Math Problem Statement

Effectuer un ordonnancement en FIFO et un ordonnancement par priorité avec préemption pour les processus P1, P2, et P3 caractérisés par leur temps d'exécution, temps d'E/S, et priorité.

Solution

The problem involves scheduling three processes P1P1, P2P2, and P3P3, and their characteristics are summarized in the table provided:

ProcessusTemps d'exécutionTemps d'E/STemps d'exécutionTemps d'E/STemps d'exécutionPriorité
P12 unités5 unités5 unités1 unité1 unité3
P29 unités1 unité1 unité0 unité0 unité1
P35 unités2 unités1 unité5 unités1 unité2

We are asked to:

  1. Perform a FIFO (First In, First Out) scheduling based on increasing process numbers.
  2. Perform a priority-based scheduling with preemption (the lower the priority number, the higher the priority).

Assumptions:

  • All processes start at t=0t=0, and the input/output (E/S) operations can overlap with execution.

For FIFO Scheduling:

  • Processes are scheduled in the order P1P2P3P1 \rightarrow P2 \rightarrow P3, without considering their priority or execution details.

For Priority Scheduling with Preemption:

  • The scheduling must prioritize processes based on their given priority numbers, allowing preemption if a higher-priority process arrives during execution.

Would you like me to walk through the detailed solution for each scheduling strategy step by step?

Follow-up Questions:

  1. How does FIFO scheduling work when processes have different I/O times?
  2. What is the role of preemption in priority scheduling?
  3. How can we calculate the total time for process completion in both scheduling methods?
  4. In priority scheduling, what happens if two processes have the same priority?
  5. What happens if we adjust the starting times of the processes?

Tip:

When simulating scheduling algorithms, it’s essential to maintain a timeline chart to track which process is executing at each time step, especially when dealing with I/O operations and preemption.

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Math Problem Analysis

Mathematical Concepts

Process Scheduling
FIFO (First In, First Out)
Priority Scheduling
Preemption

Formulas

-

Theorems

FIFO Algorithm
Preemptive Priority Scheduling

Suitable Grade Level

Undergraduate (Computer Science or Operating Systems)