1. An elevator control apparatus for allocating cars to respond to hall calls based on estimated car delay and for controlling operation of the cars, comprising: an input data conversion means for converting traffic data, including data indicating positions of the cars, data indicating direction of movement of the cars, and data indicating existence of car calls and hall calls into a form compatible with a neural network; a neural network including an input layer for receiving data from said input data conversion means, an output layer for outputting a signal representative of an estimated delay of the cars, and an intermediate layer provided between the input and output layers, each of the input, output and intermediate layers having a plurality of nodes interconnected by weighting factors; an output data conversion means for converting the estimated car delay output from the output layer of said neural network into control data; learning data creation means for storing the input data and the estimated car delay for a predetermined hall at a predetermined time during operation of the elevator, for storing a car delay when the car stops at or passes the predetermined hall as an actual car delay, and for outputting the stored input data, the estimated car delay and the actual car delay as one learning data pair; a correction means for correcting the weighting factors based on the learning data pairs; allocation means for calculating evaluated values based on estimated car delay signals represented by control data output from said output data conversion means and for allocating a selected car having a minimum evaluated value to a hall call; and means for dispatching the allocated car to a floor corresponding to the allocated hall call.