](./assets/0005-serialization-example-3.svg#dark=3) + +- registo "Atomic": + +![Exemplo de registo atomic](./assets/0005-serialization-example-1-sol.svg#dark=3) + +::: + +:::tip[De onde surgiu a ideia de um registo "safe"?] + +Considere um registo com o valor $0$ (em binário: $0000~0000$) e que se quer +escrever o valor $3$ (em binário: $0000~0011$). Se não existir um mecânismo de +sincronização que impeça o leitor de ler o registo durante a escrita, a leitura +pode retornar um dos seguintes valores: + +- $0000~0000$ = $0$ +- $0000~0001$ = $1$ +- $0000~0010$ = $2$ +- $0000~0011$ = $3$ + +(já que os bits são alterados individualmente em instantes diferentes) + +::: + +### Registos distribuídos + +Uma forma de implementar registos distribuídos é a seguinte: + +- Cada processo mantém uma cópia do registo +- Cada registo guarda um tuplo `` +- Para executar uma operação (leitura ou escrita), os processos trocam mensagens + entre si + +É possível implementar este funcionamento de forma a que seja tolerante a faltas +e não bloqueante! + +#### Algoritmo ABD + +Registo regular (com um só escritor): + +- Escrita: + + - O escritor incrementa o número de versão e envia o tuplo `` + para todos os processos. + - Quando os outros processos recebem esta mensagem, atualizam a sua cópia do + registo (caso seja uma versão mais recente que a local) e enviam uma confirmação + ao escritor. + - A operação termina quando o escritor receber resposta de uma maioria. + +- Leitura: + - O leitor envia uma mensagem a todos os processos solicitando o tuplo mais recente + - Cada processo envia o seu tuplo `` + - Após receber resposta de uma maioria, retorna o valor mais recente e atualiza + o valor local (caso necessário) + +![Intuição do algoritmo](./assets/0005-ABD-algorithm-intuiton.svg#dark=3) + +:::details[Exemplo] + +![Exemplo de execução do algoritmo](./assets/0005-ABD-algorithm-example.svg#dark=3) + +::: + +:::warning[O algoritmo não é atómico] + +![Diagrama que demonstra que o algoritmo não é atómico +](./assets/0005-ABD-algorithm-not-atomic-example.svg#dark=3) + +Tal como ilustrado no diagrama, é possível obter leituras diferentes consoante +as réplicas que contactamos (lendo $v_1$, depois $v_0$ e $v_1$ novamente), violando o +princípio da [linearizabilidade](./#linearizabilidade). + +::: + +Registo atómico (com um só escritor): + +- Escrita: + + - Idêntico ao anterior. + +- Leitura: + - Executa o algoritmo de leitura anterior **mas não retorna o valor** + - Executa o algoritmo de escrita, **usando o valor lido** + - **Retorna** o valor lido apenas **após a escrita ter terminado** + +### Espaço de Tuplos + +#### Espaço de Tuplos "Linda" + +Consiste num espaço partilhado que contêm um conjunto de tuplos (ex: `<"A">`, +`<"A", 1>`, `<"A", "B">`) e que suporta 3 operações: + +- `Put`: adiciona um tuplo (sem afetar os tuplos existentes) no espaço +- `Read`: retorna o valor de um tuplo (sem afetar o conteúdo do espaço) +- `Take`: também retorna um tuplo mas remove-o do espaço +- Tanto `Read` como `Take` são bloqueantes caso o tuplo não exista +- Tanto `Read` como `Take` aceitam _wildcards_: `Read(<"A", *>)` pode retornar + `<"A", 1>` ou `<"A", "B">` + +Como o `Take` é bloqueante, pode ser usado para sincronizar processos: + +- Elege-se um tuplo especial, por ex. ``. +- Cada processo remove o tuplo do espaço antes de aceder à região crítica e volta + a colocá-lo no fim, garantindo assim exclusão mútua +- Conseguimos assim através de uma única interface partilhar memória e sincronizar + processos + +Enquanto que nos registos uma escrita fazia _override_ do valor antigo, aqui o +processo equivalente é realizar um `Take` seguido de um `Put` (os tuplos são +imutáveis). O `Take` permite fazer operações que em memória partilhada requerem +uma instrução do tipo +[_**compare-and-swap**_](/so/implementation/#solu%C3%A7%C3%B5es-com-suporte-do-hardware). + +:::tip[Nota] + +Note que as operações `Put`, `Read` e `Take` são conhecidas como `out`, `rd` e +`in` no modelo Linda, usamos estes nomes mais descritivos como simplificação. + +::: + +#### _Xu-Liskov_ + +Muitas das implementações de espaços de tuplos adotam uma solução centralizada. +Isto tem vantagens em termos de simplicidade, mas tais soluções não são +tolerantes a falhas nem escaláveis. + +_Xu-Liskov_ é uma implementação **distribuída e tolerante a faltas** do "Linda". + +:::warning[Algumas observações prévias] + +- A tolerância de faltas pressupõe um serviço de filiação que gere o grupo de + réplicas: + + - **Quando uma réplica falha, a filiação do grupo é alterada** + +- Sendo assim, quando o algoritmo **espera por "todas"** as respostas ou pela maioria + delas, **refere-se à filiação do grupo** num dado instante. + +- Esta alteração dinâmica da filiação é um problema bastante complexo por si só + e portanto não vai ser abordado + +- Os autores optam por usar [_**UDP**_](/rc/transporte/#udp---user-datagram-protocol) + (portanto pode haver perda de mensagens), sendo o próprio algoritmo responsável + por retransmitir mensagens. + - Solução modular: usar [_**TCP**_](/rc/transporte/#tcp---transmission-control-protocol) + +::: + +O objetivo dos autores com este _design_ era obter a solução mais eficiente e com +o menor tempo de resposta possível, mas assegurando +[linearizabilidade](./#linearizabilidade). + +:::info[Funcionamento do algoritmo] + +`Put`: + +1. The requesting site multicasts the `put` request to all members of the view; +2. On receiving this request, members insert the tuple into their replica and + acknowledge this action; +3. Step 1 is repeated until all acknowledgements are received. + For the correct operation of the protocol, replicas must detect and acknowledge + duplicate requests, but not carry out the associated put operations. + +`Read`: + +1. The requesting site multicasts the `read` request to all members of the view; +2. On receiving this request, a member returns a matching tuple to the requestor, +3. The requestor returns the first matching tuple received as the result of the + operation (ignoring others); +4. Step 1 is repeated until at least one response is received. + +`Take`: + +**Phase 1**: Selecting the tuple to be removed + +1. The requesting site multicasts the `take` request to all members of the view; +2. On receiving this request, each replica acquires a lock on the associated tuple + set and, if the lock cannot be acquired, the `take` request is rejected; +3. All accepting members reply with the set of all matching tuples; +4. Step 1 is repeated until all sites have accepted the request and responded with + their set of tuples and the intersection is non-null; +5. A particular tuple is selected as the result of the operation (selected + randomly from the intersection of all the replies); +6. If only a minority accept the request, this minority are asked to release their + locks and phase 1 repeats. + +**Phase 2**: Removing the selected tuple + +1. The requesting site multicasts a remove request to all members of the view + citing the tuple to be removed; +2. On receiving this request, members remove the tuple from their replica, send + an acknowledgement and release the lock; +3. Step 1 is repeated until all acknowledgements are received. + +::: + +Visto que este algoritmo foi projetado para minimizar o _delay_ : + +- Operações `read` apenas bloqueiam até que a primeira réplica responda ao pedido +- Operações `take` bloqueiam até o final da fase 1, quando o tuplo a ser excluído foi acordado +- Operações `put` podem retornar imediatamente + +No entanto, isto introduz níveis inaceitáveis de concorrência. Por exemplo, uma +operação `read` pode aceder a um tuplo que deveria ter sido excluído na segunda +fase de uma operação `take`. Assim, são necessárias as seguintes restrições adicionais: + +- As operações de cada _worker_ devem ser executadas em cada réplica na mesma ordem + em que foram emitidas pelo _worker_ +- Uma operação `put` não deve ser executada em nenhuma réplica até que todas as + operações `take` anteriores, emitidas pelo mesmo _worker_, tenham sido concluídas + em todas as réplicas (na visão do mesmo) + +:::tip[Nota] + +> Operações `take` bloqueiam até o final da fase 1, quando o tuplo a ser excluído foi acordado + +Note que isto é uma otimização para minimizar a latência, no algoritmo original +o _worker_ fica bloqueado até o final da fase 2. Esta otimização não faz parte +do projeto. + +::: + +:::details[Exemplos] + +`Read`: + +![Exemplo de operação "Read"](./assets/0005-xu-liskov-read-example.svg#dark=3) + +`Put`: + +![Exemplo de operação "Put"](./assets/0005-xu-liskov-put-example.svg#dark=3) + +`Take`: + +![Exemplo de operação "Take"](./assets/0005-xu-liskov-take-example.png#dark=3) + +::: + +Imaginemos que o `Read` não era bloqueante, ou seja, ou retornava o tuplo +ou "_null_". O sistema continuaria a ser linearizável? **Não**, pois seria possível: + +- Um cliente executa `Put` de um tuplo $t$ +- Um cliente executa `Read(t)` várias vezes, concorrentemente com o `Put` +- Se o leitor recebe respostas de réplicas diferentes em cada `Read`, pode ler $t$ + e de seguida "_null_" + +Quanto ao `Take`, é possível que dois processos tentem fazer `Take` do mesmo tuplo +concorrentemente e nenhum consiga a maioria (_deadlock_). Para resolver este problema +introduz-se um fator de aleatoriedade: cada processo repete o seu pedido um tempo +aleatório depois (solução não determinista). + +## Referências + +- Coulouris et al - Distributed Systems: Concepts and Design (5th Edition) + - Secção 6.5 +- Departamento de Engenharia Informática - Slides de Sistemas Distribuídos (2023/2024) + - SlidesTagus-Aula05 + - SlidesAlameda-Aula05 diff --git a/content/sd/assets/0005-ABD-algorithm-example.svg b/content/sd/assets/0005-ABD-algorithm-example.svg new file mode 100755 index 00000000..9fe19b7e --- /dev/null +++ b/content/sd/assets/0005-ABD-algorithm-example.svg @@ -0,0 +1,21 @@ + + + + + + + + Cliente_wr2r3r1Cliente_R1Cliente_R2<v0,t0><v0,t0><v0,t0>r2r3r1X<v1,t1><v1,t1>Escreve<v1,t1>Quórum de acksretorna ao clienteXMensagem pode demorar muitoou o cliente pode falhar enunca ser recebida por R3Leitura 1devolve V0Leitura 2devolve V1 \ No newline at end of file diff --git a/content/sd/assets/0005-ABD-algorithm-intuiton.svg 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