Abstract
We consider the problem of minimal number of migrations in the optimal schedule of problem
on parallel machines with interruptions and constant delay in job migrations. In particular, we consider the Sitters–Fishkin hypothesis that for every instance of this problem there exists an optimal schedule with at most m−1 migrations where m is the number of machines. This hypothesis has been proven in [1] for the case when m ≤ 3. In this work, we prove this hypothesis for the case of four machines.
Similar content being viewed by others
References
Sevast’yanov, S.V., Sitters, R.A., and Fishkin, A.V., Preemptive Scheduling of Independent Jobs onIdentical Parallel Machines Subject to Migration Delays, Autom. Remote Control, 2010, vol. 71, no. 10, pp. 2093–2101.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.S. Kozlov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 7, pp. 140–149.
Rights and permissions
About this article
Cite this article
Kozlov, A.S. On the Sitters–Fishkin hypothesis. Autom Remote Control 76, 1252–1259 (2015). https://doi.org/10.1134/S0005117915070103
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117915070103