Provable optimisation, at operational speed.

Z3-certified optimal where optimality is provable (5/5 on exact instances); 3.05% mean from the world's best-known on the public routing benchmark, beating Google OR-Tools on every instance - with the margin widening on the hardest problems. Every result is certificate-verifiable; the method is proprietary. Full report: TR-2026-01.

What we optimise for an airline

What runs live on the engine today, and what is a scoped enterprise build.

Aircraft routing & turnaround
Live engine

Sequence flights to tails respecting minimum turnaround, curfews and station times, as a time-windowed routing problem the engine solves to the best run in seconds and re-solves in milliseconds.

Airport ground-fleet scheduling
Live engine

Catering trucks, fuel bowsers, baggage tugs, de-icing rigs and crew buses across a hub, a multi-vehicle, time-windowed, capacitated schedule: exactly what the API solves and certifies today.

Disruption (IROPS) recovery
Live engine

When the day breaks, re-optimise the affected routing and assignments from the live state in milliseconds, the engine's defining strength is that re-planning costs the same as planning.

Crew transport & logistics
Live engine

Moving crews between hotels, terminals and aircraft on time, at lowest cost, a routing problem with hard time windows, solved and re-solved live.

Fleet & gate assignment
Enterprise build

Assignment-class problems we scope and model on the same energy-optimisation core, validated against your historical schedules before any go-live.

Crew pairing & rostering
Consultative / roadmap

A distinct set-partitioning class. We engage consultatively, model it on the core, and prove the result against your incumbent before deployment, never claimed as solved before it is measured.

Why airlines engage us

The operational painWhat the engine delivers
IROPS recovery is slow, controllers rebuild by hand while costs compoundMillisecond re-optimisation from the live state; options on screen before the next decision
Ground-fleet schedules are built once and degrade all shiftContinuous re-optimisation, affordable to re-run on every gate change or delay
Optimisation vendors are black boxes you cannot auditEvery solution is a verifiable certificate; quality is benchmarked publicly, not asserted
Data-sovereignty and security constraints block cloud toolsOn-premise / private-cloud deployment; your operational data never leaves your tenancy
Request an enterprise engagement Or test the open solver API →
.LEKOLA CORTEX™ Aviation · enterprise operations optimisation · provably optimal where provable · on-premise deployment available
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