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The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times

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Abstract

We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomial-time algorithm to find the optimal job sequence, due date values and resource allocation minimizing an objective function which includes earliness, tardiness, due date assignment, makespan and total resource consumption costs.

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Authors and Affiliations

  1. Department of Industrial Engineering and Management, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Dvir Shabtay

  2. Management Science and Information Systems Area, Michael G. DeGroote School of Business, McMaster University, Hamilton, Ontario, Canada

    George Steiner

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  1. Dvir Shabtay
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  2. George Steiner
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Correspondence to Dvir Shabtay.

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Shabtay, D., Steiner, G. The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times. Ann Oper Res 159, 25–40 (2008). https://doi.org/10.1007/s10479-007-0269-y

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  • DOI: https://doi.org/10.1007/s10479-007-0269-y

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