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How contraflow speeds up assisted mass evacuation

Transportation Research Part A: Policy and Practice 189 (2024) 104197 · doi.org/10.1016/j.tra.2024.104197 · open access (CC BY 4.0)

During a bushfire, the bottleneck is rarely the number of shelters - it's road capacity. This study builds an optimisation model that reverses selected road lanes (contraflow) to double their capacity, while explicitly scheduling the elderly and people with disabilities. Tested on Australia's 2013–14 Gippsland bushfires, it clears far more people, far faster. Explore the network below.

10
affected communities
2,708
residents to evacuate
3
designated safe-refuge shelters
12
time steps · 15 min each

The case study - Gippsland, 2013–14

Bushfire spread (orange) with direction arrows, the ten affected communities (red), three shelters (green triangles) and the road network.

Gippsland bushfire case-study area map
Fig. 4a - Case-study area and affected/safe points. Shahparvari, Mohammadi, Peszynski & Rickards (2024), Transportation Research Part A 189, 104197 (CC BY 4.0).

The Gippsland evacuation network

A schematic of the same network. Communities (red) evacuate through transit nodes to shelters (green). Scrub through the 3-hour window, or toggle contraflow to see routes double in capacity and the queue drain.

t = 1 / 12
280
evacuees cleared
10%
of population
2,708
will reach shelters
−60%
clearance time vs no-contraflow
affected community shelter transit node evacuee flow contraflow lane (2× capacity)

What actually moves the needle

A variation test shows edge (road) capacity dominates - far more than route capacity or the time window.

Edge capacity −20%
−7% evacuees
Route capacity +6%
+4% evacuees
Time steps −20%
−1% evacuees
2,708 vs 1,787

Contraflow on vs off

With contraflow the full population is cleared; without it, evacuations fall to ~1,787 and split unevenly across shelters (Churchill 45% · Traralgon 36% · Rosedale 18%).

84% · −60%

Shelter arrivals · clearance time

Where the network can flex with contraflow, 84% of the population reaches shelters and total clearance time improves by up to 60% - directly reducing exposure and potential fatalities.

Solved at scale with an accelerated Branch & Price

The model is a large mixed-integer non-linear program. A custom decomposition solves real-world sizes where a commercial solver stalls.

STAGE I
Dantzig–Wolfe
Decompose into a master problem + route sub-problems.
STAGE II
LP relaxation
Convexify to get a tight bound via the dual.
STAGE III
Column generation
Price out only the routes worth adding.
STAGE IV
DBNSA search
A dominance-based neighbourhood search finds good columns fast.

vs commercial solver

CPLEX fails on the large instances entirely; the accelerated Branch & Price returns optimal solutions where it cannot.

vs the state of the art

14.26% faster than base B&P at the same optimum, and 3.53% better solutions with 12.03% less compute than Reihaneh & Ghoniem (2019).

What it means for emergency planners

Prioritise road capacity

Invest in the edges that carry the most evacuees. Capacity on key roads reduces congestion and clearance time more than adding shelters or transit nodes.

Pre-plan contraflow

Identify which two-way roads to reverse, and when. Contraflow is the single most effective lever for draining the queue during a surge.

Schedule assisted evacuation

The elderly and people with disabilities need vehicles, time and routing planned explicitly - the model assigns them first to avoid being stranded.

Place shelters for balance

Extra shelters don't raise totals much, but the right placement balances the load and shortens the longest trips.

Cite: Shahparvari, S., Mohammadi, M., Peszynski, K., & Rickards, L. (2024). How contraflow enhances clearance time during assisted mass evacuation – A case study exploring the Australian 2013–14 Gippsland bushfires. Transportation Research Part A: Policy and Practice, 189, 104197. https://doi.org/10.1016/j.tra.2024.104197. Open access under CC BY 4.0. Interactive visualisation is an original schematic of the case-study network, not a reproduction of the article figures.

About this tool

Research: Contraflow Evacuation

The concept

A research showcase on reversing road lanes to speed regional bushfire evacuation.

How it works

Network flow models pick which links to reverse to maximise evacuee throughput in time.

Winning strategy

Contraflow helps most on a few critical arterials - see the maps.

maximise evacuees cleared within the safe window
EvacuationContraflowNetwork flowBushfire