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Online scheduling of a single machine to minimize total weighted completion time

Anderson, Edward J. and Potts, Chris N. (2004) Online scheduling of a single machine to minimize total weighted completion time Mathematics of Operations Research, 29, (3), pp. 686-697. (doi:10.1287/moor.1040.0092).

Record type: Article


This paper considers the online scheduling of a single machine in which jobs arrive over time, and preemption is not allowed. The goal is to minimize the total weighted completion time. We show that a simple modification of the shortest weighted processing time rule has a competitive ratio of two. This result is established using a new proof technique that does not rely explicitly on a lower bound on the optimal objective function value. Because it is known that no online algorithm can have a competitive ratio of less than two, we have resolved the open issue of determining the minimum competitive ratio for this problem.

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Published date: 2004
Keywords: scheduling, single machine, total weighted completion time, online algorithm, competitive ratio
Organisations: Operational Research


Local EPrints ID: 29627
ISSN: 0364-765X
PURE UUID: 204118f5-2087-40ee-8969-75c53b622838

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Date deposited: 11 May 2006
Last modified: 17 Jul 2017 15:57

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Author: Edward J. Anderson
Author: Chris N. Potts

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