From: https://docs.oracle.com/cd/E17462_01/Web_Access/Help/en/Projects/Tasks/pm_cpm.htm [1]
The longest path is broken when activities are no longer driven by relationships; that is, when activity dates are driven by constraints or resource leveling.
Most construction jobs have resource limitations, consumable resources limitations, contractual constraints and some have spatial resource constraints as well as financial constraints. Current Longest Path calculations do not take into consideration all these real constraints that can drive/delay your schedule and therefore not suitable under these circumstances.
http://www.mediafire.com/view/u16g8w3wy9o12dz/Bricks_Installation_Job.pdf [2]
The above reference provides a short example of how lack of construction materials can delay a construction job. It is simple if there are not enough materials the activities are stopped and until there are enough materials to continue.
It is a job at Culebras Island, the deliveries are limited to space available on the Ferry, you got a preliminary schedule but it might be delayed, even if not delayed you still must plan for limited deliveries, you must level non-renewable resources.