The last line got cut off but you can still see the #'s at the bottom. ### Task Scheduling with Priority and Processors**Description:**Using the priority list $ T_5, T_{10}, T_9, T_3, T_4, T_6, T_1, T_2, T_7, T_8 $, the project is to be scheduled with two processors. Each task is denoted as $ T_i $ where $ i $ indicates the task number and the number in parentheses represents the task duration.**Diagram Explanation:**The diagram is a directed acyclic graph representing the tasks and their dependencies:- **Nodes and Edges:** - Nodes represent tasks such as $ T_1, T_2, \ldots, T_{10} $. - Directed edges indicate the precedence relations between tasks. For example, $ T_5 \rightarrow T_9 $ means $ T_5 $ must be completed before $ T_9 $ can start.- **Task Details:** - $ T_1 (5) $ - $ T_2 (2) $ - $ T_3 (8) $ - $ T_4 (3) $ - $ T_5 (12) $ - $ T_6 (6) $ - $ T_7 (11) $ - $ T_8 (10) $ - $ T_9 (7) $ - $ T_{10} (9) $**Gantt Chart Explanation:**The Gantt chart below the diagram shows the scheduling of tasks across two processors over time from 0 to 38 units.- **Processor 1 Schedule:** - $ T_2 $ scheduled from 0 to 2 - $ T_6 $ scheduled from 2 to 8 - $ T_1 $ scheduled from 8 to 13 - $ T_4 $ scheduled from 13 to 16 - $ T_5 $ scheduled from 16 to 28 - $ T_9 $ scheduled from 28 to 35- **Processor 2 Schedule:** - $ T_3 $ scheduled from 0 to 8 - $ T_7 $ scheduled from 8 to 19 - $ T_8 $ scheduled The image depicts three Gantt charts representing task scheduling scenarios:### Top Chart- **T2**: Positioned from 0 to 3.- **T6**: Positioned from 3 to 9.- **T4**: Positioned from 9 to 12.- **T3**: Positioned from 12 to 18.- **T7**: Positioned from 18 to 27.- **T8**: Positioned from 27 to 33.- **T10**: Positioned from 33 to 48.- **T1**: Positioned from 0 to 6.- **T5**: Positioned from 6 to 12.- **T9**: Positioned from 12 to 33.### Middle Chart- **T2**: Positioned from 0 to 2.- **T3**: Positioned from 2 to 8.- **T7**: Positioned from 8 to 18.- **T8**: Positioned from 18 to 26.- **T10**: Positioned from 26 to 40.- **T4**: Positioned from 0 to 2.- **T6**: Positioned from 2 to 8.- **T1**: Positioned from 8 to 14.- **T5**: Positioned from 14 to 20.- **T9**: Positioned from 20 to 26.### Bottom Chart- **T2**: Positioned from 0 to 2.- **T6**: Positioned from 2 to 8.- **T5**: Positioned from 8 to 18.- **T9**: Positioned from 18 to 27.- **T8**: Positioned from 27 to 33.- **T10**: Positioned from 33 to 44.- **T4**: Positioned from 0 to 2.- **T1**: Positioned from 2 to 8.- **T3**: Positioned from 8 to 14.- **T7**: Positioned from 14 to 27.Each bar's length correlates with the timeframe allotted for each task. The visualization aids in understanding task overlapping and sequencing within various scheduling approaches.

Given Priority list and the digraph is

Answered: Using the priority list T5, T10, T9,…

Using the priority list T5, T10, T9, T3, T4, T6, T1, T2, T7, Tg, schedule the project below with two processors. Select the correct schedule.

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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Question

The last line got cut off but you can still see the #'s at the bottom.

### Task Scheduling with Priority and Processors

**Description:**
Using the priority list $ T_5, T_{10}, T_9, T_3, T_4, T_6, T_1, T_2, T_7, T_8 $, the project is to be scheduled with two processors. Each task is denoted as $ T_i $ where $ i $ indicates the task number and the number in parentheses represents the task duration.

**Diagram Explanation:**
The diagram is a directed acyclic graph representing the tasks and their dependencies:

- **Nodes and Edges:**
- Nodes represent tasks such as $ T_1, T_2, \ldots, T_{10} $.
- Directed edges indicate the precedence relations between tasks. For example, $ T_5 \rightarrow T_9 $ means $ T_5 $ must be completed before $ T_9 $ can start.

- **Task Details:**
- $ T_1 (5) $
- $ T_2 (2) $
- $ T_3 (8) $
- $ T_4 (3) $
- $ T_5 (12) $
- $ T_6 (6) $
- $ T_7 (11) $
- $ T_8 (10) $
- $ T_9 (7) $
- $ T_{10} (9) $

**Gantt Chart Explanation:**
The Gantt chart below the diagram shows the scheduling of tasks across two processors over time from 0 to 38 units.

- **Processor 1 Schedule:**
- $ T_2 $ scheduled from 0 to 2
- $ T_6 $ scheduled from 2 to 8
- $ T_1 $ scheduled from 8 to 13
- $ T_4 $ scheduled from 13 to 16
- $ T_5 $ scheduled from 16 to 28
- $ T_9 $ scheduled from 28 to 35

- **Processor 2 Schedule:**
- $ T_3 $ scheduled from 0 to 8
- $ T_7 $ scheduled from 8 to 19
- $ T_8 $ scheduled

The image depicts three Gantt charts representing task scheduling scenarios:

### Top Chart
- **T2**: Positioned from 0 to 3.
- **T6**: Positioned from 3 to 9.
- **T4**: Positioned from 9 to 12.
- **T3**: Positioned from 12 to 18.
- **T7**: Positioned from 18 to 27.
- **T8**: Positioned from 27 to 33.
- **T10**: Positioned from 33 to 48.
- **T1**: Positioned from 0 to 6.
- **T5**: Positioned from 6 to 12.
- **T9**: Positioned from 12 to 33.

### Middle Chart
- **T2**: Positioned from 0 to 2.
- **T3**: Positioned from 2 to 8.
- **T7**: Positioned from 8 to 18.
- **T8**: Positioned from 18 to 26.
- **T10**: Positioned from 26 to 40.
- **T4**: Positioned from 0 to 2.
- **T6**: Positioned from 2 to 8.
- **T1**: Positioned from 8 to 14.
- **T5**: Positioned from 14 to 20.
- **T9**: Positioned from 20 to 26.

### Bottom Chart
- **T2**: Positioned from 0 to 2.
- **T6**: Positioned from 2 to 8.
- **T5**: Positioned from 8 to 18.
- **T9**: Positioned from 18 to 27.
- **T8**: Positioned from 27 to 33.
- **T10**: Positioned from 33 to 44.
- **T4**: Positioned from 0 to 2.
- **T1**: Positioned from 2 to 8.
- **T3**: Positioned from 8 to 14.
- **T7**: Positioned from 14 to 27.

Each bar's length correlates with the timeframe allotted for each task. The visualization aids in understanding task overlapping and sequencing within various scheduling approaches.

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