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Single-machine serial-batching scheduling with a machine availability constraint, position-dependent processing time, and time-dependent set-up time

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Abstract

This article considers the single-machine serial-batching scheduling problem with a machine availability constraint, position-dependent processing time, and time-dependent set-up time. The objective of this problem is to make the decision of batching jobs and sequencing batches to minimize the makespan. To solve the problem, three cases of machine non-availability periods are considered, and the structural properties of the optimal solution are derived for each case. Based on these structural properties, an optimization algorithm is developed and an example is proposed to illustrate this algorithm.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 71601065, 71231004, 71501058, 71131002, 71471052, 71521001, 71571058), the Humanities and Social Sciences Foundation of the Chinese Ministry of Education (No. 15YJC630097), Anhui Province Natural Science Foundation (No. 1608085QG167), and the Fundamental Research Funds for the Central Universities (Nos. JZ2016HGTA0709, JZ2016HGTB0727). 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, Kai Li & Wenjuan Fan

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

    Jun Pei & Panos M. Pardalos

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

    Xinbao Liu, Kai Li & Wenjuan Fan

  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, Thessaloniki, Greece

    Athanasios Migdalas

Authors
  1. Jun Pei
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  2. Xinbao Liu
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  3. Panos M. Pardalos
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  4. Kai Li
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  5. Wenjuan Fan
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  6. Athanasios Migdalas
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Correspondence to Jun Pei.

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Pei, J., Liu, X., Pardalos, P.M. et al. Single-machine serial-batching scheduling with a machine availability constraint, position-dependent processing time, and time-dependent set-up time. Optim Lett 11, 1257–1271 (2017). https://doi.org/10.1007/s11590-016-1074-9

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  • DOI: https://doi.org/10.1007/s11590-016-1074-9

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