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Chapter 5: CPU Scheduling. Chapter 5: CPU Scheduling. Basic Concepts Scheduling Criteria Scheduling Algorithms Multiple-Processor Scheduling Real-Time Scheduling Thread Scheduling Operating Systems Examples Java Thread Scheduling Algorithm Evaluation. Levels of Scheduling. Running. - PowerPoint PPT Presentation
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Chapter 5: CPU SchedulingChapter 5: CPU Scheduling
5.2 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Chapter 5: CPU SchedulingChapter 5: CPU Scheduling
Basic Concepts
Scheduling Criteria
Scheduling Algorithms
Multiple-Processor Scheduling
Real-Time Scheduling
Thread Scheduling
Operating Systems Examples
Java Thread Scheduling
Algorithm Evaluation
5.3 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Levels of SchedulingLevels of Scheduling
Running
Ready
Blocked
Blocked,Suspend
Ready,Suspend
New Exit
Short Term
Medium Term
Long Term
5.4 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Basic ConceptsBasic Concepts
Maximum CPU utilization obtained with multiprogramming
CPU–I/O Burst Cycle – Process execution consists of a cycle of CPU execution and I/O wait
CPU burst distribution
5.5 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Alternating Sequence of CPU And I/O BurstsAlternating Sequence of CPU And I/O Bursts
5.6 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Histogram of CPU-burst TimesHistogram of CPU-burst Times
5.7 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
CPU SchedulerCPU Scheduler
Selects from among the processes in memory that are ready to execute, and allocates the CPU to one of them
CPU scheduling decisions may take place when a process:
1. Switches from running to waiting state
2. Switches from running to ready state
3. Switches from waiting to ready
4. Terminates
Scheduling under 1 and 4 is nonpreemptive
All other scheduling is preemptive
5.8 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
DispatcherDispatcher
Dispatcher module gives control of the CPU to the process selected by the short-term scheduler; this involves:
switching context
switching to user mode
jumping to the proper location in the user program to restart that program
Dispatch latency – time it takes for the dispatcher to stop one process and start another running
5.9 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Scheduling CriteriaScheduling Criteria
CPU utilization – keep the CPU as busy as possible
Throughput – # of processes that complete their execution per time unit
Turnaround time – amount of time to execute a particular process
Waiting time – amount of time a process has been waiting in the ready queue
Response time – amount of time it takes from when a request was submitted until the first response is produced, not output (for time-sharing environment)
5.10 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Optimization CriteriaOptimization Criteria
Max CPU utilization
Max throughput
Min turnaround time
Min waiting time
Min response time
5.11 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
스케줄링의 기준스케줄링의 기준
고려사항 프로세스의 I/O 위주성 프로세스의 CPU 위주성 뱃치 또는 대화형 실시간성 우선순위 페이지 폴트 빈도 프리엠트된 빈도수 현재까지의 수행시간 완료시까지 추가 수행시간
5.12 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
스케줄링의 목적스케줄링의 목적
공평할 것 시스템 처리량 최대 적정 응답시간을 받는 이용자수를 극대화 예측 가능할 것 오버헤드를 최소화 균형적 자원 사용 응답성과 이용성의 균형 유지 무한 연기 회피 우선순위를 사용할 것 주요 자원 보유 프로세스에 우선권 부여 거동이 바람직한 프로세스에 좋은 서비스 제공 고도부하시 성능이 점진적으로 저하될 것
5.13 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
우선순위 우선순위 ((priority)priority)
우선순위 대기 리스트 ( 대기 큐 ) 에서 다음 수행될 Process 를
선택할 때 사용 정적 대 동적 우선순위
정적우선순위 : 우선순위가 한번 부여되면 해당 Process 가 종료될 때까지 불변 장점 : 간단 단점 : 상황변동에 대처 불가
동적우선순위 : 상황 변동에 따라 우선순위값 조정 단점 : Overhead
구입한 우선순위 높은 우선순위를 구입가능
5.14 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
First-Come, First-Served (FCFS) SchedulingFirst-Come, First-Served (FCFS) Scheduling
Process Burst Time
P1 24
P2 3
P3 3
Suppose that the processes arrive in the order: P1 , P2 , P3
The Gantt Chart for the schedule is:
Waiting time for P1 = 0; P2 = 24; P3 = 27 Average waiting time: (0 + 24 + 27)/3 = 17
P1 P2 P3
24 27 300
5.15 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
FCFS Scheduling (Cont.)FCFS Scheduling (Cont.)
Suppose that the processes arrive in the order
P2 , P3 , P1
The Gantt chart for the schedule is:
Waiting time for P1 = 6; P2 = 0; P3 = 3
Average waiting time: (6 + 0 + 3)/3 = 3
Much better than previous case
Convoy effect short process behind long process
P1P3P2
63 300
5.16 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Shortest-Job-First (SJR) SchedulingShortest-Job-First (SJR) Scheduling
Associate with each process the length of its next CPU burst. Use these lengths to schedule the process with the shortest time
Two schemes:
nonpreemptive – once CPU given to the process it cannot be preempted until completes its CPU burst
preemptive – if a new process arrives with CPU burst length less than remaining time of current executing process, preempt. This scheme is know as the Shortest-Remaining-Time-First (SRTF)
SJF is optimal – gives minimum average waiting time for a given set of processes
5.17 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Process Arrival Time Burst Time
P1 0.0 7
P2 2.0 4
P3 4.0 1
P4 5.0 4
SJF (non-preemptive)
Average waiting time = (0 + 6 + 3 + 7)/4 = 4
Example of Non-Preemptive SJFExample of Non-Preemptive SJF
P1 P3 P2
73 160
P4
8 12
5.18 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Example of Preemptive SJFExample of Preemptive SJF
Process Arrival Time Burst Time
P1 0.0 7
P2 2.0 4
P3 4.0 1
P4 5.0 4
SJF (preemptive)
Average waiting time = (9 + 1 + 0 +2)/4 = 3
P1 P3P2
42 110
P4
5 7
P2 P1
16
5.19 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Determining Length of Next CPU BurstDetermining Length of Next CPU Burst
Can only estimate the length
Can be done by using the length of previous CPU bursts, using exponential averaging
:Define 4.
10 , 3.
burst CPU next the for value predicted 2.
burst CPU of lenght actual 1.
1
n
th
n nt
.1 1 nnn t
5.20 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Prediction of the Length of the Next CPU BurstPrediction of the Length of the Next CPU Burst
5.21 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Examples of Exponential AveragingExamples of Exponential Averaging
=0 n+1 = n
Recent history does not count =1
n+1 = tn
Only the actual last CPU burst counts If we expand the formula, we get:
n+1 = tn+(1 - ) tn -1 + …
+(1 - )j tn -j + …
+(1 - )n +1 0
Since both and (1 - ) are less than or equal to 1, each successive term has less weight than its predecessor
5.22 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
SJF(Shortest-Job-First) SJF(Shortest-Job-First) 스케줄링스케줄링((nonpreemptive nonpreemptive 기법기법 ))
Job 의 실행시간이 가장 짧은 작업을 선택 장점 : 평균 대기시간이 짧다 단점 :
시분할 구현이 불가능 Starvation 의 가능성 Job 의 실행시간 예측이 거의 불가능
5.23 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Priority SchedulingPriority Scheduling
A priority number (integer) is associated with each process
The CPU is allocated to the process with the highest priority (smallest integer highest priority)
Preemptive
nonpreemptive
SJF is a priority scheduling where priority is the predicted next CPU burst time
Problem Starvation – low priority processes may never execute
Solution Aging – as time progresses increase the priority of the process
5.24 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Round Robin (RR)Round Robin (RR)
Each process gets a small unit of CPU time (time quantum), usually 10-100 milliseconds. After this time has elapsed, the process is preempted and added to the end of the ready queue.
If there are n processes in the ready queue and the time quantum is q, then each process gets 1/n of the CPU time in chunks of at most q time units at once. No process waits more than (n-1)q time units.
Performance
q large FIFO
q small q must be large with respect to context switch, otherwise overhead is too high
5.25 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Example of RR with Time Quantum = 20Example of RR with Time Quantum = 20
Process Burst Time
P1 53
P2 17
P3 68
P4 24 The Gantt chart is:
Typically, higher average turnaround than SJF, but better response
P1 P2 P3 P4 P1 P3 P4 P1 P3 P3
0 20 37 57 77 97 117 121 134 154 162
5.26 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Time Quantum and Context Switch TimeTime Quantum and Context Switch Time
5.27 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Quantum Quantum 의 크기의 크기 길이 고정 대 가변 대단히 클 경우 FIFO 와 동일 작아질수록 문맥교환이 빈번 최적치 : 대부분의 대화형 사용자의 요구가 quantum 보다 짧은
시간에 처리될 경우
5.28 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Turnaround Time Varies With The Time QuantumTurnaround Time Varies With The Time Quantum
5.29 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
SRT, HRNSRT, HRN
SRT(Shortest-Remaining-Times First) 스케쥴링 : preemptive
SJF 를 Preemptive 기법으로 변형 대기 list 상의 job 중 남아있는 실행시간 추정치가 가장 작은
작업 선택
HRN(Highest-Response-ratio Next) 스케쥴링 SJF 는 짧은 job 을 지나치게 선호 Nonpreemptive
우선순위 = 대기시간 + 서비스시간
서비스시간
5.30 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multilevel QueueMultilevel Queue
Ready queue is partitioned into separate queues:foreground (interactive)background (batch)
Each queue has its own scheduling algorithm
foreground – RR
background – FCFS
Scheduling must be done between the queues
Fixed priority scheduling; (i.e., serve all from foreground then from background). Possibility of starvation.
Time slice – each queue gets a certain amount of CPU time which it can schedule amongst its processes; i.e., 80% to foreground in RR
20% to background in FCFS
5.31 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multilevel Queue SchedulingMultilevel Queue Scheduling
5.32 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multilevel Feedback QueueMultilevel Feedback Queue
A process can move between the various queues; aging can be implemented this way
Multilevel-feedback-queue scheduler defined by the following parameters:
number of queues
scheduling algorithms for each queue
method used to determine when to upgrade a process
method used to determine when to demote a process
method used to determine which queue a process will enter when that process needs service
5.33 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Example of Multilevel Feedback QueueExample of Multilevel Feedback Queue
Three queues:
Q0 – RR with time quantum 8 milliseconds
Q1 – RR time quantum 16 milliseconds
Q2 – FCFS
Scheduling
A new job enters queue Q0 which is served FCFS. When it gains CPU, job receives 8 milliseconds. If it does not finish in 8 milliseconds, job is moved to queue Q1.
At Q1 job is again served FCFS and receives 16 additional milliseconds. If it still does not complete, it is preempted and moved to queue Q2.
5.34 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multilevel Feedback QueuesMultilevel Feedback Queues
5.35 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multilevel Feedback Queue: PreemptiveMultilevel Feedback Queue: Preemptive
프로세스의 특성에 따라 처리 짧은 작업에 우선권 IO 위주의 작업에 우선권 (IO 장치를 충분히 사용 ) CPU-bound / IO-bound 를 빨리 파악 CPU bound-job : 계산위주의 작업
( 점차 아래로 이동 ) IO bound-job : ( 상위 level 에서 처리 )
5.36 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Level 1(FIFO)
••• ••• Use theCPU
completion
Level 2(FIFO)
••• ••• Use theCPU
completion
Level 3(FIFO)
••• ••• Use theCPU
completion
Level n(round robin)
••• ••• Use theCPU
completion•••
preemption
preemption
preemption
preemption
5.37 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
100 percent
SYSTEMRESOURCES
p
PROCESSSCHEDULER
p
p
p
p
pp
U1 U2
p
U3
p
pp
p
U4
p
pp
pp
Un
100 percent
• • •
p
pp
p
5.38 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
100 percent
SYSTEMRESOURCES
p
FAIR SHARESCHEDULER
p
p
p
p
pp
U1 U2
p
U3
p
pp
p
U4
p
pp
pp
Un
25 percent
• • •
p
pp
p
PROCESSSCHEDULER
PROCESSSCHEDULER
PROCESSSCHEDULER
50 percent25 percent
G1 G2 G3
5.39 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Multiple-Processor SchedulingMultiple-Processor Scheduling
CPU scheduling more complex when multiple CPUs are available
Homogeneous processors within a multiprocessor
Load sharing
Asymmetric multiprocessing – only one processor accesses the system data structures, alleviating the need for data sharing
Symmetric multiprocessing – each processor is self-scheduling
processor afinity
5.40 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
5. 8 5. 8 Typical SMT architectureTypical SMT architecture
SMT : Symmetric multithreadingSMT : Symmetric multithreading - provide multiple logical- rather than physical- - provide multiple logical- rather than physical- processors processors
5.41 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Real-Time SchedulingReal-Time Scheduling
Hard real-time systems – required to complete a critical task within a guaranteed amount of time
Soft real-time computing – requires that critical processes receive priority over less fortunate ones
5.42 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Dispatch LatencyDispatch Latency
5.43 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Deadline Deadline 스케쥴링 스케쥴링 (( 기한부 스케쥴링기한부 스케쥴링 ))
각 job 이 마감시간을 가짐 각 job 이 마감시간내에 처리되도록 스케쥴 문제점 : 구현이 거의 불가능
Deadline 을 사용자가 예측 불가능 일부 사용자 희생 Overhead 가 큼
5.44 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Priority Inversion #1Priority Inversion #1
Thread A(high priority)
Thread B(low priority)
unlock mlock m
Time
blocked Running ready
scheduled lock m
Priority inversion
5.45 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Priority Inversion #2Priority Inversion #2
Thread A(high priority)
Thread C(low priority)
lock m
Time
blocked running ready
scheduled lock m
Priority inversion
Thread B(medium priority)
scheduled
5.46 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Priority Inheritance ProtocolPriority Inheritance Protocol
Thread A(priority p+x)
Thread B(priority p)
unlock mlower to plock m
Time
blocked running ready
scheduled lock m
raise top+x
5.47 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Priority Ceiling ProtocolPriority Ceiling Protocol
Thread A(priority p+x)
Thread B(priority p)
unlock mlower to p
Time
blocked running ready
scheduled lock m
lock mraise to p+x
5.48 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Thread SchedulingThread Scheduling
Local Scheduling – How the threads library decides which thread to put onto an available LWP
Global Scheduling – How the kernel decides which kernel thread to run next
5.49 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Pthread Scheduling APIPthread Scheduling API
#include <pthread.h>#include <stdio.h>#define NUM THREADS 5int main(int argc, char *argv[]){
int i;pthread t tid[NUM THREADS];pthread attr t attr;/* get the default attributes */pthread attr init(&attr);/* set the scheduling algorithm to PROCESS or SYSTEM */pthread attr setscope(&attr, PTHREAD SCOPE SYSTEM);/* set the scheduling policy - FIFO, RT, or OTHER */pthread attr setschedpolicy(&attr, SCHED OTHER);/* create the threads */for (i = 0; i < NUM THREADS; i++)
pthread create(&tid[i],&attr,runner,NULL);
5.50 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Pthread Scheduling APIPthread Scheduling API
/* now join on each thread */
for (i = 0; i < NUM THREADS; i++)
pthread join(tid[i], NULL);
}
/* Each thread will begin control in this function */
void *runner(void *param)
{
printf("I am a thread\n");
pthread exit(0);
}
5.51 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Java Thread SchedulingJava Thread Scheduling
JVM Uses a Preemptive, Priority-Based Scheduling Algorithm
FIFO Queue is Used if There Are Multiple Threads With the Same Priority
5.52 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Java Thread Scheduling (cont)Java Thread Scheduling (cont)
JVM Schedules a Thread to Run When:
1. The Currently Running Thread Exits the Runnable State
2. A Higher Priority Thread Enters the Runnable State
* Note – the JVM Does Not Specify Whether Threads are Time-Sliced or Not
5.53 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Time-SlicingTime-Slicing
Since the JVM Doesn’t Ensure Time-Slicing, the yield() Method
May Be Used:
while (true) {
// perform CPU-intensive task
. . .
Thread.yield();
}
This Yields Control to Another Thread of Equal Priority
5.54 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Thread PrioritiesThread Priorities
Priority Comment
Thread.MIN_PRIORITY Minimum Thread Priority
Thread.MAX_PRIORITY Maximum Thread Priority
Thread.NORM_PRIORITY Default Thread Priority
Priorities May Be Set Using setPriority() method:
setPriority(Thread.NORM_PRIORITY + 2);
5.55 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Scheduler - TPScheduler - TP/** * Scheduler.java
*/
public class Scheduler extends Thread
{
private CircularList queue;
private int timeSlice;
private static final int DEFAULT_TIME_SLICE = 1000; // 1 초
public Scheduler() {
timeSlice = DEFAULT_TIME_SLICE;
queue = new CircularList();
}
public Scheduler(int quantum) {
timeSlice = quantum;
queue = new CircularList();
}
5.56 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Scheduler - TPScheduler - TP // adds a thread to the queue
public void addThread(Thread t) {
t.setPriority(2);
queue.addItem(t);
}
// this method puts the scheduler to sleep for a time quantum
private void schedulerSleep() {
try {
Thread.sleep(timeSlice);
} catch (InterruptedException e)
{};
}
5.57 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Scheduler - TPScheduler - TP public void run() {
Thread current;
// set the priority of the scheduler to the highest priority
this.setPriority(6);
while (true) {
current = (Thread)queue.getNext();
if ( (current != null) &&
(current.isAlive()) {
current.setPriority(4);
schedulerSleep();
current.setPriority(2);
}
}
}
}
5.58 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
/**
* TestScheduler.java
* This program demonstrates how the scheduler operates.
* This creates the scheduler and then the three example threads.
*/
public class TestScheduler
{
public static void main(String args[]) {
/**
* This must run at the highest priority
* to ensure that it can create the scheduler and the example
* threads. If it did not run at the highest priority, it is
* possible that the scheduler could preemt this and not allow
* it to create the example threads.
*/
5.59 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Thread.currentThread().setPriority(Thread.MAX_PRIORITY);
scheduler CPUScheduler = new scheduler();
CPUScheduler.start();
TestThread t1 = new TestThread("Thread 1");
t1.start();
CPUScheduler.addThread(t1);
TestThread t2 = new TestThread("Thread 2");
t2.start();
CPUScheduler.addThread(t2);
TestThread t3 = new TestThread("Thread 3");
t3.start();
CPUScheduler.addThread(t3);
}
}
5.60 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Operating System ExamplesOperating System Examples
Solaris scheduling
Windows XP scheduling
Linux scheduling
5.61 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Solaris 2 SchedulingSolaris 2 Scheduling
5.62 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Solaris Dispatch Table Solaris Dispatch Table
5.63 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Windows XP PrioritiesWindows XP Priorities
5.64 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Linux SchedulingLinux Scheduling
Two algorithms: time-sharing and real-time Time-sharing
Prioritized credit-based – process with most credits is scheduled next
Credit subtracted when timer interrupt occurs When credit = 0, another process chosen When all processes have credit = 0, recrediting occurs
Based on factors including priority and history Real-time
Soft real-time Posix.1b compliant – two classes
FCFS and RR Highest priority process always runs first
5.65 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
The Relationship Between Priorities and Time-slice lengthThe Relationship Between Priorities and Time-slice length
5.66 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
List of Tasks Indexed According to ProritiesList of Tasks Indexed According to Prorities
5.67 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Algorithm EvaluationAlgorithm Evaluation
Deterministic modeling – takes a particular predetermined workload and defines the performance of each algorithm for that workload
Queueing models
Implementation
5.68 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
Deterministic modelingDeterministic modeling
Process Burst Time
P1 10
P2 29
P3 3
P4 7
P5 12
5.69 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
FCFSFCFS
Average waiting time = 28
5.70 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
SJF(nonpreemptive)SJF(nonpreemptive)
Average waiting time = 13
5.71 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
RRRR
Average waiting time = 23
5.72 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
큐잉 모델큐잉 모델 개요
큐잉 이론과 마코프 프로세스 시스템의 행태를 수학적으로 표현한 것
큐잉 이론 큐잉 이론 : theory of waiting lines 서비스 용량 (money) 대 대기열 (time)
Server 1
Server 2
Server C
Service facility with identical servers
Queue or waiting line of customers
Input traffic
Population of customers
•••
5.73 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
큐잉 모델큐잉 모델 Unbounded vs. bounded queue
다수의 random variable 사용
• q: waiting time• s: service time• w: 큐잉 시스템내 체류시간• w = q + s
5.74 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
큐잉 모델큐잉 모델
5.75 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
트래픽 밀도트래픽 밀도
트래픽 밀도 u : 손님을 효율적으로 서비스하는 능력의 측정치
트래픽 밀도 : 최소 서버수의 결정에 사용 예 ,
따라서 4 명의 서버가 필요
서비스율 : 도착율 ,:
)()()(
SE
ESE
u
43 ,5)( ,17)( .uESE
5.76 Silberschatz, Galvin and Gagne ©2005Operating System Concepts
5.15 5.15 Evaluation by simulationEvaluation by simulation
End of Chapter 5End of Chapter 5