An apparatus for moving from position to position along coke ovens during the production of coke which is capable of stopping at its target stop position with high accuracy and without deteriorating its operating efficiency. In the mobile apparatus, a travel pattern is stored in a computer for controlling the apparatus depending on a target stop position of the apparatus and its travel direction immediately before its stop. As a result, any stop error due to the particular conditions inherent in each target stop position can be eliminated. The computer may include a program for correcting the travel pattern depending on the stop error if any.