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Serial-batching scheduling with time-dependent setup time and effects of deterioration and learning on a single-machine

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Abstract

This paper deals with serial-batching scheduling problems with the effects of deterioration and learning, where time-dependent setup time is also considered. In the proposed scheduling models, all jobs are first partitioned into serial batches, and then all batches are processed on a single serial-batching machine. The actual job processing time is a function of its starting time and position. In addition, a setup time is required when a new batch is processed, and the setup time of the batches is time-dependent, i.e., it is a linear function of its starting time. Structural properties are derived for the problems of minimizing the makespan, the number of tardy jobs, and the maximum earliness. Then, three optimization algorithms are developed to solve them, respectively.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 71231004, 71171071, 71131002, 71201042), and the Fundamental Research Funds for the Central Universities (Nos. JZ2015HGBZ0116, JZ2015HGBZ0117, JZ2015HGQC0187). Panos M. Pardalos is partially supported by the project of “Distinguished International Professor by the Chinese Ministry of Education” (MS2014HFGY026).

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Authors and Affiliations

  1. School of Management, Hefei University of Technology, Hefei, China

    Jun Pei, Xinbao Liu & Shanlin Yang

  2. Department of Industrial and Systems Engineering, Center for Applied Optimization, University of Florida, Gainesville, FL, USA

    Jun Pei & Panos M. Pardalos

  3. Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, China

    Xinbao Liu & Shanlin Yang

  4. Division of Industrial Logistics, Department of Industrial Engineering, Lulea University of Technology, Luleå, Sweden

    Athanasios Migdalas

  5. Division of Transportation, Construction Management and Regional Planning, Department of Civil Engineering, Aristotle University of Thessaloniki, Thessaloníki, Greece

    Athanasios Migdalas

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  1. Jun Pei
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  2. Xinbao Liu
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  4. Athanasios Migdalas
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  5. Shanlin Yang
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Correspondence to Jun Pei.

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Pei, J., Liu, X., Pardalos, P.M. et al. Serial-batching scheduling with time-dependent setup time and effects of deterioration and learning on a single-machine. J Glob Optim 67, 251–262 (2017). https://doi.org/10.1007/s10898-015-0320-5

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  • DOI: https://doi.org/10.1007/s10898-015-0320-5

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