Math Problem Statement

Fill the last 3 tabels

Fill the last 3 tables based on scheduling processes P1, P2, and P3 with FIFO, priority without preemption, and priority with preemption.

Solution

The image shows a scheduling problem for three processes (P1, P2, and P3). It is asking for three different scheduling techniques:

  1. First In First Out (FIFO).
  2. Priority without preemption.
  3. Priority with preemption.

Each process has the following parameters:

  • P1:

    • Execution Time: 2 units
    • I/O Time: 2 units (at time 3)
    • Priority: 3
  • P2:

    • Execution Time: 4 units
    • I/O Time: 3 units (at time 2)
    • Priority: 2
  • P3:

    • Execution Time: 2 units
    • I/O Time: 1 unit (at time 2)
    • Priority: 1

Now, I will explain and fill each of the tables for the scheduling strategies:

1. FIFO (First In First Out):

In FIFO, the processes are scheduled in the order they arrive, without considering priority. Since all processes can start at the same time (t=0), the scheduling will follow the order of P1, P2, and P3.

  • P1 starts at time 0 and runs for 2 units, finishing at time 2.
  • P2 starts at time 2 and runs for 4 units, finishing at time 6.
  • P3 starts at time 6 and runs for 2 units, finishing at time 8.

This will look like:

P1: ████
P2: ████████████
P3: ████████

2. Priority Scheduling without Preemption:

In this case, we schedule processes based on their priority. Since P3 has the highest priority (1), it will go first, followed by P2 (priority 2), and P1 (priority 3).

  • P3 starts at time 0 and runs for 2 units, finishing at time 2.
  • P2 starts at time 2 and runs for 4 units, finishing at time 6.
  • P1 starts at time 6 and runs for 2 units, finishing at time 8.

The output will be:

P3: ████
P2: ████████████
P1: ████████

3. Priority Scheduling with Preemption:

Here, the processes are scheduled based on their priority, but a higher-priority process can preempt a lower-priority process if it becomes available.

  • P3 starts at time 0 and runs for 2 units, finishing at time 2.
  • P2 starts at time 2 and runs for 1 unit. After 1 unit (at time 3), P1 becomes ready, but since P2 has a higher priority than P1, it continues running for its remaining 3 units, finishing at time 6.
  • P1 starts at time 6 and runs for 2 units, finishing at time 8.

This will result in:

P3: ████
P2: ████████████
P1: ████████

Would you like any additional details on how these schedules were determined?


Here are 5 questions related to this concept:

  1. How does the priority-based preemptive scheduling differ from non-preemptive?
  2. What is the main advantage of using preemptive scheduling over FIFO?
  3. How do I/O wait times influence scheduling decisions in a real-world system?
  4. What happens when two processes have the same priority level in priority-based scheduling?
  5. How could round-robin scheduling be applied to the same set of processes?

Tip: Preemptive scheduling allows more important (higher priority) tasks to execute earlier, but it can lead to more frequent context switches, which might reduce efficiency.

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Math Problem Analysis

Mathematical Concepts

Scheduling Algorithms
First In First Out (FIFO)
Priority Scheduling
Preemption

Formulas

-

Theorems

FIFO Scheduling Rule
Priority Scheduling Rule

Suitable Grade Level

University (Computer Science)