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April  2017, 13(2): 697-711. doi: 10.3934/jimo.2016041

## Parallel-machine scheduling with potential disruption and positional-dependent processing times

 1 Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China 2 Business School, Hunan University, Changsha, Hunan 410082, China 3 Department of Business Administration, Fu Jen Catholic University, New Taipei City, Taiwan

* Corresponding author: Mengqi Liu

Received  October 2015 Revised  January 2016 Published  May 2016

Fund Project: This paper was supported in part by the National Natural Science Foundation of China (71301022,71471057); and in part by the Personnel Training Fund of Kunming University of Science and Technology (KKSY201407098).

In this paper, we address the scheduling problem with positional-dependent processing times in a disruptive environment, in which there is a possibility that some of the machines become unavailable for a certain period of time with a certain probability due to a disruption at a particular time. By positional-dependent processing times, we mean that the actual processing time of a job depends on its processing position on a machine. Since some machines may be unavailable for a certain period of time, both non-resumable and resumable cases are considered. The objective is to minimize the expected total completion time. For various cases, we provide the complexity results and present efficient pseudo-polynomial time algorithms for the corresponding problems.

Citation: Bin Zheng, Min Fan, Mengqi Liu, Shang-Chia Liu, Yunqiang Yin. Parallel-machine scheduling with potential disruption and positional-dependent processing times. Journal of Industrial & Management Optimization, 2017, 13 (2) : 697-711. doi: 10.3934/jimo.2016041
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