“…However, in view of the practical importance of designing optimal MAFs, there are still many heuristic methods that have been proposed in the past decade [1-4, 6, 8-9, 16-22]. Among the proposed file organization schemes for PMQs, the Cartesian product (CP) file concept proposed by Lin, Lee and Du [19] is one which has been shown to be very effective for PMQs [12][13]19]. Therefore, many efforts have been made in recent years to solve the problem of allocating a CP file onto a multi-disk system to best facilitate PMQs [2-3, 5-7, 10-11, 16-17, 23].…”