Systems and methods are provided for deriving a platelet product from a plurality of buffy coats. A plurality of buffy coats are separately collected, for example, using a conventional floor centrifuge. Plasma and/or a platelet additive solution may be added to the buffy coats. The buffy coats are pooled into a container and conveyed into a centrifuge or are sequentially conveyed into the centrifuge without being pooled, where they are continuously processed to separate platelets from the other cellular blood components. The separated platelets are conveyed out of the centrifuge as a platelet product, which may be passed through a leukocyte removal filter to reduce the white blood cell content of the platelet product. By continuously separating the buffy coats, fewer buffy coats are required to produce a single-dose platelet product, while also allowing for the derivation and collection of a plurality of single-dose platelet products.