Using the priority list T6, T4, T9, T5, T10, T7, T1, T3, Tg, T2, schedule the project below with two processors.
Using the priority list T6, T4, T9, T5, T10, T7, T1, T3, Tg, T2, schedule the project below with two processors.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:### Project Scheduling with Directed Acyclic Graphs (DAG)
#### Task Scheduling Using a Priority List
**Objective**: Schedule the project using two processors based on the priority list.
**Priority List**: T₆, T₄, T₉, T₅, T₁₀, T₇, T₁, T₃, T₈, T₂
#### Task Diagram Explanation
The diagram is a Directed Acyclic Graph (DAG) representing tasks and their dependencies in a project:
- **Nodes (Tasks)**: Each node represents a task, labeled T₁ to T₁₀. The numbers in parentheses next to each task indicate the time units required to complete the task (e.g., T₁ (12) takes 12 time units).
- **Arrows (Dependencies)**: Arrows between tasks show the dependency order. A task at the start of an arrow must be completed before the task at the end of the arrow can begin.
- **Nodes to Complete the Project**: Start and End nodes indicate the beginning and completion of the project.
#### Task List and Times
- **T₁ (12)**: Requires 12 units
- **T₂ (9)**: Requires 9 units
- **T₃ (10)**: Requires 10 units
- **T₄ (8)**: Requires 8 units
- **T₅ (7)**: Requires 7 units
- **T₆ (2)**: Requires 2 units
- **T₇ (6)**: Requires 6 units
- **T₈ (11)**: Requires 11 units
- **T₉ (5)**: Requires 5 units
- **T₁₀ (3)**: Requires 3 units
#### Scheduling Task with Processors
- **Processor Assignment**: Tasks must be assigned to two processors based on the priority list order.
- Task 7 (T₇) is assigned to Processor 1.
- Task 8 (T₈) is assigned to Processor 1.
**Instructions**: Enter the start time for each task performed by the processor in the provided input fields. Tasks must adhere to dependencies before initiation.
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