Machine scheduling problems under deteriorating effects and deteriorating rate-modifying activities

This paper has been re-typeset by Taylor & Francis from the manuscript originally provided to the previous publisher.

Abstract

When the workers carry out the operation of many tasks, they will be fatigued. Meanwhile, the experience performance will also be degraded over time owe to mal-position or mal-alignment of jobs, abrasion of tools, etc. The maintenance activities will be required to maintenance acceptable production rates. In this study, some machine scheduling problems with deteriorating jobs and rate-modifying activities are investigated simultaneously. We assume the rate-modifying activity duration depends on the running time between the two rate-modifying activities. The objective functions are to minimize the makespan, the total completion time and the combination of the earliness, the tardiness, and the common due date. Polynomial-time algorithms are provided to optimally solve the three problems for the single-machine case. Finally, we also consider the parallelmachine problem to minimize only the total completion time by converting it into the corresponding assignment problem.

Keywords:

• Scheduling
• single machine
• deteriorated jobs
• rate-modifying activities

Acknowledgements

We are grateful to the editors, an associate editor, and four anonymous referees for their many helpful comments on earlier versions of our paper.

Notes

This paper has been re-typeset by Taylor & Francis from the manuscript originally provided to the previous publisher.