Derive the states of the three processes P1, P2 and P3 from below resource allocation diagram and explain why. (A solid line. indicates that the resource has been allocated to the process; a dashed line means that the process is waiting for the resource)

Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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## Resource Allocation Diagram Analysis

In the provided resource allocation diagram, we have three processes labeled P1, P2, and P3 corresponding to three resources: Processor, I/O, and Main Memory. The diagram uses solid and dashed lines to indicate the allocation and waiting states of resources by processes.

**Key:**
- **Solid Line:** The resource has been allocated to the process.
- **Dashed Line:** The process is waiting for the resource.

### Diagram Explanation:
- **P1:** 
  - Has a solid line connecting it to the Processor, indicating that the Processor is currently allocated to P1.
  - A solid line connects P1 to I/O, showing that P1 is also allocated the I/O resource.
  
- **P2:** 
  - Displays a solid line to the I/O resource, indicating it is allocated the I/O resource.
  - Has a dashed line pointing towards the Processor, signifying P2 is waiting for the Processor.
  - Also has a dashed line toward Main Memory, meaning P2 is waiting for it as well.
  
- **P3:**
  - Shows a solid line leading to Main Memory, indicating that Main Memory is allocated to P3.
  - Dashed lines connect P3 to the I/O and Processor, indicating P3 is waiting for both these resources.

### Analysis of Process States:
- **P1** is in a running state since it has both the Processor and I/O resources needed for its operation.
- **P2** is in a waiting state because it lacks both the Processor and Main Memory.
- **P3** is also in a waiting state because it requires the Processor and I/O resources to proceed.

This diagram illustrates a typical allocation scenario in operating systems, helping visualize how resource allocation and process scheduling might work, which is critical for avoiding deadlocks and optimizing performance within a system.
Transcribed Image Text:## Resource Allocation Diagram Analysis In the provided resource allocation diagram, we have three processes labeled P1, P2, and P3 corresponding to three resources: Processor, I/O, and Main Memory. The diagram uses solid and dashed lines to indicate the allocation and waiting states of resources by processes. **Key:** - **Solid Line:** The resource has been allocated to the process. - **Dashed Line:** The process is waiting for the resource. ### Diagram Explanation: - **P1:** - Has a solid line connecting it to the Processor, indicating that the Processor is currently allocated to P1. - A solid line connects P1 to I/O, showing that P1 is also allocated the I/O resource. - **P2:** - Displays a solid line to the I/O resource, indicating it is allocated the I/O resource. - Has a dashed line pointing towards the Processor, signifying P2 is waiting for the Processor. - Also has a dashed line toward Main Memory, meaning P2 is waiting for it as well. - **P3:** - Shows a solid line leading to Main Memory, indicating that Main Memory is allocated to P3. - Dashed lines connect P3 to the I/O and Processor, indicating P3 is waiting for both these resources. ### Analysis of Process States: - **P1** is in a running state since it has both the Processor and I/O resources needed for its operation. - **P2** is in a waiting state because it lacks both the Processor and Main Memory. - **P3** is also in a waiting state because it requires the Processor and I/O resources to proceed. This diagram illustrates a typical allocation scenario in operating systems, helping visualize how resource allocation and process scheduling might work, which is critical for avoiding deadlocks and optimizing performance within a system.
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