Advanced Project Network Analysis and Scheduling Exercises

Here are some advanced exercises that delve deeper into project network analysis and scheduling:

Exercise $1$: Resource$-$Constrained Project Scheduling

A project has the following activities, durations, resource requirements, and precedence relationships:

$\backslash$table$[[$Activity$,$Duration $($days$),$Resource Type A$,$Resource Type B$,$Predecessors$],[$A$,4,3,2,-],[$B$,6,2,4,-],[$C$,5,1,3,$A$],[$D$,7,4,2,$B$],[$E$,3,2,1,$C$,$ D$],[$F$,4,3,3,$A$],[$G$,2,1,2,$E$,$ F$]]$

Resource Availability:

Resource Type A: $6$ units per day

Resource Type B: $8$ units per day

Tasks:

Draw the network diagram $($Activity$-$on$-$Node$).$

Develop an initial schedule using the Early Start $($ES$)$ schedule.

Apply resource leveling techniques to create a resource$-$feasible schedule, considering both resource types. Use the following priority rules:

a$)$ Shortest Activity Duration First.

b$)$ Activity with the least slack.

Compare the project durations resulting from the different priority rules.

Discuss the impact of resource constraints on the project schedule and critical path.