1. A method, comprising: providing a cache in a computing system having an initial group of cache objects, each said cache object having an initial compression ratio and including stored data; decreasing an amount of data storage space occupied by at least one of said cache objects other than a given one of said cache objects, wherein the amount of data storage space occupied by the at least one of said cache objects is progressively decreased based on a decreasing likelihood of need for the at least one of said cache objects, wherein the data storage space is progressively decreased by compressing the at least one of said cache objects utilizing at least two different compression ratios, such that each compression ratio results in a compression of the at least one of said cache objects; and increasing an amount of data storage space occupied by said given cache object.