Week 8 Queue Lab: Specify the evidence for "stuck"

Work out what a person waiting in the Thursday display-board incident could actually have used to tell a stuck queue from a slow one.

12 April 2027

The Thursday incident looked stuck to everyone in line and wasn’t. This lab asks what evidence would have told them otherwise, and how long they should reasonably have waited for it before leaving.

Before the lab#

Reread the incident report from this week’s lecture carefully — note exactly what information reached the waiting crowd, and what reached only staff.

In the lab#

List everything a person standing in that Thursday queue could actually observe: the display board’s number, whether the physical line was moving, whether anyone was visibly served, whether staff were present and attending to anyone. Mark which of these actually changed during the forty-minute jam and which stayed constant in a way that looked like evidence of a stall.

Write a specific rule: after how many minutes of no visible change should someone in that queue reasonably conclude it is stuck rather than merely slow? Defend your number using only the evidence you listed — not a general intuition about patience.

Then apply the same question to the real system you have been tracking. Name one specific, observable signal that would tell you it had stopped rather than slowed, and say whether that signal is currently visible to someone waiting in it, or only to staff.

Afterwards#

Keep your stuck/slow rule. Week 9 turns to a related failure: not a queue that stops, but one where people leave it before being served, and what that departure costs a system that measures itself only by the people who stay.