Math Problem Statement
Solution
The problem involves scheduling three processes , , and , and their characteristics are summarized in the table provided:
Processus | Temps d'exécution | Temps d'E/S | Temps d'exécution | Temps d'E/S | Temps d'exécution | Priorité |
---|---|---|---|---|---|---|
P1 | 2 unités | 5 unités | 5 unités | 1 unité | 1 unité | 3 |
P2 | 9 unités | 1 unité | 1 unité | 0 unité | 0 unité | 1 |
P3 | 5 unités | 2 unités | 1 unité | 5 unités | 1 unité | 2 |
We are asked to:
- Perform a FIFO (First In, First Out) scheduling based on increasing process numbers.
- Perform a priority-based scheduling with preemption (the lower the priority number, the higher the priority).
Assumptions:
- All processes start at , and the input/output (E/S) operations can overlap with execution.
For FIFO Scheduling:
- Processes are scheduled in the order , 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:
- How does FIFO scheduling work when processes have different I/O times?
- What is the role of preemption in priority scheduling?
- How can we calculate the total time for process completion in both scheduling methods?
- In priority scheduling, what happens if two processes have the same priority?
- 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)
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