Abstract:We know a lot about competitive or approximation ratios of scheduling algorithms. This, though, cannot be translated into direct bounds on the schedule produced by a scheduling algorithm, because often the optimal solution is intractable. We derive a methodology to find absolute bounds on the scheduling of jobs with precedence constraints on parallel identical machines. Our bounds hold for a large class of online and offline scheduling algorithms: the "work conserving" scheduling algorithms. We apply this meth… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.