Measuring the Quality of Approximate Solutions to Zero-One Programming Problems

Abstract : The difficulties associated with measuring the are defined of an approximate (heuristic) solution by 'Percentage-Error' as is customary are pointed out. A set of properties that are to be expected from a proper measure of solution quality are defined and the family of functions which satisfy those conditions are investigated. In particular, it is shown that for any class of 0-1 programming problems appropriate functions do exist and that they are uniquely defined up to monotone transformations. Several examples of linear functions which are suitable for certain classes of problems are included.