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A maintenance activity scheduling with time-and-position dependent deteriorating effects.

Weiguo Liu1, Xuyin Wang1, Lu Li1

  • 1Business School, Northwest Normal University, Lanzhou 730070, China.

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|September 20, 2022
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Summary
This summary is machine-generated.

This study addresses single-machine scheduling with optional maintenance, optimizing job sequences and maintenance timing to minimize the makespan. A polynomial-time algorithm was developed to efficiently solve this complex scheduling problem.

Keywords:
deterioration effectmaintenance activityschedulingsingle-machine

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Area of Science:

  • Operations Research
  • Computer Science
  • Industrial Engineering

Background:

  • Scheduling problems are crucial in optimizing resource utilization.
  • Processing times can be dependent on job start times and sequence positions.
  • Incorporating maintenance activities adds complexity to scheduling.

Purpose of the Study:

  • To minimize the makespan in a single-machine scheduling problem.
  • To determine the optimal sequence of jobs and the best timing for an optional maintenance activity.
  • To develop an efficient algorithm for this specific scheduling challenge.

Main Methods:

  • The study focuses on a single-machine scheduling problem.
  • It considers an optional maintenance activity that resets the machine's state.
  • A polynomial-time algorithm is developed based on the properties of optimal sequences.

Main Results:

  • An optimal job sequence and maintenance activity location were determined.
  • A polynomial-time algorithm with O(n^4) complexity was introduced.
  • The makespan minimization objective was achieved.

Conclusions:

  • The developed algorithm provides an efficient solution for the single-machine scheduling problem with optional maintenance.
  • The findings contribute to optimizing production and operational workflows.
  • This research offers a method to balance job processing and machine upkeep for improved efficiency.