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Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Chapter 6: Process Synchronization.

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Presentation on theme: "Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Chapter 6: Process Synchronization."— Presentation transcript:

1 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Chapter 6: Process Synchronization

2 6.2 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Module 6: Process Synchronization  Background  The Critical-Section Problem  Peterson’s Solution  Synchronization Hardware  Semaphores  Classic Problems of Synchronization  Monitors  Synchronization Examples  Atomic Transactions

3 6.3 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Synchronization  Problem: Concurrent access to shared data may result in data inconsistency (because of a race condition)  Solution: Synchronize concurrent procs. Java: synchronize(this){}  Don’t synchronize too much; don’t synchronize too little.

4 6.4 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Producer

5 6.5 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Consumer

6 6.6 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Race Condition  count++ could be implemented as register1 = count register1 = register1 + 1 count = register1  count-- could be implemented as register2 = count register2 = register2 - 1 count = register2  Consider this execution interleaving with “count = 5” initially: S0: producer execute register1 = count {register1 = 5} S1: producer execute register1 = register1 + 1 {register1 = 6} S2: consumer execute register2 = count {register2 = 5} S3: consumer execute register2 = register2 - 1 {register2 = 4} S4: producer execute count = register1 {count = 6 } S5: consumer execute count = register2 {count = 4}

7 6.7 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Fair Solution to Critical-Section Problem 1. Mutual Exclusion - If proc is executing in its critical section, then no other procs accessing the same shared data can be executing in their critical sections. 2.Progress - If no proc is executing in its critical section and some some procs want to enter their critical section, then selecting the proc that will enter the critical section cannot be postponed indefinitely. 3.Bounded Waiting - A bound must exist on the number of times that other procs are allowed to enter their critical sections after a proc has made a request to enter its critical section and before that request is granted. Assume that each process executes at a nonzero speed. No assumption concerning relative speed of the procs.

8 6.8 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Critical-Section Problem 1. Race Condition - When there is concurrent access to shared data and the final outcome depends upon order of execution. 2. Critical Section - Section of code where shared data is accessed. 3. Entry Section - Code that requests permission to enter its critical section. 4. Exit Section - Code that is run after exiting the critical section

9 6.9 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Structure of a Typical Process

10 6.10 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Peterson’s Solution: Two procs, same CPU  Assume LOAD and STORE are atomic.  The procs P0, P1 share 2 variables: // whose turn is it, P0 or P1? int turn; // ready to enter critical section? boolean flag[2];

11 6.11 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Algorithm for Process P 0 and P 1 Pure software solution Involves a busy wait P0P0 P1P1 0 0 0 0 0 1 1 1 1 1

12 6.12 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Critical Section Using Locks

13 6.13 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Synchronization Hardware  Uniprocessors could disable interrupts Code would execute without preemption Too inefficient on multiprocessor systems  Not scalable  Provide atomic hardware instructions  Atomic = non-interruptible Either test memory word and set value Or swap contents of two memory words

14 6.14 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Data Structure for Hardware Solutions

15 6.15 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution using GetAndSet

16 6.16 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution using Swap busy waiting

17 6.17 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Edsgar Dijkstra’s Solution: Semaphore  Semaphore is int S (so-called counting semaphore)  Only two operations modify S: acquire() and release() Dijkstra called them P() and V()  Assumes that acquire() and release() are atomic.  Can be done without busy waiting. busy waiting

18 6.18 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Semaphore as General Synchronization Tool  Counting semaphore – non-negative int  Binary semaphore – only 0 or 1 Also known as mutex or lock

19 6.19 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Example Using Semaphores

20 6.20 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Example Using Semaphores (cont.)

21 6.21 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Semaphore Implementation  Guarantee that no two processes execute acquire () (wait) and release () (signal) on the same semaphore at the same time.  How can we avoid busy wait in acquire()? associate a waiting queue with each semaphore: each entry has two items:  value (of type int)  pointer to next record in the queue  Two operations: block – place the PID invoking the operation on the appropriate waiting queue. wakeup – move PID from waiting queue to ready queue.

22 6.22 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Semaphore Implementation with no Busy waiting (Cont.)  Implementation of acquire():  Implementation of release():

23 6.23 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Deadlock and Starvation  Deadlock – two or more procs wait indefinitely for an event that can be caused by only one of the waiting procs  Let S and Q be two binary semaphores initialized to 1 P 0 P 1 S.acquire(); Q.acquire(); Q.acquire(); S.acquire();. S.release(); Q.release(); Q.release(); S.release();  Starvation – indefinite blocking. A proc may never be removed from the semaphore queue in which it is suspended.

24 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 End of General Background

25 6.25 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Classical Problems of Synchronization  Bounded-Buffer Problem  Readers and Writers Problem  Dining-Philosophers Problem

26 6.26 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded-Buffer Problem  Buffer of N elements  Semaphore mutex initialized to 1  Semaphore full initialized to 0  Semaphore empty initialized to N (counting semaphore).

27 6.27 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded-Buffer Problem

28 6.28 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded-Buffer Problem

29 6.29 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded-Buffer Problem

30 6.30 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded Buffer Problem (Cont.)

31 6.31 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded Buffer Problem (Cont.)

32 6.32 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Bounded Buffer Problem (Cont.)

33 6.33 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Readers-Writers Problem  A data set is shared among a number of concurrent processes Readers – only read; they do not write Writers – can both read and write.  Allow multiple readers to read at same time, but only one writer to write.  Shared Data Data set Semaphore mutex initialized to 1. Semaphore db initialized to 1. int readerCount initialized to 0.

34 6.34 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Readers-Writers Problem

35 6.35 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Readers-Writers Problem

36 6.36 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Readers-Writers Problem

37 6.37 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Readers-Writers Problem see text p. 229

38 6.38 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Dining-Philosophers Problem  Shared data Bowl of rice (data set) 5 Semaphores chopStick [5] initialized to 1

39 6.39 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Dining-Philosophers Problem (Cont.)  The structure of Philosopher i:

40 6.40 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Problems with Semaphores  Correct use of semaphore operations: mutex.acquire() …. mutex.release() mutex.wait() … mutex.wait() Omitting of mutex.wait () or mutex.release() (or both)

41 6.41 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Monitors  A high-level abstraction that provides a convenient and effective mechanism for process synchronization  Only one process may be active within the monitor at a time

42 6.42 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Syntax of a Monitor

43 6.43 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Schematic view of a Monitor

44 6.44 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Condition Variables  Condition x, y;  Two operations on a condition variable: x.wait () – a process that invokes the operation is suspended. x.signal () – resumes one of processes (if any) that invoked x.wait ()

45 6.45 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Monitor with Condition Variables

46 6.46 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution to Dining Philosophers

47 6.47 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution to Dining Philosophers (cont)  Each philosopher I invokes the operations takeForks(i) and returnForks(i) in the following sequence: dp.takeForks (i) EAT dp.returnForks (i)

48 6.48 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization  Java provides synchronization at the language-level.  Each Java object (not class, unless class is static) has an associated lock.  This lock is acquired by invoking a synchronized method.  This lock is released when exiting the synchronized method.  Threads waiting to acquire the object lock are placed in the entry set (i.e. wait queue) for the object lock.

49 6.49 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization Each object has an associated entry set.

50 6.50 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization: Bounded Buffer

51 6.51 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization wait/notify()  When a thread invokes wait(): 1. The thread releases the object lock; 2. The state of the thread is set to Blocked; 3. The thread is placed in the wait set for the object.  When a thread invokes notify(): 1. An arbitrary thread T from the wait set is selected; 2. T is moved from the wait to the entry set; 3. The state of T is set to Runnable.

52 6.52 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization Entry and wait sets

53 6.53 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization: Bounded Buffer

54 6.54 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization: Bounded Buffer

55 6.55 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization  The call to notify() selects an aribitrary thread from the wait set. It is possible the selected thread is in fact not waiting upon the condition for which it was notified!  The call notifyAll() selects all threads in the wait set and moves them to the entry set.  In general, notifyAll() is a more conservative strategy than notify().

56 6.56 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization: Readers-Writers

57 6.57 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization: Readers-Writers

58 6.58 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization - Readers-Writers

59 6.59 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization Rather than synchronizing an entire method, blocks of code may be declared as synchronized

60 6.60 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Java Synchronization Block synchronization using wait()/notify()

61 6.61 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Concurrency Features in Java 5 Semaphores

62 6.62 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Concurrency Features in Java 5 A condition variable is created by first creating a ReentrantLock and invoking its newCondition() method: Once this is done, it is possible to invoke the await() and signal() methods.

63 6.63 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Synchronization Examples  Solaris  Windows XP  Linux  Pthreads

64 6.64 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solaris Synchronization  Implements a variety of locks to support multitasking, multithreading (including real-time threads), and multiprocessing  Uses adaptive mutexes for efficiency when protecting data from short code segments  Uses condition variables and readers-writers locks when longer sections of code need access to data  Uses turnstiles to order the list of threads waiting to acquire either an adaptive mutex or reader-writer lock

65 6.65 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Windows XP Synchronization  Uses interrupt masks to protect access to global resources on uniprocessor systems  Uses spinlocks on multiprocessor systems  Also provides dispatcher objects which may act as either mutexes and semaphores  Dispatcher objects may also provide events An event acts much like a condition variable

66 6.66 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Linux Synchronization  Linux: disables interrupts to implement short critical sections  Linux provides: semaphores spin locks

67 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Exam 2 up to here

68 6.68 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Pthreads Synchronization  Pthreads API is OS-independent  It provides: mutex locks condition variables  Non-portable extensions include: read-write locks spin locks

69 6.69 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Atomic Transactions  System Model  Log-based Recovery  Checkpoints  Concurrent Atomic Transactions

70 6.70 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 System Model  Assures that operations happen as a single logical unit of work, in its entirety, or not at all  Related to field of database systems  Challenge is assuring atomicity despite computer system failures  Transaction - collection of instructions or operations that performs single logical function Here we are concerned with changes to stable storage – disk Transaction is series of read and write operations Terminated by commit (transaction successful) or abort (transaction failed) operation Aborted transaction must be rolled back to undo any changes it performed

71 6.71 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Types of Storage Media  Volatile storage – information stored here does not survive system crashes Example: main memory, cache  Nonvolatile storage – Information usually survives crashes Example: disk and tape  Stable storage – Information never lost Not actually possible, so approximated via replication or RAID to devices with independent failure modes Goal is to assure transaction atomicity where failures cause loss of information on volatile storage

72 6.72 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Log-Based Recovery  Record to stable storage information about all modifications by a transaction  Most common is write-ahead logging Log on stable storage, each log record describes single transaction write operation, including  Transaction name  Data item name  Old value  New value written to log when transaction T i starts written when T i commits  Log entry must reach stable storage before operation on data occurs

73 6.73 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Log-Based Recovery Algorithm  Using the log, system can handle any volatile memory errors Undo(T i ) restores value of all data updated by T i Redo(T i ) sets values of all data in transaction T i to new values  Undo(T i ) and redo(T i ) must be idempotent Multiple executions must have the same result as one execution  If system fails, restore state of all updated data via log If log contains without, undo(T i ) If log contains and, redo(T i )

74 6.74 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Checkpoints  Log could become long, and recovery could take long  Checkpoints shorten log and recovery time.  Checkpoint scheme: 1. Output all log records currently in volatile storage to stable storage 2. Output all modified data from volatile to stable storage 3. Output a log record to the log on stable storage  Now recovery only includes Ti, such that Ti started executing before the most recent checkpoint, and all transactions after Ti All other transactions already on stable storage

75 6.75 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Concurrent Transactions  Must be equivalent to serial execution – serializability  Could perform all transactions in critical section Inefficient, too restrictive  Concurrency-control algorithms provide serializability

76 6.76 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Serializability  Consider two data items A and B  Consider Transactions T 0 and T 1  Execute T 0, T 1 atomically  Execution sequence called schedule  Atomically executed transaction order called serial schedule  For N transactions, there are N! valid serial schedules

77 6.77 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Schedule 1: Serial— T 0 then T 1

78 6.78 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Nonserial Schedule  Nonserial schedule allows overlapped execute Resulting execution not necessarily incorrect  Consider schedule S, operations O i, O j Conflict if access same data item, with at least one write  If O i, O j consecutive and operations of different transactions & O i and O j don’t conflict Then S’ with swapped order O j O i equivalent to S  If S can become S’ via swapping nonconflicting operations S is conflict serializable

79 6.79 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Schedule 2: Not Serial but Serializable

80 6.80 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution 1: Locking  Ensure serializability by associating lock with each data item Follow locking protocol for access control  Locks Shared – T i has shared-mode lock (S) on item Q, T i can read Q but not write Q Exclusive – Ti has exclusive-mode lock (X) on Q, T i can read and write Q  Require every transaction on item Q acquire appropriate lock  If lock already held, new request may have to wait Similar to readers-writers algorithm

81 6.81 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Two-phase Locking Protocol  Generally ensures conflict serializability  Each transaction issues lock and unlock requests in two phases Growing – obtaining locks Shrinking – releasing locks  Does not prevent deadlock

82 6.82 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Solution 2: Timestamps  Select order among transactions in advance – timestamp-ordering  Transaction T i associated with timestamp TS(T i ) before T i starts TS(T i ) < TS(T j ) if Ti entered system before T j TS can be generated from system clock or as logical counter incremented at each entry of transaction  Timestamps determine serializability order If TS(T i ) < TS(T j ), system must ensure produced schedule equivalent to serial schedule where T i appears before T j

83 6.83 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Timestamp-based Protocol Implementation  Data item Q gets two timestamps W-timestamp(Q) – largest timestamp of any transaction that executed write(Q) successfully R-timestamp(Q) – largest timestamp of successful read(Q) Updated whenever read(Q) or write(Q) executed  Timestamp-ordering protocol assures any conflicting read and write executed in timestamp order  Suppose Ti executes read(Q) If TS(T i ) < W-timestamp(Q), Ti needs to read value of Q that was already overwritten  read operation rejected and T i rolled back If TS(T i ) ≥ W-timestamp(Q)  read executed, R-timestamp(Q) set to max(R- timestamp(Q), TS(T i ))

84 6.84 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Timestamp-ordering Protocol  Suppose Ti executes write(Q) If TS(T i ) < R-timestamp(Q), value Q produced by T i was needed previously and T i assumed it would never be produced  Write operation rejected, T i rolled back If TS(T i ) < W-tiimestamp(Q), T i attempting to write obsolete value of Q  Write operation rejected and T i rolled back Otherwise, write executed  Any rolled back transaction T i is assigned new timestamp and restarted  Algorithm ensures conflict serializability and freedom from deadlock

85 6.85 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 Schedule Possible Under Timestamp Protocol OK Not OK

86 Silberschatz, Galvin and Gagne ©2007 Operating System Concepts with Java – 7 th Edition, Nov 15, 2006 End of Chapter 6


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