Library prosa.model.readiness.sequential

Require Export prosa.behavior.all.
Require Export prosa.model.task.sequentiality.

Sequential Readiness Model

In this module, we specify the notion of sequential task readiness. This notion is similar to the classic Liu & Layland model without jitter or self-suspensions. However, an important difference is that in the sequential task readiness model only the earliest pending job of a task is ready.

Section SequentialTasksReadiness.

Consider any type of job associated with any type of tasks ...

  Context {Job : JobType} {Task : TaskType} `{JobTask Job Task}.
  Context `{JobArrival Job}.
  Context `{JobCost Job}.

... and any kind of processor state.

Context {PState : ProcessorState Job}.

A given readiness model RM ...

Variable RM : JobReady Job PState.

... follows the basic sequential readiness model iff a job j is ready at a time instant t exactly when it is pending and all jobs from task job_task j that arrived earlier than job j are already completed by time t.

  Definition basic_sequential_readiness (arr_seq : arrival_sequence Job) :=
    ∀ sched j t,
      job_ready sched j t = pending sched j t
                            && prior_jobs_complete arr_seq sched j t.

End SequentialTasksReadiness.