Pallet transport apparatus for transporting pallets within a rack installation, which is oriented orthogonally with a longitudinal direction (x), a transverse direction (z) and a vertical direction (y), along a travel route with longitudinal transport routes in the x direction and transverse transport routes in the z direction, comprising - a chassis with a pallet pickup unit, - an x traveling mechanism for moving in the longitudinal direction (x) with drivable left x wheel units (22.1) and right x wheel units (22.2) which are arranged laterally on the left and right spaced apart in the x direction, - a z traveling mechanism for moving in the transverse direction (z) with drivable, spaced-apart, left z wheel units (32.1) and right z wheel units (32.2) which are arranged laterally on the left and right, - travel drive assemblies for the wheel units (22, 32), - with the x or z wheel units (22, 32) being able to be brought into contact with the travel route depending on the x or z travel direction, with - the x traveling mechanism /the x wheel units and the z traveling mechanism /the z wheel units being designed so as to be vertically moveable in the y direction mechanically independently of one another, - there being an x lifting device for the movement of the x traveling mechanism or of the x wheel units in the y direction, - there being a z lifting device for the movement of the z traveling mechanism or of the z wheel units in the y direction, - the x/z lifting devices (52, 54) being designed so as to be activatable in the y direction independently of one another, - characterized in that - each lifting device (52, 54, 56) has at least one rotatable disk cam (74, 75, 76) or at least one displaceable connecting link disk (34, 35) to which the respective traveling mechanism (20, 30) or the respective wheel units (22, 32) and/or the pallet pickup unit are coupled, wherein the geometry of the disk cams (74, 75, 76) or connecting link disks (34, 35) determines the size and the temporal profile of the mechanically independent movement of the respective traveling mechanism (20, 30)/of the wheel units (22, 32) or pallet pickup unit in the y direction, - all of the disk cams (74, 75, 76)/connecting link disks (34, 35) for the traveling mechanisms (20, 30)/wheel units (22, 32) or the pallet pickup unit are arranged on a rotatable shaft or on a sliding mechanism (45, 46), and the movement sequences for the change of direction/lifting of the pallet pickup unit with respect to the lifting routes, which are temporally coordinated with one another, in the y direction are stored in the geometry and the positional arrangement of the disk cams (74, 75, 76)/connecting link disks (34, 35), wherein the activation of the shaft or of the displacement mechanism takes place via at least one lifting drive assembly (50; 50.1, 50.2). - a chassis with a pallet pickup unit, - an x traveling mechanism for moving in the longitudinal direction (x) with drivable left x wheel units (22.1) and right x wheel units (22.2) which are arranged laterally on the left and right spaced apart in the x direction, - a z traveling mechanism for moving in the transverse direction (z) with drivable, spaced-apart, left z wheel units (32.1) and right z wheel units (32.2) which are arranged laterally on the left and right, - travel drive assemblies for the wheel units (22, 32), - with the x or z wheel units (22, 32) being able to be brought into contact with the travel route depending on the x or z travel direction, with - the x traveling mechanism /the x wheel units and the z traveling mechanism /the z wheel units being designed so as to be vertically moveable in the y direction mechanically independently of one another, - there being an x lifting device for the movement of the x traveling mechanism or of the x wheel units in the y direction, - there being a z lifting device for the movement of the z traveling mechanism or of the z wheel units in the y direction, - the x/z lifting devices (52, 54) being designed so as to be activatable in the y direction independently of one another, - characterized in that - each lifting device (52, 54, 56) has at least one rotatable disk cam (74, 75, 76) or at least one displaceable connecting link disk (34, 35) to which the respective traveling mechanism (20, 30) or the respective wheel units (22, 32) and/or the pallet pickup unit are coupled, wherein the geometry of the disk cams (74, 75, 76) or connecting link disks (34, 35) determines the size and the temporal profile of the mechanically independent movement of the respective traveling mechanism (20, 30)/of the wheel units (22, 32) or pallet pickup unit in the y direction, - all of the disk cams (74, 75, 76)/connecting link disks (34, 35) for the traveling mechanisms (20, 30)/wheel units (22, 32) or the pallet pickup unit are arranged on a rotatable shaft or on a sliding mechanism (45, 46), and the movement sequences for the change of direction/lifting of the pallet pickup unit with respect to the lifting routes, which are temporally coordinated with one another, in the y direction are stored in the geometry and the positional arrangement of the disk cams (74, 75, 76)/connecting link disks (34, 35), wherein the activation of the shaft or of the displacement mechanism takes place via at least one lifting drive assembly (50; 50.1, 50.2).