Math Problem Statement
Solution
Thank you for uploading the image. The document contains scheduling problems related to process management in operating systems. Here’s a breakdown of the tasks:
Exercise 3 (FIFO Scheduling)
We are given 5 processes (A, B, C, D, E) with their respective arrival times and execution times. We need to:
- Draw the Gantt Chart for the FIFO (First In First Out) scheduling algorithm.
- Calculate the turnaround time (temps de séjour) for each process and the average turnaround time.
- Calculate the waiting time (temps d'attente) for each process and the average waiting time.
Data:
Process | Arrival Time | Execution Time |
---|---|---|
A | 0 | 3 |
B | 1 | 6 |
C | 4 | 4 |
D | 6 | 2 |
E | 7 | 1 |
Exercise 4 (SJF Scheduling)
We are given 5 processes (P1, P2, P3, P4, P5) with their arrival times and service times. Tasks:
- Explain the principle of the Shortest Job First (SJF) scheduling algorithm.
- Draw the Gantt Chart for the SJF scheduling algorithm.
- Calculate the turnaround time for each process and the average turnaround time.
- Calculate the waiting time for each process and the average waiting time.
Data:
Process | Arrival Time | Service Time |
---|---|---|
P1 | 0 | 3 |
P2 | 1 | 5 |
P3 | 3 | 2 |
P4 | 9 | 5 |
P5 | 12 | 5 |
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Math Problem Analysis
Mathematical Concepts
Process Scheduling
Gantt Charts
Turnaround Time Calculation
Waiting Time Calculation
Formulas
Turnaround Time = Completion Time - Arrival Time
Waiting Time = Turnaround Time - Execution Time
Theorems
FIFO Scheduling Principle
SJF Scheduling Principle
Suitable Grade Level
Undergraduate (Computer Science or IT)
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