CDMA cellular communication system using frame offset distribution of all base stations to avoid traffic peak

In a CDMA communication system, wherein mobile stations transmit frames at timing offset from each other according to a frame offset value, a base station controller determines a distribution of frame offset values according to usage counts of the frame offset values simultaneously used by all wireless base stations and transmits a message to a requesting base station, containing the offset distribution. The requesting base station is responsive to the transmitted message for selecting a frame offset value according to the offset distribution contained in the message.