Test 12c: Influence of congestion
PASS1. Definition
Three rooms in a row, 10 m, 10 m and 5 m long and 10 m wide, are joined by two identical bottlenecks, each 1 m wide and 0.2 m long. 150 agents of the RiMEA standard population, with no response time, start in the left 5 m of room 1. Their goal lies at the right edge of room 3. The background: hand calculations treat the flow as a function of bottleneck width, while a microscopic simulation also captures interactions in the queue in front of a bottleneck. The test determines the number of agents in rooms 1 and 2 over time and the flows through bottlenecks 1 and 2.
Source: RiMEA 4.1.1, Test 12c, p. 40, Fig. 14. 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 names no values and no pass limit. It asks for the time course of the agent numbers in rooms 1 and 2 and for the flows in bottlenecks 1 and 2 to be determined and documented.
Our criterion: Conservation of agents (RiMEA sets no criterion); N(t) per room and bottleneck flows reported
RiMEA 4.1.1 sets no pass criterion for this test; it asks for N(t) per room and the flow per bottleneck to be documented. Documentation test: only conservation of agents is asserted; N(t) and flows are reported.
4. Our result
Status: PASS
Test cases of this row
| Case | Status | Result | Run |
|---|---|---|---|
test_ | PASS | bottleneck_flow_and_room_2_peak (p/s) flow_b1_p_per_s: 1.623 flow_b2_p_per_s: 1.587 specific_flow_b1_p_per_m_s: 1.623 specific_flow_b2_p_per_m_s: 1.587 peak_agents_room_2: 19 max_conservation_residual: 0 | n = 150 · seed 42 |
test_: conservation: at every frame, agents in room 1 + bottleneck 1 + room 2 + bottleneck 2 + room 3 + evacuated = total spawned; RiMEA sets no criterion, flows and room-2 peak are reported onlycongestion_ at_ bottlenecks
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 D17): only conservation is asserted. At every sampled frame the agents in rooms 1 to 3 and in the two bottlenecks, plus the agents already evacuated, add up to 150. The flow through each bottleneck and the peak number of agents in room 2 are reported and are not asserted. The notebook plots the agent count per room over time and the cumulative crossings at each bottleneck.
- The flow is the number of agents minus one, divided by the time between the first and the last first-crossing of the bottleneck’s measurement line. RiMEA does not define a flow measure.
- The scenario file deviates slightly from Fig. 14: room 2 is about 9.8 m and room 3 about 4.8 m long, the bottlenecks are about 1.0 m wide, and the goal is a strip at 24.1 to 24.8 m rather than at the right edge.
- Agents have one desired speed (1.2 m/s), the suite’s default body radius of 0.15 m and one seed (42). RiMEA’s standard population (section 3.2.4, p. 16) defines sex and age; speeds follow from age (Fig. 3, p. 13) and body size is not defined.
Model: CollisionFreeSpeedModel
- Test function: tests/vv/test_rimea.py::test_congestion_at_bottlenecks
- Scenario file: Rimea-12c-congestion-influence.zip