One-machine job-scheduling with non-constant capacity – minimizing weighted completion times

One-machine job-scheduling with non-constant capacity – minimizing weighted completion times

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Article ID: iaor19991758
Country: Netherlands
Volume: 102
Issue: 3
Start Page Number: 502
End Page Number: 512
Publication Date: Nov 1997
Journal: European Journal of Operational Research
Authors: , ,
Abstract:

In this paper an n-job one-machine scheduling problem is considered, in which the machine capacity is time-dependent and jobs are characterized by their work content. The objective is to minimize the sum of weighted completion times. A necessary optimality condition is presented and we discuss some special cases where this condition is also sufficient. We prove that the problem is NP-complete. A branch-and-bound algorithm is developed for the case when the capacity function is a step function. Computational results for 1000 test problems are presented.

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