The one rule

nobody argues with

SLOP2710 · Week 7 · Adaeze and Priya

Six people, a few minutes apart

sprained wrist · sore throat · cut hand

back pain · chest pain · a rash

Two bays. Ninety seconds to decide the order.

W category 1
—
W category 2
—
W category 3
—
category 1 waiting over 30 min
—
sorted down a day
—
What to watch: Under arrival order, more than half the people having heart attacks wait over thirty minutes, and nobody in the room looks like they are in trouble. Switch to the card and that falls below one per cent. Then leave it on the card and drag the accuracy down: category 3's wait gets shorter, not longer, while a pink patient appears with a chest pain, a category 3 card, and a wait designed for a sprained wrist.

Every other priority rule gets resisted.

Five classes, and a target each

CatMeaningTarget
1immediately life-threateningimmediate
2imminently life-threatening10 min
3potentially life-threatening30 min
4potentially serious60 min
5less urgent120 min

The target is what turns a wait

into a failure.

Where it came from

trier — to sort

Larrey, Napoleon’s surgeon: treat by severity of wound, disregard rank.

And the part nobody discusses

Mass-casualty tags: immediate · delayed · minor · expectant

Sickest-first and most-lives-saved are different rules.

In a disaster they disagree.

The same machine, elsewhere

  • ambulance dispatch — a category assigned over the phone, before anyone has seen the patient
  • P1 to P4 — the same scale with servers instead of patients
  • maintenance contracts — line down is a category 1
  • safety queues — classified on arrival, at a scale nobody can audit

Priya’s half

The category is not given. It is produced.

Three documented failure modes

Atypical presentation sorted down — women having heart attacks is the canonical study

Pain under-read in people accustomed to not being believed

The bottom category is unbounded — last week’s trolley, worse consequences

And a fourth, belonging to the institution

The classifier is an input to the performance report.

A borderline case carded down is a borderline case that cannot breach.

15% wrong. How much does it degrade?

Category 1 mean: 6 → 9 minutes

Category 3 mean: 98 → 91 minutes (better!)

Category 1 waiting over 30 min: 0.7% → 3.0%

The cost of a bad classifier

does not spread

Two things to take with you

“92% accurate” tells you nothing. Ask for the confusion matrix. Ask which cell is the one that kills.

A cleverer rule or a better measurement? A department choosing between them is usually looking at a false choice.

Next: sorting by what you can pay