A method for memory management in a mass storage device, comprising the steps of providing a managed memory area (stockling) of s blocks that can be moved and stored in two parts to prevent fragmentation; repeatedly moving each of stockpiles 1,2, . . . , i-1 one block to the right until all stockpiles to the right of stockpile i have moved si blocks, or the left part of the rightmost stockling to the end of the free area (without changing the order between the blocks); returning the contiguous si blocks area beginning where the rightmost stockling began before its leftmost part was moved; locating the rightmost stockling that is stored in one piece (it is either the rightmost stockling itself or the stockling to the left of the rightmost stockling) and moving it to the location of the stockling to be deallocated, and reversing the allocation procedure.