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Approximation algorithms for the single-machine scheduling with a period of maintenance

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Abstract

We consider a single machine scheduling problem of minimizing total completion time subject to a period of maintenance, and design an \(O(nlogn)\) time algorithm with a tight performance ratio of \(17/15\). Then, we study an integrated production and distribution problem, in which jobs are delivered by one vehicle to a customer after they are completed on a single machine with a period of maintenance. The objective is to minimize total delivery time of the jobs. We develop a \(3/2\)-approximation algorithm with \(O(n^{3})\) time complexity.

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Acknowledgments

This research is supported by National Natural Science Foundation of China (11371137), Research Fund for the Doctoral Program of China (20120074110021).

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Authors and Affiliations

  1. Department of Mathematics, School of Science, East China University of Science and Technology, Shanghai, 200237, China

    Ganggang Li & Xiwen Lu

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  1. Ganggang Li
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  2. Xiwen Lu
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Correspondence to Xiwen Lu.

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Li, G., Lu, X. Approximation algorithms for the single-machine scheduling with a period of maintenance. Optim Lett 10, 543–562 (2016). https://doi.org/10.1007/s11590-015-0881-8

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  • DOI: https://doi.org/10.1007/s11590-015-0881-8

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