Ranking Theorem requires two assumptions, which are both violated in this context:
1) The projects are independent
2) Not all project need completion to achieve success (i.e. you can select a subset of projects)
Here, the failure of one part leads to the failure of the whole project, and all parts of a project need completion at some point in time. The task at hand is thus to select the order of parts of projects to maximize the overall gain over many projects.
Comments
Ranking Theorem requires two assumptions, which are both violated in this context: 1) The projects are independent 2) Not all project need completion to achieve success (i.e. you can select a subset of projects)
Here, the failure of one part leads to the failure of the whole project, and all parts of a project need completion at some point in time. The task at hand is thus to select the order of parts of projects to maximize the overall gain over many projects.