Alternative Scheduling in Linux Alina Beygelzimer November 30, 1999

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1 Alternative Scheduling in Linux Alina Beygelzimer November 30, 1999

2 Normal Scheduling under Linux ffl schedule() function (kernel/sched.c) ffl Linux supports three scheduling classes: SCHED_OTHER SCHED_FIFO SCHED_RR ffl All processes regardless of the scheduling policy are placed on a single run queue (doubly linked by prev_run and next_run components of the task structure) ffl Components of the task_struct related to scheduling: long counter; long priority; unsigned long policy; unsigned long rt_priority; long need_resched; ffl Several system calls allow the policy and scheduling parameters to be modified (setpriority, nice, sched_setparam, etc.)

3 The scheduler gets called from ffl some system calls (usually indirectly by calling sleep_on()) ffl ret_from_sys_call (if need_resched flag is on) static void update_process_times(unsigned long ticks)... struct task_struct *p = current; p->counter -= ticks; if (p->counter < 0) p->counter = 0; p->need_resched = 1;...

4 What does schedule() do? ffl checks to make sure it hasn't been called from an interrupt handler ffl does "administrative" work: calls the bottom halves of the interrupt routines and routines registered for the scheduler task queue: if (tq_scheduler) run_task_queue(&tq_scheduler); if (bh_mask & bh_active) do_bottom_half(); ffl Determines the fate of the current process: If the current task belongs to the SCHED_RR class and its time slice has expired, it is placed at the end of the run queue. struct task_struct *prev = current; if (prev->policy == SCHED_RR &&!prev->counter) prev->counter = prev->priority; move_last_runqueue(prev); If the current task is either finished or blocked and is uniterruptible, it is removed from the run queue. If the current task is blocked but can be reactivated by signals, the scheduler checks to see if any signals have been sent to it. If so, it is made runnable.

5 ffl If the current task simply ran out of time, nothing is done to it. switch (prev->state) case TASK_INTERRUPTIBLE: if (signal_pending(prev)) prev->state = TASK_RUNNING; break; default: del_from_runqueue(prev); case TASK_RUNNING: ffl Next, the scheduler goes through all the tasks in the run queue and computes the goodness of each task. int goodness (struct task_struct *prev, struct task_struct *p) int weight; if (p->policy!= SCHED_OTHER) weight = p->rt_priority; else weight = p->counter; if (weight && (p == prev)) weight += 1; return weight;

6 ffl repeat_schedule: next = &init_task; c = -1000; while (p = init_task.next_run; p!= &init_task) weight = goodness(prev, p); if (weight > c) c = weight; next = p; p = p->next_run; if (!c) for_each_task(p) p->counter = (p->counter / 2) + p->priority; goto repeat_schedule; ffl if (prev!= next) get_mmu_context(next); switch_to(prev, next); See include/asm-*/mmu_context.h:get_mmu_context() include/asm-*/system.h:switch_to()

7 Scheduling real-time tasks. Why Linux can't handle hard real-time tasks and why simple fixes don't work ffl Linux is a fair time-sharing system. It is designed to optimize the average performance and to try to give every process a fair share of compute time. A process can be preempted at an unpredictable moment and forced to wait for its share. ffl Linux VMS also adds unpredictability: pages belonging to any process can be swapped out to disk at any time (although now you can lock pages in memory...) ffl Linux processes are heavyweight. ffl Kernel processes are non-preemptive. Real-time processes cannot get scheduled while the kernel works on behalf of even the least important process. ffl Linux kernel uses disabling interrupts as a means of synchronization. A real-time interrupt may be delayed until the current process, no matter how unimportant, finishes its critical section.

8 Distortions in scheduling due to blocked interrupts Category min mean max Console (TTY) code Network device driver Disk service driver and buffer management code Scheduling Timer handling Memory management Other Duration (in microseconds) for which interrupts are disabled in the Linux Kernel Λ Λ Courtesy of KURT developers (University of Kansas)

9 RT-Linux (Yodaiken, Barabanov) Linux task 2 Linux task 1 Linux Kernel A real-time task Software Interrupts Real-Time Kernel Hardware Interrupts

10 Alternative scheduling algorithms ffl Priority scheduling ffl Fair-share scheduling ffl Real-time scheduling Static table-driven scheduling Priority-driven preemptive scheduling (Liu and Layland, 73) Λ Rate-monotonic scheduling (static) Λ Statistical rate-monotonic scheduling (Atlas and Bestavros, 98) Λ Earliest deadline scheduling (dynamic) Dynamic planning-based scheduling ffl Proportional-share scheduling (Waldspurger, 94) Lottery scheduling (randomized, absolute and relative error O( p n a )) Multi-winner lottery scheduling (hybrid) Stride scheduling (deterministic, absolute error O(n c ), relative error 1) Hierarchical stride scheduling (deterministic, absolute error O(log n c ), relative error 1) ffl Microeconomic scheduling

11 Proportional-share scheduling. Framework ffl Ticket abstraction ffl Ticket transfers provide a convenient solution to priority inversion problem. Unlike priority inheritance, transfers from multiple clients are additive. ffl Ticket inflation and deflation maybe allowed only within trust boundaries that can be defined using ticket currencies. ffl Ticket currencies

12 Lottery Scheduling Each allocation is determined by holding a lottery that randomly selects a winning ticket. The resource is granted to the client holding the winning ticket. This effectively allocates resources to competing clients proportionally to the number of tickets they hold. Nonuniform Quanta When a client consumes a fraction f of its allocated quantum, its resource share is adjusted by 1=f until the client starts its next quantum. Proof. Consider a client that owns t of the T tickets. Client is given extra t=f t compensation tickets for using a fraction f of its allocated quantum. This changes its overall ticket value to t=f. Without this compensation, the client's expected waiting time would be T=t 1. With compensation, it becomes (T + t=f t)=(t=f) 1 = ft=t f. The client's expected resource usage is f quanta over a time period consisting of f +(ft=t f) = ft=t quanta. Thus, the client receives a resource share of f=(ft=t) = t=t, as desired. 2 f f T/ t - f

13 Performance of Lottery Scheduling p = t=t. After n a allocations, the expected number of wins w for client c is E[w] = n a p with variance ff 2 w = n a p(1 p p): The coefficient of variation ff w =E[w] = (1 p)=np. Thus, the expected throughput error for a client is O( p n a ). Client's throughput is proportional to its ticket allocation with accuracy that steadily improves when error is measured as a percentage of n a. Nevertheless, the absolute value of the error is unbounded. The response time has a geometric distribution. The expected number of lotteries l that a client must wait before completing its first win is E[l] = 1=p with variance ff 2 l = (1 p)=p 2 : The coefficient of variation ff l =E[l] = p 1 p. Thus, the response time variability depends only on the client's relative share of tickets.

14 Stride Scheduling Idea: compute the time interval (stride) that a client must wait between successive allocations. The client with the smallest stride will be scheduled most frequently. The client's stride is inversely proportional to tickets. The client's pass represents the time for the client's next selection. The client with the minimum pass is selected, and its pass is advanced by its stride.

15 Performance of Stride Scheduling For skewed ticket distributions it is possible for a client to have O(n c ) absolute error. Nevertheless, stride scheduling is considerably more accurate than lottery scheduling since the error does not grow with the number of allocations. Hierarchical Stride Scheduling Apply stride scheduling recursively. Individual clients are combined into groups. An allocation is performed by invoking the normal stride scheduling algorithm first among groups, and then among individual clients within groups. This allows to reduce the error to O(log n c ).

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