Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/661
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Title: NP-hardness of the single-variable-resource scheduling problem to minimize the total weighted completion time
Authors: Yuan, JJ
Cheng, TCE 
Ng, CTD 
Issue Date: 16-Apr-2007
Source: European journal of operational research, 16 Apr. 2007, v. 178, no. 2, p. 631-633
Abstract: Baker and Nuttle [K.R. Baker, H.L.W. Nuttle, Sequencing independent jobs with a single resource, Naval Research Logistics Quarterly 27 (1980) 499–510] studied the following single-variable-resource scheduling problem: sequencing n jobs for processing by a single resource to minimize a function of job completion times, when the availability of the resource varies over time. When the objective function to be minimized is the total weighted completion time, Baker and Nuttle conjectured that the problem is NP-hard. We show in this note that the conjecture is true.
Keywords: Scheduling
Single-variable-resource
Total weighted completion time
NP-hardness
Publisher: Elsevier
Journal: European journal of operational research 
ISSN: 0377-2217
EISSN: 1872-6860
DOI: 10.1016/j.ejor.2006.02.014
Rights: European Journal of Operational Research © 2006 Elsevier B.V. The journal web site is located at http://www.sciencedirect.com.
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