Use the decreasing time algorithm to create a priority list for the digraph below. T1 (4) T4 (8) T7 (10) T2 (12) T5 (2) T8 (7) End ТЗ (7) T6 (8) T9 (8) Priority list: Give the priority as a list of task numbers. For example, you'd enter something like: 1,2,3,4,5,6,7,8,9

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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**Transcription for Educational Website**

**Task: Prioritizing Tasks Using the Decreasing Time Algorithm**

The objective is to use the decreasing time algorithm to establish a priority list for the directed graph (digraph) displayed below.

**Diagram Overview:**

In this diagram, each node represents a task labeled T1 through T9, with numbers in parentheses indicating the task duration. Arrows denote task dependencies, illustrating the sequence in which tasks must be completed. The "End" node marks the completion of all tasks.

**Task Details:**
- T1 (4)
- T2 (12)
- T3 (7)
- T4 (8)
- T5 (2)
- T6 (8)
- T7 (10)
- T8 (7)
- T9 (8)

**Instructions:**
Using the decreasing time algorithm, arrange these tasks in a priority list based on descending order of task duration.

**Priority List Input:**

[List Entry Box]

Example of input format: 1,2,3,4,5,6,7,8,9

Create your priority list by ranking the tasks based on their duration, from longest to shortest. Feel free to rearrange tasks with the same duration according to the specific constraints of your project's workflow.
Transcribed Image Text:**Transcription for Educational Website** **Task: Prioritizing Tasks Using the Decreasing Time Algorithm** The objective is to use the decreasing time algorithm to establish a priority list for the directed graph (digraph) displayed below. **Diagram Overview:** In this diagram, each node represents a task labeled T1 through T9, with numbers in parentheses indicating the task duration. Arrows denote task dependencies, illustrating the sequence in which tasks must be completed. The "End" node marks the completion of all tasks. **Task Details:** - T1 (4) - T2 (12) - T3 (7) - T4 (8) - T5 (2) - T6 (8) - T7 (10) - T8 (7) - T9 (8) **Instructions:** Using the decreasing time algorithm, arrange these tasks in a priority list based on descending order of task duration. **Priority List Input:** [List Entry Box] Example of input format: 1,2,3,4,5,6,7,8,9 Create your priority list by ranking the tasks based on their duration, from longest to shortest. Feel free to rearrange tasks with the same duration according to the specific constraints of your project's workflow.
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