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If A and B are events in same process, and A was executed before B, then A B If A is event of sending a message and B is event of receiving that message, then A B If A B and B C then A C!#* (Implementation of FAssociate a timestamp with each system event. For every pair of events A and B, if A B, then TS(A) TS(B) Each process Pi has a logical clock LCi - a counter incremented between any two successive events within Pi Pi advances its logical clock when it receives a message whose timestamp is greater than LCi If TS(A) = TS(B), then the events are concurrent. Use process id to break ties and create a total orderingV&CXm#Distributed Mutual Exclusion (DME) Processes at different processors using critical sections to update shared data Centralized approach Choose a process as coordinator; whenever a process wants to enter its CS sends a request to it If nobody is in its CS the coordinator replies, otherwise it queues the request After exiting its CS, process sends release msg. to coordinator Pros & Cons Fair and easy to implement Can be used for more general resource allocation Coordinator is single point of failure and potential bottleneck Is it a dead coordinator or permission denied?BeZZZeDME - Distributed Algorithm>Who wants to enter its critical section sends time-stamped request (Pi, TS) to all others What does Pj do when receiving a request? If Pj is in its CS, then it defers its reply If Pj does not want to enter its CS, it sends reply immediately If Pj wants to enter its CS, it compares requests timestamps If its own request has timestamp greater than TS, sends reply Otherwise, the reply is deferred When Pi receives a reply from all other processes in the system, it can enter its CS When exiting CS, it sends reply to all its deferred requests_E   , ? 9_     DME - Distributed AlgorithmPros and Cons Freedom from deadlock and starvation Single point of failure replaced by n points of failure! Before only the coordinator involved, now everybody! Ps that have not entered their CS must pause frequently to assure other Ps that they intend to enter the CS Use group communication or all processes need to know of all other in the system Protocol is suited for small, stable sets of cooperating Ps Variation using simple majority :!!.2DME - Token Ring AlgorithmNKeep a logical ring of processes and pass a token around When a process acquires the token If it is attempting to enter its CS, enter and pass it on Otherwise just pass it on Problems Detect and regenerate lost token Deal with crashed processes  bypassing requires knowledge of the group again& N[T p[T p /34DME  Algorithm Comparison )-Reaching AgreementNeed a mechanism to allow set of processes to agree on a common value Two potential problems: Faulty communication Faulty processes Fail-stop model Byzantine generals Faulty communication  assuming a fail-stop model Pi sent msg. to Pj; Pi needs to know if Pj has received the msg. Detect failures using a time-out scheme When Pj receives the msg., it immediately sends an ack to Pi If a time-out occurs, Pi needs to retransmit and wait for an ack Continue & If Pj also needs to know that Pi has received its ack In the presence of failure, it is not possible to do this It is not possible for Pi and Pj to agree completely on their respective states^Z&Z#Z2ZZ6ZZ^&#2      E 4  4  R  0+/$Faulty Processes & Communication medium is reliable, but processes can fail in unpredictable ways Consider a system of n processes, of which no more than m are faulty. Suppose that each process Pi has some private value of Vi Devise an algorithm that allows each nonfaulty Pi to construct a vector Xi = (Ai,1, Ai,2, & , Ai,n) such that If Pj is a nonfaulty process, then Ai,j = Vi If Pi and Pj are both nonfaulty processes, then Ai = Xi Solutions share the following properties A correct algorithm can be devised only if n 3 x m + 1 The worst-case delay for reaching agreement is proportionate to m + 1 message-passing delays=e)d")1 %)- i ,0Faulty Processes4An algorithm for (m = 1, n = 4) requires two rounds of information exchange: Each process sends its private value to the other 3 processes Each process sends the information it has obtained in the first round to all other processes If a faulty process refuses to send messages, a nonfaulty process can choose an arbitrary value and pretend that that value was sent by that process. After the two rounds are completed, a nonfaulty Pi can construct its vector Xi = (Ai,1, Ai,2, Ai,3, Ai,4) as follows: Ai,j = Vi For j i, if at least two of the three values reported for Pj agree, then the majority value is used for Ai,j. Otherwise, a default value (nil) is used. bM  /       7  ,    +  "&Election AlgorithmsDetermine where a new copy of the coordinator should be restarted. A unique priority number is associated with each active process, for simplicity priority(Pi) = i Coordinator is always process with highest priority When coordinator fails  elections Bully algorithm - every process can send a msg. to every other one Ring algorithm - system organized as a ring (logically) 8|^|#'Bully AlgorithmWhen a process, P, notices that coordinator is not longer responding, it initiates an election P sends an election msg. to all processes with higher numbers If no one responds, P wins the election and becomes the coordinator If one of the higher-ups answers, it takes over. P s job is done If a process gets an election msg. from one of its lower-numbered colleagues It responds with OK and Holds an election (unless it is already holding one) After a failed process recovers, it holds an election If there are no active process with higher number, it forces itself as the coordinator_NN6W_NN  6W&*Ring AlgorithmDAssumes links are unidirectional, and processes send their msgs. to their right neighbors Process maintains an active list, with priority numbers of all active processes when the algorithm ends If Pi detects a coordinator failure, creates new active list initially empty. Sends a message elect(i) to right neighbor, and adds the number i to its active list If Pi receives a message elect(j) from the process on the left, it must respond in one of three ways: If first elect message it has seen or sent, creates a new active list with i and j. Sends msg elect(i), followed by the msg elect(j) If i j, Pi adds j to its active list and forwards the message to its right If i = j, Pi receives msg elect(i). Pi s active list contains all active processes in the system. Pi can identify new coordinator U  a @   =  Atomic Transactions Transaction: a collection of instructions that perform a single logical function (money transfer between accounts) Transactions four essential properties  ACID Atomic: to the outside world, the transaction happens indivisibly Consistent: it doesn t violate the system invariants Isolated: Concurrent transactions do not interfere with each other Durable: Once a transaction commits, the changes are permanent Ensuring atomicity in a DS requires a transaction coordinator, responsible for: Starting the execution of the transaction Breaking transaction into subtransactions, and distributing them to appropriate sites for execution Coordinating the termination of the transaction (committed or aborted at all sites)VPP  04Two-Phase Commit Protocol  Failure Handling in 2PC*Site failure Log <commit T> Site executes redo(T) Log <abort T> Site executes undo(T) Log <ready T> consult Ci; if Ci is down, ask the others Log control records on T Site executes undo(T) Coordinator Failure If an active site s log <commit T>, T must be committed If an active site s log <abort T>, then T must be aborted If some active site s log <ready T>, the failed coordinator Ci cannot have decided to commit T. Don t wait for Ci to recover and <abort T> All active sites s log <ready T>, but no additional control records wait for the coordinator to recover Blocking problem  T is blocked pending the recovery of site Ci rA           .      3         3            $  & ? Concurrency ControlTransaction manager Coordinates execution of transactions (local or part of global ones) that access data at local site Responsible for keeping log for recovery and participating in concurrency control scheme Can use two-phase locking protocol by changing how lock manager is implemented Two approaches Non-replicated scheme  each site maintains a local lock manager which administers lock/unlock requests for data items stored in site Simple implementation - 2 msg. for lock and 1 for unlocks requests Deadlock handling is more complex With replication Single-Coordinator Primary Copy Majority Protocol Biased Protocol ^eB^  e  B#Single-Coordinator and Primary CopySingle-Coordinator Approach Single lock manager resides in chosen site, all lock/unlock requests made a that site Simple implementation and simple deadlock handling Possibility of bottleneck and vulnerable to loss of concurrency controller if single site fails Multiple-coordinator approach distributes lock-manager function over several sites (distribute set of data items) Primary Copy One site where replica resides chosen as primary site. Lock requests should be made at primary site. Concurrency control for replicated data handled in a manner similar to that of un-replicated data. Simple implementation, but if primary site fails, the data item is unavailable although other sites may have a replica VZ\Z ZAZ\ A Majority and Biased Protocols^Majority Protocol Modification of non-replicated scheme; transaction to lock item needs approval from majority of replicating sites Decentralized, avoids drawbacks of central control More complicated to implement  2(n/2+1) msg. for lock and (n/2+1) for unlock Deadlock-handling algorithms must be modified; possible for deadlock to occur in locking only one data item Biased protocol Similar to majority protocol, but requests for shared locks prioritized over requests for exclusive locks One approval for shared locks, all for exclusive locks Less overhead on reads than in majority protocol; but has additional overhead on writes Like majority protocol, deadlock handling is complexVZ`ZZ.Z`. 15"Concurrency Control - Timestamping<Timestamp-ordering scheme Every item has a read and write timestamp When process tries to access data item, checks the item s read/write timestamps If timestamps are lower than current transaction, OK Else, another transaction that started later than the current one got there first, abort current transaction Pros and Cons Deadlock free Different than with locking, transactions don t wait  just abort We need a globally unique timestamp Centralized: a site in charge of generating them Distributed: local timestamp * site identifier (order is important) One remaining problem: a site generating TSs faster than others; Solution: use LCs with transactions being msgs.ZzZZZPZ$ZZz P$Deadlock Handling~Possible strategies Ostrich algorithm  ignore them Detection Prevention Avoidance  never used Banker s (and similar) algorithms required knowledge of future needs and have too much overhead<L`L`@Deadlock Detection  CentralizedEach site keeps local wait-for graph. One node per process holding/requesting any local resource Global wait-for graph is maintained in a single coordination process; union of all local wait-for graphs When wait-for graph may be constructed? When new edge is inserted/removed in local wait-for graph Periodically, every x changes to a local wait-for graph When coordinator needs to invoke cycle-detection algorithm Potential unnecessary rollbacks as a result of false cycles Can be solved using global time@\\ Detection AlgorithmtPi (A) requests resource from Pj (B), a request with timestamp TS is sent Edge Pi Pj with label TS is inserted in A wait-for graph Edge Pi Pj with label TS is inserted in local B s wait-for graph only if B cannot immediately grant requested resource Detection The controller sends an initiating msg. to each site in the system Site replies with its local wait-for graph When controller has all replies, it constructs a graph as follows: A vertex for every process in the system An edge Pi Pj iff (1) there is an edge Pi Pj in one of the wait-for graphs, or (2) an edge Pi Pj with some label TS appears in more than one wait-for graph If the constructed graph contains a cycle deadlock Nnn5n  0  4  w2    /  <5 #Fully Distributed Approach<All controllers share equally responsibility for detecting deadlock. Every site constructs a wait-for graph representing part of total graph We add one additional node Pex to each local wait-for graph If local wait-for graph contains cycle Pex, system is deadlocked If cycle Pex, possibility of a deadlock. To ascertain whether a deadlock does exist, a distributed deadlock-detection algorithm must be invokedD$26Deadlock PreventionResource-ordering  define a global ordering among the system resources. Simple to implement and requires little overhead Cumbersome in practice Timestamp based Each process is assigned a unique priority number Priority numbers are used to decide whether a process should wait for another one; otherwise it s just rolled back The scheme prevents deadlocks by avoiding cycles Problem: starvation & NJHJH Wait-Die and Would-Wait SchemesTo avoid starvation, assign timestamps to processes at creation & Wait-Die Scheme Would-Wait Scheme Both avoid starvation if rolled-back process doesn t get a new timestamp  it will eventually have the smallest timestamp B  ` .T3f` T3f3f` 999MMM` lff3f3޲` eoHff33Ҷ` ff!>?" dd@ ?nPd@ d " @ ` n?" dd@   @@``PR   @ ` `$p>>      (    Nff??"?  Nff??"?  Nff??"?  s *D "0@  T Click to edit Master title style! !  c $ "0  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  Nff??"p   Nff??"p   Nff??"p   c $X "Ss  P*&0(2 0  # lh 1?"  Fabin E. Bustamante - Fall 2002J!0(2     # l 1?"  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