Project Management

Chapter $8-$ Scheduling Projects

A manufacturing company is planning to use PERT to setup a project for a new production line. For this project, they have established the following activities, precedence relationships, and time estimates in days:

$\backslash$table$[[,$Immediate,,Most,$],[\backslash$table$[[$Activity$],[$a$]],$Predecessors,$\backslash$table$[[$Optimistic$],[8]],\backslash$table$[[$Likely$],[10]],\backslash$table$[[$Pessimistic$],[12]]],[$b$,--,6,7,9],[$c$,$b$,3,3,3],[$d$,a,10,15,20],[e,$d$,6,7,8],[$f$,$c$,9,10,11],[g,d,5,7,10],[$h$,e,f,14,15,16]]$

a$.$ Compute the expected duration and variance for each activity in the project.

b$.$ Determine the expected duration of each path in the project network.

c$.$ What is the standard deviation of the critical path?

d$.$ What is the probability of completing the project within $45$ days?

e$.$ What project completion time would give a $95\%$ probability of completing the project?