Food delivery logistics pushes the boundaries of traditional logistics with new characteristics: very short times to delivery (<40mn), the use of a cloud of drivers, and deliveries route optimization taking into account stochastic future events. IFood is reinventing the way it runs logistics with new fields of machine learning applications including the repositioning of drivers to meet demand, dynamic pricing to manage driver supply and the estimation of logistic delivery times. We will analyse in detail how models of machine learning were built and deployed at scale to estimate delivery time of arrival, and kitchen preparation times, in order to improve final customer experience and reduce logistic costs.