Mean and variance values are given below.
Task | O | M | P | Te | Var^0.5 | Variance |
J | 8 | 10 | 15 | 10.5 | 1.166667 | 1.361111 |
K | 7 | 8 | 9 | 8 | 0.333333 | 0.111111 |
L | 5 | 6 | 10 | 6.5 | 0.833333 | 0.694444 |
M | 3 | 3 | 3 | 3 | 0 | 0 |
N | 1 | 5 | 9 | 5 | 1.333333 | 1.777778 |
O | 4 | 7 | 10 | 7 | 1 | 1 |
P | 3 | 8 | 10 | 7.5 | 1.166667 | 1.361111 |
Activity | ES | EF | LS | LF | Slack |
J | 0 | 10.5 | 0 | 10.5 | 0 |
K | 0 | 8 | 5.5 | 13.5 | 5.5 |
L | 10.5 | 17 | 12 | 18.5 | 1.5 |
M | 10.5 | 13.5 | 10.5 | 13.5 | 0 |
N | 13.5 | 18.5 | 13.5 | 18.5 | 0 |
O | 13.5 | 20.5 | 19 | 26 | 5.5 |
P | 18.5 | 26 | 18.5 | 26 |
Critical path is JMKP with duration 26.
Variance of critical path = 2.8333
SD of critical path = (2.8333)^0.5 =1.6832
2. Consider the network described in the table below. Immediate Predecessor(s) Activity J K L M...
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....
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...
tual code de a Activity Predecessor Normal time A 2 B 3 C B A С 5 G. F H 15 HH 2 D И N M, J 1 - Calculate early start (ES), early finish (EF), late start (LS) and late finish (LF) for each activity - Draw Activity on Arrow network (AOA) - Draw Activity on Node network (AON) - Calculate slack of each activity - Determine the critical paths. There must be at least 2 critical paths...
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...
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Assignment for week 5Given the following information, draw the project network. Compute the early, late and slack times for the project network. which activities are on the critical path have only the start or finish of the activity on the critical path?ID duration finish to start finish to start additional lag lag predecessor lag Relationship A 2 none 0 none 0B 4 A 0 none 0C 6 A 0 finish-finish C to F 7D 8 A 0 none 0E 18...
QUESTION 2: (20 marks) 2. Critical Path Method (CPM) is a network diagramming technique used to predict total project duration and to determine the critical path. a) Based on the table provided, create the CPM network diagram. Analyse and show the Early Start (ES), Early Finish (EF), Late Start (LS), Late Finish (LF) and the Float/Slack duration. (14 marks) b) Analyse the diagram, state and circle the Critical Path clearly. (6 Marks) Activity Predecessor Duration A 6 B A 7...
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Use the network activity diagram and table below to answer questions 45-53. Activity Optimistic Most Probable Pessimistic A 5 7 B 3 5 7 C 1 2 9 5 E 3 4 2 3 10 G 6 7 14 H 4 12 B G E H. C A. Finish Start F D Using the three time estimate approach, what is the value of uC? O 6 O4 None of the above are correct Use the network activity diagram and table...