1. A travel control method for a mobile robot system comprising a plurality of mobile robots, a control station for controlling said mobile robots and radio communication apparatus for communicating between each of said mobile robots and said control station, each of said mobile robots having a map memory for storing travel map information, means for determining a best travel route to a destination based on said travel map information, and at least one sensor mounted on each of said robots for detecting said best travel route, said travel control method comprising the steps of: designating by means of said control station a destination for each of said mobile robots; communicating said determinations to said mobile robots via said radio communication apparatus; determining within each of said mobile robots said best travel route based on said travel map information read out from said map memory when said designation has been designated by said control station; transmitting from each of said mobile robots to said control station a request to reserve each position on said best travel route determined by said mobile robot; reserving in said control station said best travel route for each of said mobile robots based on said reservation request from each of said mobile robots; moving each of said mobile robots automatically along said reserved best travel route, each of said mobile by the at least one sensor; storing data indicative of the travel configuration of said mobile robot and data indicative of unidirectional travel, said travel configuration including transverse movement and forward and backward movement; and controlling the travel of the mobile robot according to the contents of said travel state memory.