On a local protocol for concurrent file transfers

We study a very natural local protocol for a file transfer problem. Consider a scenario where several files, which may have varied sizes and get created over a period of time, are to be transferred between pairs of hosts in a distributed environment. Our protocol assumes that while executing the file transfers, an individual host does not use any global knowledge; and simply subdivides its I/O resources equally among all the active file transfers at that host at any point in time. This protocol is motivated by its simplicity of use and its applications to scheduling map-reduce workloads. Here we study the problem of deciding the start times of individual file transfers to optimize QoS metrics like average completion time or MakeSpan. To begin with, we show that these problems are NP-hard. We next argue that the ability of scheduling multiple concurrent file transfers at a host makes our protocol stronger than previously studied protocols that schedule a sequence of matchings, in which no two active file transfers share a host at any time. We then generalize the approach of Queyranne and Sviridenko (J. Scheduling, 2002) and Gandhi et al. (ACM T. Algorithms, 2008) that relates the MakeSpan and completion time objectives and present constant factor approximation algorithms.