Reallocation problems in scheduling

MA Bender, M Farach-Colton, S Fekete… - Proceedings of the …, 2013 - dl.acm.org
Proceedings of the twenty-fifth annual ACM symposium on Parallelism in …, 2013dl.acm.org
In traditional on-line problems, such as scheduling, requests arrive over time, demanding
available resources. As each request arrives, some resources may have to be irrevocably
committed to servicing that request. In many situations, however, it may be possible or even
necessary to reallocate previously allocated resources in order to satisfy a new request. This
reallocation has a cost. This paper shows how to service the requests while minimizing the
reallocation cost. We focus on the classic problem of scheduling jobs on a multiprocessor …
In traditional on-line problems, such as scheduling, requests arrive over time, demanding available resources. As each request arrives, some resources may have to be irrevocably committed to servicing that request. In many situations, however, it may be possible or even necessary to reallocate previously allocated resources in order to satisfy a new request. This reallocation has a cost. This paper shows how to service the requests while minimizing the reallocation cost.
We focus on the classic problem of scheduling jobs on a multiprocessor system. Each unit-size job has a time window in which it can be executed. Jobs are dynamically added and removed from the system. We provide an algorithm that maintains a valid schedule, as long as a sufficiently feasible schedule exists. The algorithm reschedules only O(min{log* n; log* Δ}) jobs for each job that is inserted or deleted from the system, where n is the number of active jobs and Δ is the size of the largest window.
ACM Digital Library