Optimal Greedy Algorithm for Many-Core Scheduling

Abstract

In this paper, we propose an optimal greedy algorithm for the problem of run-time many-core scheduling. The previously best known centralized optimal algorithm proposed for the problem is based on dynamic programming. A dynamic programming-based scheduler has high overheads which grow fast with increase in both the number of cores in the many-cores as well as number of tasks independently executing on them. We show in this paper that the inherent concavity of extractable instructions per cycle in tasks with increase in number of allocated cores allows for an alternative greedy algorithm. The proposed algorithm significantly reduces the run-time scheduling overheads, while maintaining theoretical optimality. In practice, it reduces the problem solving time 10 000x to provide near-optimal solutions.