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Scheduling jobs with general truncated learning effects including proportional setup times

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Abstract

Scheduling problems with general truncated learning effects and past-sequence-dependent setup times on a single-machine are studied in this paper. The setup times of jobs are proportional to the length of the already processed jobs (i.e., past-sequence-dependent setup times). It shows that the addressed problems remains polynomially solvable for the following objectives: the makespan, the sum of the \(\varphi \)th power of job completion times, the total weighted completion time (with agreeable weights) and the maximum lateness (with agreeable due dates). For the general total weighted completion time (the maximum lateness) minimization, some solution algorithms (including heuristic, branch-and-bound and simulated annealing algorithms) are proposed to solve the problems.

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Acknowledgements

This research was supported by the 2020 Annual Project of Education Science “13th Five-Year Plan” of Liaoning Province [grant no. JG20DB428].

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  1. Department of Basic, Shenyang Sport University, Shenyang, 110102, People’s Republic of China

    Shuang Zhao

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  1. Shuang Zhao
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Correspondence to Shuang Zhao.

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Communicated by Hector Cancela.

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Zhao, S. Scheduling jobs with general truncated learning effects including proportional setup times. Comp. Appl. Math. 41, 146 (2022). https://doi.org/10.1007/s40314-022-01851-0

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  • DOI: https://doi.org/10.1007/s40314-022-01851-0

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