Operating System

Deadline scheduling

This is used for real time systems. The objective of the scheduler is to find a schedule for all the tasks (there are a fixed set of tasks) so that each meets its deadline. The run time of each task is known in advance.

Actually it is more complicated.

• Periodic tasks
• What if we can't schedule all task so that each meets its deadline (i.e., what should be the penalty function)?
• What if the run-time is not constant but has a known probability distribution?

We do not cover deadline scheduling in this course.

The name game

There is an amazing inconsistency in naming the different (short-term) scheduling algorithms. Over the years I have used primarily 4 books: In chronological order they are Finkel, Deitel, Silberschatz, and Tanenbaum. The table just below illustrates the name game for these four books. After the table we discuss each scheduling policy in turn.

Finkel  Deitel  Silbershatz Tanenbaum
-------------------------------------
FCFS    FIFO    FCFS        --    unnamed in tanenbaum
RR      RR      RR          RR
PS      **      PS          PS
SRR     **      SRR         **    not in tanenbaum
SPN     SJF     SJF         SJF
PSPN    SRT     PSJF/SRTF   --    unnamed in tanenbaum
HPRN    HRN     **          **    not in tanenbaum
**      **      MLQ         **    only in silbershatz
FB      MLFQ    MLFQ        MQ

Remark: For an alternate organization of the scheduling algorithms (due to Eric Freudenthal and presented by him Fall 2002) click here.

First Come First Served (FCFS, FIFO, FCFS, --)

If the OS ``doesn't'' schedule, it still needs to store the PTEs somewhere. If it is a queue you get FCFS. If it is a stack (strange), you get LCFS. Perhaps you could get some sort of random policy as well.

• Only FCFS is considered.
• The simplist scheduling policy.
• Non-preemptive.

Round Robin (RR, RR, RR, RR)

• An important preemptive policy.
• Essentially the preemptive version of FCFS.
• The key parameter is the quantum size q.
• When a process is put into the running state a timer is set to q.
• If the timer goes off and the process is still running, the OS preempts the process.
  • This process is moved to the ready state (the preempt arc in the diagram), where it is placed at the rear of the ready list (a queue).
  • The process at the front of the ready list is removed from the ready list and run (i.e., moves to state running).
• When a process is created, it is placed at the rear of the ready list.
• As q gets large, RR approaches FCFS
• As q gets small, RR approaches PS (Processor Sharing, described next)
• What value of q should we choose?
  • Trade-off
  • Small q makes system more responsive.
  • Large q makes system more efficient since less process switching.

Homework: 26, 35, 38.

Homework: Give an argument favoring a large quantum; give an argument favoring a small quantum.

Process	CPU Time	Creation Time
P1	20	0
P2	3	3
P3	2	5

Homework: (Remind me to discuss this last one in class next time): Consider the set of processes in the table below. When does each process finish if RR scheduling is used with q=1, if q=2, if q=3, if q=100. First assume (unrealistically) that context switch time is zero. Then assume it is .1. Each process performs no I/O (i.e., no process ever blocks). All times are in milliseconds. The CPU time is the total time required for the process (excluding any context switch time). The creation time is the time when the process is created. So P1 is created when the problem begins and P3 is created 5 milliseconds later. If two processes have equal priority (in RR this means if thy both enter the ready state at the same cycle), we give priority (in RR this means place first on the queue) to the process with the earliest creation time. If they also have the same creation time, then we give priority to the process with the lower number.

Processor Sharing (PS, **, PS, PS)

Merge the ready and running states and permit all ready jobs to be run at once. However, the processor slows down so that when n jobs are running at once, each progresses at a speed 1/n as fast as it would if it were running alone.

• Clearly impossible as stated due to the overhead of process switching.
• Of theoretical interest (easy to analyze).
• Approximated by RR when the quantum is small. Make sure you understand this last point. For example, consider the last homework assignment (with zero context switch time) and consider q=1, q=.1, q=.01, etc.

Homework: 34.

Variants of Round Robin

• State dependent RR
  • Same as RR but q is varied dynamically depending on the state of the system.
  • Favor processes holding important resources.
    • For example, non-swappable memory.
    • Perhaps this should be considered medium term scheduling since you probably do not recalculate q each time.
• External priorities: RR but a user can pay more and get bigger q. That is one process can be given a higher priority than another. But this is not an absolute priority: the lower priority (i.e., less important) process does get to run, but not as much as the higher priority process.

Priority Scheduling

Each job is assigned a priority (externally, perhaps by charging more for higher priority) and the highest priority ready job is run.

• Similar to ``External priorities'' above
• If many processes have the highest priority, use RR among them.
• Can easily starve processes (see aging below for fix).
• Can have the priorities changed dynamically to favor processes holding important resources (similar to state dependent RR).
• Many policies can be thought of as priority scheduling in which we run the job with the highest priority (with different notions of priority for different policies).

Priority aging

As a job is waiting, raise its priority so eventually it will have the maximum priority.

• This prevents starvation (assuming all jobs terminate or the policy is preemptive).
• There may be many processes with the maximum priority.
• If so, can use FIFO among those with max priority (risks starvation if a job doesn't terminate) or can use RR.
• Can apply priority aging to many policies, in particular to priority scheduling described above.

Selfish RR (SRR, **, SRR, **)

• Preemptive.
• Perhaps it should be called ``snobbish RR''.
• ``Accepted processes'' run RR.
• Accepted process have their priority increase at rate b>=0.
• A new process starts at priority 0; its priority increases at rate a>=0.
• A new process becomes an accepted process when its priority reaches that of an accepted process (or when there are no accepted processes).
• Once a process is accepted it remains accepted until it terminates.
• Note that at any time all accepted processes have same priority.
• If b>=a, get FCFS.
• If b=0, get RR.
• If a>b>0, it is interesting.

Shortest Job First (SPN, SJF, SJF, SJF)

Sort jobs by total execution time needed and run the shortest first.

• Nonpreemptive
• First consider a static situation where all jobs are available in the beginning and we know how long each one takes to run. For simplicity lets consider ``run-to-completion'', also called ``uniprogrammed'' (i.e., we don't even switch to another process on I/O). In this situation, uniprogrammed SJF has the shortest average waiting time
  • Assume you have a schedule with a long job right before a short job.
  • Consider swapping the two jobs.
  • This decreases the wait for the short by the length of the long job and increases the wait of the long job by the length of the short job.
  • This decreases the total waiting time for these two.
  • Hence decreases the total waiting for all jobs and hence decreases the average waiting time as well.
  • Hence, whenever a long job is right before a short job, we can swap them and decrease the average waiting time.
  • Thus the lowest average waiting time occurs when there are no short jobs right before long jobs.
  • This is uniprogrammed SJF.
• In the more realistic case of true SJF where the scheduler switches to a new process when the currently running process blocks (say for I/O), we should call the policy shortest next-CPU-burst first.
• The difficulty is predicting the future (i.e., knowing in advance the time required for the job or next-CPU-burst).
• This is an example of priority scheduling.

Homework: 39, 40 (note that when he says RR with each process getting its fair share, he means PS).

Preemptive Shortest Job First (PSPN, SRT, PSJF/SRTF, --)

Preemptive version of above

• Permit a process that enters the ready list to preempt the running process if the time for the new process (or for its next burst) is less than the remaining time for the running process (or for its current burst).
• It will never happen that a process in the ready list will require less time than the remaining time for the currently running process. Why?
  Ans: When the process joined the ready list it would have started running if the current process had more time remaining. Since that didn't happen the current job had less time remaining and now it has even less.
• Can starve processs that require a long burst.
  • This is fixed by the standard technique.
  • What is that technique?
    Ans: Priority aging.
• Another example of priority scheduling.

Highest Penalty Ratio Next (HPRN, HRN, **, **)