Guillaume Buthmann, Tomoya Sakai, et al.
ICASSP 2025
The effectiveness of a distributed system hinges on the manner in which tasks and data are assigned to the underlying system resources. Moreover, today's large-scale distributed systems must accommodate heterogeneity in both the offered load and in the makeup of the available storage and compute capacity. The ideal resource assignment must balance the utilization of the underlying system against the loss of locality incurred when individual tasks or data objects are fragmented among several servers. In this paper we describe this locality-maximizing placement problem and show that an optimal solution is NP-hard. We then describe a polynomial-time algorithm that generates a placement within an additive constant of two from optimal. © 2006 Elsevier Inc. All rights reserved.
Guillaume Buthmann, Tomoya Sakai, et al.
ICASSP 2025
M. Shub, B. Weiss
Ergodic Theory and Dynamical Systems
Robert F. Gordon, Edward A. MacNair, et al.
WSC 1985
Sankar Basu
Journal of the Franklin Institute