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Resource constrained scheduling with general truncated job-dependent learning effect

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Abstract

Scheduling with general truncated job-dependent learning effect and resource-dependent processing times is studied on a single machine. It is assumed that the job processing time is a function of the amount of resource allocated to the job, the general job-dependent learning effect and the job-dependent control parameter. For each version of the problem that differs in terms of the objective functions and the processing time functions, the optimal resource allocation is provided. Polynomial time algorithms are also developed to find the optimal schedule of several versions of the problem.

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Acknowledgments

The authors are grateful to the two anonymous referees for their helpful comments on earlier version of the article. This research was supported by the National Natural Science Foundation of China (Grant Nos. 71471120 and 71471057).

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Authors and Affiliations

  1. Department of Industrial Engineering and Management, College of Engineering, Peking University, Beijing, 100871, People’s Republic of China

    Hongyu He

  2. Business School, Hunan University, Changsha, 410082, Hunan, People’s Republic of China

    Mengqi Liu

  3. School of Science, Shenyang Aerospace University, Shenyang, 110136, People’s Republic of China

    Ji-Bo Wang

Authors
  1. Hongyu He
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  2. Mengqi Liu
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  3. Ji-Bo Wang
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Correspondence to Mengqi Liu.

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He, H., Liu, M. & Wang, JB. Resource constrained scheduling with general truncated job-dependent learning effect. J Comb Optim 33, 626–644 (2017). https://doi.org/10.1007/s10878-015-9984-5

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  • DOI: https://doi.org/10.1007/s10878-015-9984-5

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