The impact of heterogeneity on master-slave scheduling

In this paper, we assess the impact of heterogeneity on scheduling independent tasks on master-slave platforms. We assume a realistic one-port model where the master can communicate with a single slave at any time. We target both on-line and off-line scheduling problems, and we focus on simpler instances where all tasks have the same size. While such on-line problems can be solved in polynomial time on homogeneous platforms, we show that there does not exist any optimal deterministic algorithm for heterogeneous platforms. Whether the source of heterogeneity comes from computation speeds, or from communication bandwidths, or from both, we establish lower bounds on the competitive ratio of any deterministic algorithm. We provide such bounds for the most important objective functions: the minimization of the makespan (or total execution time), the minimization of the maximum response time (difference between completion time and release time), and the minimization of the sum of all respon...

• Type: Journal
• Year: 2008
• Where: PC
• Authors: Jean-Francois Pineau, Yves Robert, Frédéric Vivien
• Keywords: Deterministic Algorithm, Off-line Scheduling, Off-line Scheduling Problems, PC 2008, Programming Languages