Optimal Correction of Execution Intervals for Multiprocessor Scheduling with Additional Resource

摘要

A problem of admissible multiprocessor preemptive scheduling is considered when execution intervals are specified, processors have arbitrary performance, and the execution time of tasks linearly depends on the amount of the additional resource allocated to their execution. If there is no admissible schedule for a given amount of the additional resource, we consider the problem of optimal correction of execution intervals. The solution is based on reducing the original problem to the problem of minimum cost flow.