Improved heuristics and a genetic algorithm for finding short supersequences

Abstract

In this paper several heuristics and a genetic algorithm (GA) are described for the Shortest Common Supersequence (SCS) problem, an NP-complete problem with applications in production planning, mechanical engineering and data compression. While our heuristics show the same worst case behaviour as the classical Majority Merge heuristic (MM) they outperform MM on nearly all our test instances. We furthermore present a genetic algorithm based on a slightly modified version of one of the new heuristics. The resulting GA/heuristic hybrid yields significantly better results than any of the heuristics alone, though the running time is much higher.