Test 12a: Position of the goal behind a bottleneck

1. Definition

Two rooms are joined by a single bottleneck. 150 agents of the RiMEA standard population, with no response time, start in room 1. Their goal lies in room 2 at a distance a behind the bottleneck. Several runs vary a from 0 to 10 m, and the time needed to clear room 1 is determined as a function of a. The background: when agents are removed on reaching their goal, the goal’s distance to the last bottleneck can change the evacuation time.

Source: RiMEA 4.1.1, Test 12a, p. 37, Fig. 11. This is a paraphrase, not the text of the standard.

Reference: RiMEA e.V. (2025). RiMEA: Richtlinie für Mikroskopische Entfluchtungsanalysen / Guideline for Microscopic Evacuation Analysis, version 4.1.1. https://rimea.de/ (Page numbers are the page numbers of the bilingual guideline (n / 56).)

2. Scenario

Scenario figure from the executed notebook.

3. What to expect

RiMEA describes the usual behaviour: the evacuation time is shortest when the goal sits directly behind the last bottleneck, and it grows with a until it reaches a constant value. RiMEA sets no pass limit.

Our criterion: Room-1 clearance time (last occupant leaves room 1) increases with goal distance a and levels off

4. Our result

Status: PASS

Test cases of this row

• test_room1_clearance_time_grows_with_goal_distance: comparison over a in [0.2, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 9.8] m: time(a >= 1.0 m) > time(a = 0.2 m) for every a; mean time(a >= 4.0 m) >= time(a = 1.0 m)

Result figure from the executed notebook.

Result figure from the executed notebook.

5. Our implementation

Deviations from the standard:

• The pass rule is the suite’s own (decision D21): every a of 1 m or more clears room 1 later than a = 0.2 m, and the mean over a of 4 m or more is not below the value at a = 1 m.
• The smallest goal distance is 0.2 m, because the goal is a 0.2 m wide strip.
• All agents walk at one constant desired speed of 1.2 m/s; RiMEA’s standard population derives speeds from age.
• Agents use the suite’s default body radius of 0.15 m and one seed (42). RiMEA’s standard population defines sex and age only, not body size.

Model: CollisionFreeSpeedModel

• Test function: tests/vv/test_rimea.py::test_room1_clearance_time_grows_with_goal_distance
• Scenario file: Rimea-12a-goal-position.zip

6. Our notebook

• Executed notebook (HTML)
• Notebook source (.ipynb) on GitHub