Simultaneous approximation for scheduling problems

Abstract

Motivated by the problem to approximate all feasible schedules by one schedule in a given scheduling environment, we introduce in this paper the concepts of strong simultaneous approximation ratio (SAR) and weak simultaneous approximation ratio (WAR). Then we study the two parameters under various scheduling environments, such as, non-preemptive, preemptive or fractional scheduling on identical, related or unrelated machines.