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A hybrid metaheuristic for a semiconductor production scheduling problem with deterioration effect and resource constraints

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Abstract

The scheduling of jobs and resources is challenging in semiconductor production and large-scale integrated circuit design. This paper considers a semiconductor manufacturing alliance where there are several manufacturers with limited resources, and the goal is to minimize the makespan by making decisions on resources allocation, jobs assignment, jobs batching, and batches sequencing. The job processing time is investigated based on a convex resource formulation integrated with the deterioration effect. Jobs in a single batch have the same starting and finishing time. The batch setup time is defined by the time-dependent function. Meanwhile, limited resources can be allocated to jobs to improve the production efficiency in each batch. Focusing on settings where all jobs have been assigned to manufacturers, this paper derives some important structural properties. Then, for the case with a single manufacturer, an optimal schedule rule is established to arrange jobs and resources. Furthermore, a Variable Neighborhood Search algorithm based on the Biogeography-Based Optimization is designed to solve the problem, which is proved to be NP-hard. The computational results show that our algorithm can generate more robust and appropriate schedules compared to other algorithms from the literature.

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Funding

This work is supported by The National Key Research and Development Program of China (2019YFB1705300), the Fundamental Research Funds for the Central Universities of China (JZ2021HGTA0134; JZ2021HGQA0200; JZ2021HGQA0208; JZ2021HGTA0136), Natural Science Foundation of Anhui Province (2108085QG287, 2008085QG341, 1908085MG223), the Key Research and Development Plan of Anhui Province (2022a05020023), the National Natural Science Foundation of China (Nos. 72101071, 72071056, 72101077), Open Research Fund Program of Key Laboratory of Process Optimization and Intelligent Decision-making (Hefei University of Technology), Ministry of Education, Base of Introducing Talents of Discipline to Universities for Optimization and Decision-making in the Manufacturing Process of Complex Product (111 project: B17014).

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Authors and Affiliations

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

    Shaojun Lu, Zhiping Zhou, Xinbao Liu & Siwen Liu

  2. School of Economics and Management, Anhui Normal University, Wuhu, China

    Min Kong

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

    Min Kong

  4. Department of Computer Science, University of Texas at Dallas, Richardson, TX, USA

    Siwen Liu

Authors
  1. Shaojun Lu
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  2. Min Kong
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  3. Zhiping Zhou
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  4. Xinbao Liu
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  5. Siwen Liu
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Correspondence to Shaojun Lu, Min Kong or Zhiping Zhou.

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All algorithms have been implemented in C++ language and executed on an Inter Core 7, 3.6GHZ PC with 8 GB of RAM.

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Lu, S., Kong, M., Zhou, Z. et al. A hybrid metaheuristic for a semiconductor production scheduling problem with deterioration effect and resource constraints. Oper Res Int J 22, 5405–5440 (2022). https://doi.org/10.1007/s12351-022-00720-2

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  • DOI: https://doi.org/10.1007/s12351-022-00720-2

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