  Scientific applications often contain large and computationally intensive
parallel loops. Dynamic loop self scheduling (DLS) is used to achieve a
balanced load execution of such applications on high performance computing
(HPC) systems. Large HPC systems are vulnerable to processors or node failures
and perturbations in the availability of resources. Most self-scheduling
approaches do not consider fault-tolerant scheduling or depend on failure or
perturbation detection and react by rescheduling failed tasks. In this work, a
robust dynamic load balancing (rDLB) approach is proposed for the robust self
scheduling of independent tasks. The proposed approach is proactive and does
not depend on failure or perturbation detection. The theoretical analysis of
the proposed approach shows that it is linearly scalable and its cost decrease
quadratically by increasing the system size. rDLB is integrated into an MPI DLS
library to evaluate its performance experimentally with two computationally
intensive scientific applications. Results show that rDLB enables the tolerance
of up to (P minus one) processor failures, where P is the number of processors
executing an application. In the presence of perturbations, rDLB boosted the
robustness of DLS techniques up to 30 times and decreased application execution
time up to 7 times compared to their counterparts without rDLB.
