A fixed-priority system contains five tasks. There are two kinds of resources X and Y. Resource X has 3 units and resource Y has 2 units. The resource requirements of the tasks are as follows: (See Picture)

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A fixed-priority system contains five tasks. There are two kinds of resources X and Y. Resource X has 3 units and resource Y has 2 units. The resource requirements of the tasks are as follows: (See Picture) 

### Job Scheduling and Blocking Times

In the context of job scheduling, consider the following table that represents jobs \( T_i \) along with their parameters:

| Job \( T_i \) | Resources Used and Parameters |
|---------------|-------------------------------|
| \( T_1 \)     | \([X, 1; 3]\)                |
| \( T_2 \)     | \([Y, 1; 4]\)                |
| \( T_3 \)     | \([Y, 1; 4]\) \([X, 3; 2]\)  |
| \( T_4 \)     | \([X, 1; 4]\) \([Y, 2; 2]\)  |
| \( T_5 \)     | \([Y, 1; 3]\)                |

#### Explanation:

- Each entry in the table involves a job \( T_i \) and the resources it requires, followed by two parameters which could represent time intervals or priority levels.
- For example, \([X, 1; 3]\) means job \( T_1 \) uses resource \( X \) with parameters 1 and 3.

### Priority and SRP Protocol

- The priority of \( T_i \) is higher than \( T_j \) if \( i < j \).
- The system uses Baker’s stack-based policy (SRP) protocol.

### Problem

Determine the maximum blocking times of the jobs given the usage of Baker’s SRP protocol, which is crucial for understanding resource locking and scheduling efficiency in real-time systems.

### Key Concepts

- **Blocking Time**: The duration a task is delayed due to resource contention.
- **SRP (Stack Resource Policy)**: A scheduling protocol ensuring tasks are executed without deadlock, optimizing resource utilization.

Understanding blocking times involves analyzing resource priorities and waiting periods due to task interactions. Analyzing such scenarios is essential for efficient system design in task scheduling and resource management.
Transcribed Image Text:### Job Scheduling and Blocking Times In the context of job scheduling, consider the following table that represents jobs \( T_i \) along with their parameters: | Job \( T_i \) | Resources Used and Parameters | |---------------|-------------------------------| | \( T_1 \) | \([X, 1; 3]\) | | \( T_2 \) | \([Y, 1; 4]\) | | \( T_3 \) | \([Y, 1; 4]\) \([X, 3; 2]\) | | \( T_4 \) | \([X, 1; 4]\) \([Y, 2; 2]\) | | \( T_5 \) | \([Y, 1; 3]\) | #### Explanation: - Each entry in the table involves a job \( T_i \) and the resources it requires, followed by two parameters which could represent time intervals or priority levels. - For example, \([X, 1; 3]\) means job \( T_1 \) uses resource \( X \) with parameters 1 and 3. ### Priority and SRP Protocol - The priority of \( T_i \) is higher than \( T_j \) if \( i < j \). - The system uses Baker’s stack-based policy (SRP) protocol. ### Problem Determine the maximum blocking times of the jobs given the usage of Baker’s SRP protocol, which is crucial for understanding resource locking and scheduling efficiency in real-time systems. ### Key Concepts - **Blocking Time**: The duration a task is delayed due to resource contention. - **SRP (Stack Resource Policy)**: A scheduling protocol ensuring tasks are executed without deadlock, optimizing resource utilization. Understanding blocking times involves analyzing resource priorities and waiting periods due to task interactions. Analyzing such scenarios is essential for efficient system design in task scheduling and resource management.
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