Online scheduling with multi‐state machines
Name
online-scheduling-dh-pj-15.pdf
Description
Submitted version
Size
432.91 KB
Format
Adobe PDF
Checksum (MD5)
7369294c90716a753cdae16c62ca1275
Author(s)
Hwang, Dawsen
Jaillet, Patrick
Date Issued
2018
Journal
Networks
Publisher
Wiley
Version
Original manuscript
Abstract
© 2017 Wiley Periodicals, Inc. In this paper, we propose a general framework for online scheduling problems in which each machine has multiple states that lead to different processing times. For these problems, in addition to deciding how to assign jobs to machines, we also need to set the states of the machines each time they are assigned jobs. For a wide range of machine environments, job processing characteristics and constraints, and cost functions, we develop a 5.14-competitive deterministic online algorithm and a 3.65-competitive randomized online algorithm. The online weighted traveling repairman problem belongs to this general framework, and both our deterministic and randomized online algorithms lead to lower competitive ratios than the current existing ones in the literature. In addition, we include a complete proof that the online algorithm ReOpt (reoptimizing the route of the repairman whenever a new request is released) is almost surely asymptotically optimal for a probabilistic version of this problem.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Operations Research Center
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1002/NET.21799
