Over here in the Netherlands - and I think it originated in the UK - we have JustEat (http://www.just-eat.co.uk/), a company that connects local food restaurants behind a single web interface. If I'm correct, the restaurants still do their own deliveries; they just get orders in from another single source. It also seems that JustEat sponsors the restaurants with things like insulating delivery bags, scooters, etcetera.

I for one don't see how this startup offers anything better than that structure. Maybe a shared 'delivery guy' pool, since some restaurants / takeaway places will be more popular than others, where the others have such a low volume they couldn't support a delivery guy of their own.