  Common resource management methods in supercomputing systems usually include
hard divisions, capping, and quota allotment. Those methods, despite their
'advantages', have some known serious disadvantages including unoptimized
utilization of an expensive facility, and occasionally there is still a need to
dynamically reschedule and reallocate the resources. Consequently, those
methods involve bad supply-and-demand management rather than a free market
playground that will eventually increase system utilization and productivity.
In this work, we propose the newly Optimized Memoryless Fair-Share HPC
Resources Scheduling using Transparent Checkpoint-Restart Preemption, in which
the social welfare increases using a free-of-cost interchangeable proprietary
possession scheme. Accordingly, we permanently keep the status-quo in regard to
the fairness of the resources distribution while maximizing the ability of all
users to achieve more CPUs and CPU hours for longer period without any
non-straightforward costs, penalties or additional human intervention.
