A plurality of express shuttle elevators S1-S4 exchange elevator cabs at a transfer floor 26 with local elevators L1-L10 by means of a carriage 107, the casters of which 93 are guided by tracks 70-83. The transfer floor has linear induction motor (LIM) primary segments 60-67 disposed on the transfer floor; the carriage has a LIM secondary 128 thereon for propulsion. The carriages can be locked 91, 92 to the transfer floor for loading, and cabs can be locked 131 onto the carriages for stability when being moved. A controller (FIGS. 10-13) keeps track of the progress of the cabs from one elevator to another.