Asked by Himani Patel on Jul 01, 2024
Consider the network described in the table below.
Activity Immediate Predecessor(s) Pessimistic Probable Optimistic J −−15108 K −−987 L J 1065 M J 333 N K, M 951 O K, M 1074 P L, N 1083\begin{array} { | c | c | c | c | c | } \hline \text { Activity } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} & \text { Pessimistic } & \text { Probable } & \text { Optimistic } \\\hline \text { J } & - - & 15 & 10 & 8 \\\hline \text { K } & - - & 9 & 8 & 7 \\\hline \text { L } & \text { J } & 10 & 6 & 5 \\\hline \text { M } & \text { J } & 3 & 3 & 3 \\\hline \text { N } & \text { K, M } & 9 & 5 & 1 \\\hline \text { O } & \text { K, M } & 10 & 7 & 4 \\\hline \text { P } & \text { L, N } & 10 & 8 & 3 \\\hline\end{array} Activity J K L M N O P Immediate Predecessor(s) −−−− J J K, M K, M L, N Pessimistic 15910391010 Probable 10863578 Optimistic 8753143 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 be completed in fewer than 30 time units.
Expected Duration
The estimated time needed to complete a project or task, often considering various uncertainties or risk factors.
Critical Path
A continuity of necessary tasks in a project's agenda that have to be accomplished on time for the project to meet its proposed finalization date.
Pessimistic
An attitude or perspective that tends to see the worst aspect of things or believe that the worst will happen.
- Acquire knowledge of the core concepts and numerical procedures pertinent to the PERT methodology, such as computing expected time, variance, and pinpointing critical pathways.
- Execute variance analysis to determine the potential risks to the project schedule.
- Determine the chance of finalizing a project in the allocated time period through the application of standard deviation and variance.
Learning Objectives
- Acquire knowledge of the core concepts and numerical procedures pertinent to the PERT methodology, such as computing expected time, variance, and pinpointing critical pathways.
- Execute variance analysis to determine the potential risks to the project schedule.
- Determine the chance of finalizing a project in the allocated time period through the application of standard deviation and variance.