1. Early Start, Early Finish, Latest Start, Latest Finish (For Calculation, Refer To The Below AON Diagram)
Activity | Predecessor | Duration | ES | EF | LS | LF |
A | - | 2 | 0 | 2 | 0 | 2 |
B | - | 3 | 0 | 3 | 0 | 3 |
C | B | 1 | 4 | 5 | 4 | 5 |
D | A | 2 | 3 | 5 | 9 | 11 |
E | A | 1 | 3 | 4 | 3 | 4 |
F | C | 5 | 6 | 11 | 6 | 11 |
G | F | 3 | 12 | 15 | 12 | 15 |
H | G,D | 12 | 16 | 28 | 16 | 28 |
I | G | 7 | 16 | 23 | 16 | 23 |
J | I | 2 | 24 | 26 | 24 | 26 |
K | D | 7 | 6 | 13 | 12 | 19 |
L | K | 1 | 14 | 15 | 20 | 21 |
M | L | 4 | 16 | 20 | 22 | 26 |
N | J | 3 | 27 | 30 | 27 | 30 |
O | M,J | 1 | 27 | 28 | 27 | 28 |
2. Activity on Arrow
3. Activity On Node
4. Slack Of Activities (Refer To The Above AON Diagram for Calculation)
Activity | Predecessor | Duration | SL |
A | - | 2 | 0 |
B | - | 3 | 0 |
C | B | 1 | 0 |
D | A | 2 | 6 |
E | A | 1 | 0 |
F | C | 5 | 0 |
G | F | 3 | 0 |
H | G,D | 12 | 0 |
I | G | 7 | 0 |
J | I | 2 | 0 |
K | D | 7 | 6 |
L | K | 1 | 6 |
M | L | 4 | 6 |
N | J | 3 | 0 |
O | M,J | 1 | 0 |
5. Critical Paths
Critical Paths are highlighted in the AON diagram in red color. The paths are shown below. (Critial path is the chain with the least float, typically zero float).
Path A-E
Path B-C-F-G-I-J-N
Consider the following project activities: Calculate the expected time (te) for each activity. Draw an Activity on Node (AON) diagram to reflect the flow of these activities. Calculate the Early Start (ES), Early Finish (EF), Late Start (LS), and Late Finish (LF) for each activity. Calculate the slack for each activity. Identify all activities on the Critical Path. Use the data to calculate the probability the project will finish in 20 weeks (Hint: z-score). Activity A 8 с D E...
Consider the network described in the table below. Activity Immediate Predecessor(s) Pessimistic Probable Optimistic J -- 15 10 8 K -- 9 8 7 L J 10 6 5 M J 3 3 3 N K, M 9 5 1 O K, M 10 7 4 P L, N 10 8 3 Draw the network diagram and answer the following questions. (a) Calculate the expected duration of each activity. (b) Calculate the expected duration and variance of the critical path....
Draw the AON and AOA network for a given problem. Activity Predecessor B B C DE DE F, G, H
2. Consider the network described in the table below. Immediate Predecessor(s) Activity J K L M N O Р Pessimistic 15 9 10 3 9 10 10 J J KM KM LN Probable 10 8 6 3 5 7 8 Optimistic 8 7 5 3 1 4 3 Draw the network diagram and answer the following questions, DuC duUCULUU AabbLCU AOBOLcud Red E 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em... Sel Styles Edit Paragraph...
1. Consider the following project. Activity Duration (weeks)5 Immediate Predecessor(s) Cost (S) 1000 | 400 I 200 | 1200 | 500 | 700 | 1200 | 800 | 1800 | 1500 | 400 (a) Construct the activity-on-node (AoN) network for the relations among the activities in the (b) Using the activity-on-node (Ao) network developed in part (a), determine the critical path and the minimum time required to complete the project. Develop the earliest start and finish times, the latest finish...
From this schedule of activities: Activity Immediate Predecessor Activity Time A --- 4 B A 2 C B 3 D B 5 E A 1 F C, D 3 G E, F 2 a. Draw the PERT/CPM network b. Complete the forward and backward pass c. Determine the critical path d. Determine the total duration of the project.
Activity Predecessor Optimistic time Most likely time Pessimistic time A - 3 5 8 B - 4 6 10 C A,B 2 5 8 D B 3 5 9 E A,C 3 6 9 F C,E 1 3 5 G C,D 3 4 9 H D 4 6 10 I F,G 3 4 9 J H 2 4 6 A).Draw the project network b).what is the expected completion time of the project. c) after your calculation, if you find one...
QUESTION 1 G E. H. C A Finish Start D. Complete the network activity diagram using the table below to answer questions 1-15. The expected activity completion times are provided in days. Each question is 1 point. Most Probable Activity Optimistic Pessimistic A 7 B 12 C 5 12 7 E 10 15 20 6 9 18 G 6 13 H 11 What is the early start (ES) time for activity F? 13 12 10 None of the above are...
PERT Analysis: The following represents a project with four activities. All times are in weeks. Activity Immediate Predecessor Optimistic Time Most Likely Time Pessimistic Time A - 3 8 14 B - 8 8 8 C A 6 9 18 D B 6 11 17 According to the data in the above Table: What is the critical path? What is the minimum expected completion time for the project? According to the above Table, there are four activities in the project....
2. Consider the network described in the table below. Immediate Activity Predecessor(s)Pessimistic Probable Optimistic 15 10 8 K 9 8 7 L 10 6 5 M 3 3 3 N KM 9 5 1 O KM 10 7 4 P LN 10 8 3 Draw the network diagram and answer the following questions. (a) Calculate the expected duration of each activity. (b) Calculate the expected duration and variance of the critical path. (c) Calculate the probability that the project will...