Why is the critical path not the shortest path through a network, as some people tend to believe?
Yes the critical path is not the shortest path through a network. Infact it's the longest-duration path through the network.
According to Nous.org:
"Critical Path Analysis is a type of network analysis used in operational research. It is used for scheduling projects by analyzing the activity into separate jobs each of whose duration is estimated and between which precedence relations are established. A project network is thus produced within which a critical path can be determined on which lie those activities whose completion is critical for the successive phases of the project."
Hence Critical Path can be best ...
400 words explain in detail the differences in structure and purpose of shortest and critical paths.