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Chapter 7 Concurrency Process Synchronization

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Page 1: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Chapter 7

Concurrency Process Synchronization

Page 2: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

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Process Synchronization

• Background• The Critical-Section Problem• Synchronization Hardware• Semaphores• Classical Problems of Synchronization• Critical Regions• Monitors

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Review of Chapter #4

Cooperating Processes• Concurrent processes executing in the Os may be;

– Independent process cannot affect or be affected by the execution of another process.

– Cooperating process can affect or be affected by the execution of another process.

• Advantages of process cooperation– Information sharing – Computation speed-up– Modularity– Convenience

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Background

Producer-Consumer Problem

• A producer process produces information that is consumed by a consumer process.

– A print program print characters that are consumed by the printer driver.

– A compiler may produce assembly code, which is consumed by an assembler.

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Background

Producer-Consumer Problem

• Buffer of items that can be filled by producer and emptied by consumer.

• Producer and consumer must be synchronized.

• Consumer does not try to consume an item that has not yet been produced.

• Consumer must wait until an item is produced.

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Producer

while (true) {

/* produce an item and put in next

Produced */ while (count == BUFFER_SIZE)

; // do nothing buffer [in] = next Produced; in = (in + 1) % BUFFER_SIZE; count++;

}

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Consumer

while (true) { while (count == 0)

; // do nothing nextConsumed = buffer[out]; out = (out + 1) % BUFFER_SIZE;

count--;

/* consume the item in nextConsumed}

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Background

Producer-Consumer Problem

• Unbounded-buffer - places no practical limit on the size of the buffer.– Consumer may have to wait for new items, but

the producer can always produce new items.

• Bounded-buffer - assumes that there is a fixed buffer size.– Consumer must wait if the buffer is empty and the

producer must wait if the buffer is full.

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Bounded-Buffer

• Two logical pointers: in and out.• Variable in points to the next free position in the

buffer. • Variable out points to the first full position in

the buffer.

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Background

• Concurrent access to shared data may result in data inconsistency.

• Maintaining data consistency requires mechanisms to ensure the orderly execution of cooperating processes.

• Suppose that we wanted to provide a solution to the consumer-producer problem that fills all the buffers. We can do so by having an integer counter that keeps track of the number of full buffers. Initially, counter is set to 0. It is incremented by the producer after it produces a new buffer and is decremented by the consumer after it consumes a buffer.

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Producer and Consumer process

public void enter( Object item ) { while ( count == BUFFER_SIZE ) ; // buffer is full! Wait till buffer is consumed ++count; buffer[in] = item; // add an item in = ( in + 1 ) % BUFFER_SIZE;}

public object remove( ) { Object item; while ( count == 0 ) ; // buffer is empty! Wait till buffer is filled -- count; item = buffer[out]; // pick up an item out = ( out + 1 ) % BUFFER_SIZE;}

Buffer[0] [1] [2] [3] [4]

inout

Producer Process

for(int i = 0; ; i++ ) { BoundedBuffer.enter(new Integer(i));}

Consumer Process

for(int i = 0; ; i++ ) { BoundedBuffer.remove();}

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Bounded-Buffer

• The statements

counter++;counter - -;may not function correctly when executed concurrently.

• Suppose counter == 5, and producer and consumer processes execute the statements “counter++” and “counter - -” concurrently.

• Value of the counter may be 4, 5, or 6 but correct result is 5 if both execute separately.

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• The statement “counter++” may be implemented in machine language as:

register1 = counterregister1 = register1 + 1counter = register1

• The statement “counter - -” may be implemented as:

register2 = counterregister2 = register2 – 1counter = register2

Bounded-Buffer

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• Assume counter is initially 5. One interleaving of statements is:

T0: producer: register1 = counter (register1 = 5)T1: producer: register1 = register1 + 1 (register1 = 6)T2: consumer: register2 = counter (register2 = 5)T3: consumer: register2 = register2 – 1 (register2 = 4)T4: producer: counter = register1 (counter = 6)T5: consumer: counter = register2 (counter = 4)

• We have arrived at the incorrect state “counter = 4” recording that there are 4 full buffers, in fact there are 5 full buffers. If we reversed the order at T4 and T5, we would arrive at the incorrect state “counter = 6”.

Bounded-Buffer

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Race Condition

• Race condition: The situation where several processes access – and manipulate shared data concurrently. The final value of the shared data depends upon which process finishes last.

• To prevent race conditions, concurrent processes must be synchronized.

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The Critical-Section Problem

• n processes {P0, P1,.....,Pn-1} all competing to use some shared data

• Each process has a code segment, called critical section, in which the shared data is accessed.

• Problem – ensure that when one process is executing in its critical section, no other process is allowed to execute in its critical section.

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The Critical-Section Problem

• Critical-section problem is to design a protocol that the processes can use to cooperate.

• Each process must request permission to enter its critical section.

– Section of code implementing this request is the entry section.

– Critical section may be followed by an exit section.

– Remaining code is the remainder section.

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Solution to Critical-Section Problem

1. Mutual Exclusion. If process Pi is executing in its critical section, then no other processes can be executing in their critical sections.

2. Progress. If no process is executing in its CS and there exist some processes that wish to enter their CS, then the selection of the processes that will enter the CS next cannot be postponed indefinitely.

3. Bounded Waiting. A bound must exist on the number of times that other processes are allowed to enter their CS after a process has made a request to enter its CS and before that request is granted.

Critical Section

1. only one process

When exiting from CS

2. Pick up a process to enter

3. Delta time exists

When coming and entering CS

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• General structure of process Pi (other process Pj)

do {entry section

critical sectionexit section

reminder section} while (1);

• Two Process Solutions.– Processes are numbered P0 and P1.

– When presenting Pi use Pj to denote the other process.

Initial Attempts to Solve Problem

Guards forGuards forCritical sectionCritical section Access to Shared VariableAccess to Shared Variable

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Peterson’s Solution

• Two process solution• Assume that the LOAD and STORE instructions

are atomic; that is, cannot be interrupted.• The two processes share two variables:

– int turn; – Boolean flag[2]

• The variable turn indicates whose turn it is to enter the critical section.

• The flag array is used to indicate if a process is ready to enter the critical section. flag[i] = true implies that process Pi is ready!

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Algorithm 1

– int turn ; initially turn = 0.

– if turn == i, Pi can enter its critical section.

– if turn == 0, and P1 is ready to execute, P1 cannot do so, even though P0 may be in its remainder section.

• Process Pi

do {while (turn != i) ;

critical sectionturn = j;

reminder section} while (1);

• Satisfies mutual exclusion, but not progress.

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Algorithm 2

– boolean flag[2];initially flag [0] = flag [1] = false.

– if flag [i] = true Pi ready to enter its critical section

• Process Pi

do {flag[i] := true;while (flag[j]) ;

critical sectionflag [i] = false;

remainder section} while (1);

• Satisfies mutual exclusion, but not progress requirement.

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Algorithm 3

• Combining the key ideas of algorithms 1 and 2.

• Processes share two variables:boolean flag[2];int turn;

– initially flag [0] = flag [1] = false.– value of turn is either 0 or 1.

• If flag [i] = true and turn = j Pi enter the critical section.

• if both processes try to enter at the same time, turn will be set to both i and j at roughly the same time.

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Algorithm 3

• Value of turn decides which of the two processes is allowed to enter its critical section.

• Process Pi

do {flag [i]:= true;turn = j;while (flag [j] && turn = j) ;

critical sectionflag [i] = false;

remainder section} while (1);

• Meets all three requirements; solves the critical-section problem for two processes.

Page 25: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Synchronization Hardware

• Many systems provide hardware support for critical section code

• Uniprocessors – could disable interrupts– Currently running code would execute without

preemption– Generally too inefficient on multiprocessor

systems• Operating systems using this not broadly

scalable• Modern machines provide special atomic hardware

instructions• Atomic = non-interrupt able

– Either test memory word and set value– Or swap contents of two memory words

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Solution to Critical-section Problem Using Locks

do { acquire lock

critical section release lock

remainder section } while (TRUE);

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Test-And-Set Instruction

• Test and modify the content of a word atomically.

boolean TestAndSet (boolean &target) {

boolean rv = target;target = true;

return rv;}

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Solution using TestAndSet• Shared data:

Boolean lock = false; • Solution:

– Process Pi

do { while ( TestAndSet (&lock )) ; // do nothing

// critical section

lock = FALSE;

// remainder section

} while (TRUE);

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Swap Instruction

• Atomically swap two variables.

void Swap (boolean &a, boolean &b) {

boolean temp = a;a = b;b = temp;

}

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Solution using Swap

• Shared data (initialized to false): boolean lock;

boolean waiting [n];

• Solution– Process Pi

do {key = true;while (key == true)

Swap (lock,key);critical section

lock = false;remainder section

} while (TRUE);

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Semaphores• Synchronization tool that does not require busy waiting.• Semaphore S – integer variable• Two standard operations modify S: wait() and signal()

– Originally called P() and V()• Less complicated• can only be accessed via two indivisible (atomic) operations

wait (S) {

while S <= 0 ; // no-op

S--; }

signal (S) {

S++; }

Page 32: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Semaphore as General Synchronization Tool

• Counting semaphore – integer value can range over an unrestricted domain

• Binary semaphore – integer value can range only between 0 and 1; can be simpler to implement– Also known as mutex locks

• Can implement a counting semaphore S as a binary semaphore

• Provides mutual exclusionSemaphore mutex; // initialized to 1do {

wait (mutex); // Critical Section signal (mutex);

// remainder section} while (TRUE);

Page 33: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Semaphore Implementation

• Must guarantee that no two processes can execute wait () and signal () on the same semaphore at the same time

• Thus, implementation becomes the critical section problem where the wait and signal code are placed in the critical section.– Could now have busy waiting in critical section

implementation• But implementation code is short• Little busy waiting if critical section rarely

occupied• Note that applications may spend lots of time in

critical sections and therefore this is not a good solution.

Page 34: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Semaphore Implementation withno Busy waiting

• With each semaphore there is an associated waiting queue. Each entry in a waiting queue has two data items:– value (of type integer)– pointer to next record in the list

• Two operations:– block – place the process invoking the

operation on the appropriate waiting queue.– wakeup – remove one of processes in the

waiting queue and place it in the ready queue.

Page 35: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Semaphore Implementation with no Busy waiting (Cont.)

• Implementation of wait: wait(semaphore *S) {

S->value--; if (S->value < 0) {

add this process to S->list; block();

} }

• Implementation of signal:

signal(semaphore *S) { S->value++; if (S->value <= 0) {

remove a process P from S->list; wakeup(P);

}}

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Deadlock and Starvation

Deadlock – two or more processes are waiting indefinitely for an event that can be caused by only one of the waiting processes

• Let S and Q be two semaphores initialized to 1 P0 P1

wait (S); wait (Q); wait (Q); wait (S);

. .

. .

. . signal (S); signal (Q); signal (Q); signal (S);

• Starvation – indefinite blocking. A process may never be removed from the semaphore queue in which it is suspended

• Priority Inversion - Scheduling problem when lower-priority process holds a lock needed by higher-priority process

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Classical Problems of Synchronization

• Bounded-Buffer Problem

• Readers and Writers Problem

• Dining-Philosophers Problem

Page 38: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Questions :

What if producer is faster than consumer ?

What if buffer overflows ?

What if buffer is empty ?

What if consumer is faster than producer ?

Answers :

Producer waits for the buffer to be empty.

Consumer waits for the buffer to be full.

The Bounded-Buffer Problem

38

Page 39: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

What’s the problem ?

RACE Condition.

Solution To The Problem

We will make use of the Semaphores to solve this problem.

N buffers, each can hold one item. ( in our case N = 5)

Semaphore mutex initialized to the value 1.

Semaphore full initialized to the value 0.

Semaphore empty initialized to the value N.

nextp & nextc are the local variables of producer and the

consumer respectively.

The Bounded-Buffer Problem

39

Page 40: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Solution To The Problem (Cont….)

Producer waits for the buffer to be empty.

Producer waits for the access to the buffer (mutual exclusion)

Producer signals after access to the buffer (mutual exclusion)

Producer signals that the buffer is full. Consumer waits for the buffer to be full.

Consumer waits for the access to the buffer (mutual exclusion)

Consumer signals after access to the buffer (mutual exclusion)

Consumer signals that the buffer is empty.

The Bounded-Buffer Problem

40

Page 41: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

do { …

produce an item in nextp …

wait(empty); wait(mutex);

… add nextp to buffer … signal(mutex); signal(full);

} while (1);

Structure of Producer Process

Structure of Consumer Process

do { wait(full) wait(mutex); … remove an item from buffer to nextc … signal(mutex); signal(empty); … consume the item in nextc … } while (1);

The Bounded-Buffer Problem

41

Page 42: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

The Readers And Writers Problem

A data object is to be shared among several concurrent processes.

By data object we mean a file or a record.

Readers, only read the data set but cannot perform any updates.

Writers, can perform both read and write.

Reader(s)

Writer Reader and

Writer

42

Page 43: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

The Readers And Writers Problem

Questions :

What if readers are reading data from a file ?

What if writer is writing data to a file ?

Answers :

Readers wait until no writer is accessing the file.

Writer waits for a sole access.

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Page 44: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

What’s the problem ?

The Readers And Writers Problem

If a writer and some other process (either reader or a writer) access the shared object simultaneously, a confusion may result.

Solution To The Problem

Let P1 and P2 read data from a file and P3 writes data to the file.

If a process read data another process can read data If a process writes data another process can not read

or write data.

44

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The Readers And Writers Problem

Shared Data

semaphore mutex, wrt;

Integer readcount;

Initially,mutex = 1, wrt = 1, readcount = 0

45

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Structure of Writer Process

The Readers And Writers Problem

do { wait (wrt) ; // writing is performed

signal (wrt) ; } while (TRUE);

Structure of Reader Process

Do {

wait(mutex);

readcount := readcount + 1;

if readcount =1 then wait(wrt);

signal(mutex);

….

reading is performed

….

wait(mutex);

readcount:= readcount – 1;

if readcount = 0 then signal(wrt);

signal(mutex);} while (TRUE);

46

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Dining-Philosophers Problem

• Shared data semaphore chopstick[5];

Initially all values are 1

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Dining-Philosophers Problem

• Philosopher i:do {

wait(chopstick[i])wait(chopstick[(i+1) % 5])

…eat …

signal(chopstick[i]);signal(chopstick[(i+1) % 5]);

…think …

} while (1);

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Dining-Philosophers Problem

D

E

A

D

L

O

C

K

0

4

3

2 1

49

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The Dining – Philosophers Problem

Solution To The Deadlock Problem

Allow at most four philosophers to be sitting simultaneously at the table.

Allow a philosophers to pickup his chopsticks only if both chopsticks are available.

Use an asymmetric solution, that is an odd philosopher picks up first his left chopstick and then his right chopstick. Whereas, an even philosopher picks up first his right chopstick and then his left chopstick. 50

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The Dining – Philosophers Problem

1

5

4

3 2

51

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The Dining – Philosophers Problemdo{

if even(i) then{

wait(chopstick[(i+1) % 5]);

wait(chopstick[i]);

}

if odd(i) then{

wait(chopstick[i]);

wait(chopstick[(i+1) % 5]);

}

…..

eat

….

signal(chopstick[i]);

signal(chopstick[(i+1) % 5]);

….

think

….

}while(1);

52

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Problems with Semaphores

• Incorrect use of semaphore operations:

– signal (mutex) …. wait (mutex)

– wait (mutex) … wait (mutex)

– Omitting of wait (mutex) or signal (mutex) (or both)

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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

monitor monitor-name{

// shared variable declarationsprocedure P1 (…) { …. }

procedure Pn (…) {……}

Initialization code ( ….) { … }…

}}

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Schematic view of a Monitor

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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 ()

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Monitor with Condition Variables

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Solution to Dining Philosophers

monitor DP {

enum { THINKING; HUNGRY, EATING) state [5] ;condition self [5];

void pickup (int i) { state[i] = HUNGRY; test(i); if (state[i] != EATING) self [i].wait;}

void putdown (int i) { state[i] = THINKING;

// test left and right neighbors test((i + 4) % 5); test((i + 1) % 5);

}

Page 59: Chapter 7 Concurrency Process Synchronization. 2 Process Synchronization Background The Critical-Section Problem Synchronization Hardware Semaphores Classical

Solution to Dining Philosophers (cont)

void test (int i) { if ( (state[(i + 4) % 5] != EATING) && (state[i] == HUNGRY) && (state[(i + 1) % 5] != EATING) ) { state[i] = EATING ;

self[i].signal () ; } }

initialization_code() { for (int i = 0; i < 5; i++) state[i] = THINKING;}

}

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Solution to Dining Philosophers (cont)

• Each philosopher I invokes the operations pickup() and putdown() in the following sequence:

DiningPhilosophters.pickup (i);

EAT

DiningPhilosophers.putdown (i);

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Monitor Implementation Using Semaphores

• Variables semaphore mutex; // (initially = 1)semaphore next; // (initially = 0)int next-count = 0;

• Each procedure F will be replaced by

wait(mutex); …

body of F;

…if (next_count > 0)

signal(next)else

signal(mutex);

• Mutual exclusion within a monitor is ensured.

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Monitor Implementation

• For each condition variable x, we have:

semaphore x_sem; // (initially = 0)int x-count = 0;

• The operation x.wait can be implemented as:

x-count++;if (next_count > 0)

signal(next);else

signal(mutex);wait(x_sem);x-count--;

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Monitor Implementation

• The operation x.signal can be implemented as:

if (x-count > 0) {next_count++;signal(x_sem);wait(next);next_count--;

}

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A Monitor to Allocate Single Resource

monitor ResourceAllocator {

boolean busy; condition x; void acquire(int time) {

if (busy) x.wait(time);

busy = TRUE; } void release() {

busy = FALSE; x.signal();

} initialization code() {

busy = FALSE; }

}

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Synchronization Examples

• Solaris• Windows XP• Linux• Pthreads

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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

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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

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Linux Synchronization

• Linux:– Prior to kernel Version 2.6, disables

interrupts to implement short critical sections

– Version 2.6 and later, fully preemptive

• Linux provides:– semaphores– spin locks

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Pthreads Synchronization

• Pthreads API is OS-independent• It provides:

– mutex locks– condition variables

• Non-portable extensions include:– read-write locks– spin locks

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Atomic Transactions

• System Model• Log-based Recovery• Checkpoints• Concurrent Atomic Transactions

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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

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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

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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

– <Ti starts> written to log when transaction Ti starts

– <Ti commits> written when Ti commits

• Log entry must reach stable storage before operation on data occurs

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Log-Based Recovery Algorithm

• Using the log, system can handle any volatile memory errors

– Undo(Ti) restores value of all data updated by Ti

– Redo(Ti) sets values of all data in transaction Ti to new values

• Undo(Ti) and redo(Ti) 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 <Ti starts> without <Ti commits>, undo(Ti)

– If log contains <Ti starts> and <Ti commits>, redo(Ti)

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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 <checkpoint> 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

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Concurrent Transactions

• Must be equivalent to serial execution – serializability

• Could perform all transactions in critical section– Inefficient, too restrictive

• Concurrency-control algorithms provide serializability

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Serializability

• Consider two data items A and B

• Consider Transactions T0 and T1

• Execute T0, T1 atomically

• Execution sequence called schedule• Atomically executed transaction order

called serial schedule• For N transactions, there are N! valid serial

schedules

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Schedule 1: T0 then T1

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Nonserial Schedule

• Nonserial schedule allows overlapped execute– Resulting execution not necessarily incorrect

• Consider schedule S, operations Oi, Oj

– Conflict if access same data item, with at least one write

• If Oi, Oj consecutive and operations of different transactions & Oi and Oj don’t conflict

– Then S’ with swapped order Oj Oi equivalent to S

• If S can become S’ via swapping nonconflicting operations– S is conflict serializable

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Schedule 2: Concurrent Serializable Schedule

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Locking Protocol

• Ensure serializability by associating lock with each data item– Follow locking protocol for access control

• Locks

– Shared – Ti has shared-mode lock (S) on item Q, Ti can read Q but not write Q

– Exclusive – Ti has exclusive-mode lock (X) on Q, Ti 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

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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

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Timestamp-based Protocols

• Select order among transactions in advance – timestamp-ordering

• Transaction Ti associated with timestamp TS(Ti) before Ti starts

– TS(Ti) < TS(Tj) if Ti entered system before Tj

– TS can be generated from system clock or as logical counter incremented at each entry of transaction

• Timestamps determine serializability order

– If TS(Ti) < TS(Tj), system must ensure produced schedule equivalent to serial schedule where Ti appears before Tj

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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(Ti) < W-timestamp(Q), Ti needs to read value of Q

that was already overwritten• read operation rejected and Ti rolled back

– If TS(Ti) ≥ W-timestamp(Q)• read executed, R-timestamp(Q) set to max(R-

timestamp(Q), TS(Ti))

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Timestamp-ordering Protocol

• Suppose Ti executes write(Q)

– If TS(Ti) < R-timestamp(Q), value Q produced by Ti was needed previously and Ti assumed it would never be produced

• Write operation rejected, Ti rolled back

– If TS(Ti) < W-tiimestamp(Q), Ti attempting to write obsolete value of Q

• Write operation rejected and Ti rolled back

– Otherwise, write executed

• Any rolled back transaction Ti is assigned new timestamp and restarted

• Algorithm ensures conflict serializability and freedom from deadlock

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Schedule Possible Under Timestamp Protocol