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http://dx.doi.org/10.7737/JKORMS.2013.38.2.141

An Algorithm for Resource-Unconstrained Earliness-Tardiness Problem with Partial Precedences  

Ha, Byung-Hyun (부산대학교 산업공학과)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.38, no.2, 2013 , pp. 141-157 More about this Journal
Abstract
In this paper, we consider the minimization of the total weighted earliness-tardiness penalty of jobs, regarding the partial precedences between jobs. We present an optimal scheduling algorithm in O(n(n+m log m)) where n is the number of jobs and m is the number of partial precedences. In the algorithm, the optimal schedule is constructed iteratively by considering each group of contiguous jobs as a block that is represented by a tree.
Keywords
Scheduling; Earliness-Tardiness Penalty; Partial Precedences; Optimization Algorithm;
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