The observation of the Toyota Production System, was that we should make quality non-negotiable and then observe the system that emerges.
We let the system PULL work through it, rather than attempting to PUSH. In this way, we can make observations and improvements without applying negative pressure (that results in waste) on any given work center. Raw materials are only released into the process when the previous batch has nearly been consumed, regardless of some manager's desires.
The insight of early Agile practices, was that we might be able to use Stories as a metaphor for Raw Materials and the system we're working within converts those raw materials into something valuable to the customers and/or business.
There are a number of good reasons this metaphor doesn't fit perfectly, but one of the biggest ones is that while both manufacturing and software development can be creative processes, software development represents a much higher percentage of creative work than operating a cell in a generally well-defined production process.
The Kanban boards in Software Workflows were originally intended to make visible the actual throughput of a team, and help us resist releasing new stories into production if the team hasn't yet digested the previous set.
I've definitely seen environments that use these tools with little to no comprehension as to where (or why) they came from and I suspect that has become more of the norm as I've withdrawn into my own little corner of the universe.
If any of this sounds interesting, I highly recommend the book, "The Goal"