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Out of my entire computer science course Queuing theory stuck with me the most. It stuck with me because it can be proven using fairly simple mathematical probability models that queue lengths grow exponentially with processor busyness regardless of processing time or inter arrival time.

Mark Levison@mlevison.bsky.social

A hospital at 100% bed capacity can't absorb demand, faster triage barely helps. Same trap when people are kept maximally busy: no slack means no ability to adapt or innovate. "No resource idle" is the biggest generator of waste, Eli Goldratt.

That’s quite a surprising and counterintuitive result and has implications across almost every aspect of management. Even if managers understand how systems behave when they get busy, it *looks bad* that systems aren’t busy so the system tends toward high busyness.

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