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PERT Chart: Critical Path Determination with Dijkstra's Algorithm, Study notes of Algorithms and Programming

How to determine the critical path in a pert chart using dijkstra's algorithm. The steps to calculate the shortest and longest paths from the start to the finish of a project, with a given pert chart as an example. It also lists all the simple paths and their total distances.

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

koofers-user-vhn
koofers-user-vhn 🇺🇸

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Performance Evaluation and Review Technique (PERT) Chart
Critical Path Determination as a Graph Problem:
Find the Longest Path from Start to Finish.
5
8
2
dummy
9
Finish
exterior
Prepare
lot
Lay
foundation
Erect
external
frame
Erect
roof
3
Install
plumbing
External
walls
7
Cover
roof
Interior
walls, floor
ceilings
5
Finish
interior
0
1
2
3
5
4
8
7
6
9
10
3
4
10
Printed 2020/11/30 at 01:07
pf2

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Performance Evaluation and Review Technique (PERT) Chart

Critical Path Determination as a Graph Problem:

Find the Longest Path from Start to Finish.

dummy

Finish

exterior

Prepare

lot

Lay

foundation

Erect

external

frame

Erect

roof

Install

plumbing

Install

electrical

wiring

External

walls

Cover

roof

Interior

walls, floor

ceilings

Finish

interior

Printed 2020/11/30 at 01:

Minimum Path: Available from Dijkstra’s Algorithm Dijkstra's algorithm Starting from 0 0 to 1 (3) 1 to 2 (4) 2 to 3 (10) 3 to 4 (3) 4 to 8 (2) 3 to 7 (7) 3 to 6 (7) 3 to 5 (9) 8 to 9 (5) 7 to 10 (5) Total distance: 55 Path end-point to trace from: 10 10 <-- 7 <-- 3 <-- 2 <-- 1 <-- 0 Total distance: 29 Longest path requires examining all paths: Listing of All Simple Paths: 0 to 1 (3) 1 to 2 (4) 2 to 3 (10) 3 to 4 (3) 4 to 8 (2) 8 to 9 (5) 9 to 10 (8) Total: 35 0 to 1 (3) 1 to 2 (4) 2 to 3 (10) 3 to 5 (9) 5 to 8 (1) 8 to 9 (5) 9 to 10 (8) Total: 40 0 to 1 (3) 1 to 2 (4) 2 to 3 (10) 3 to 6 (7) 6 to 8 (1) 8 to 9 (5) 9 to 10 (8) Total: 38 0 to 1 (3) 1 to 2 (4) 2 to 3 (10) 3 to 7 (7) 7 to 10 (5) Total: 29 Printed 2020/11/30 at 01: