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  • 1School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China.

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This study addresses single-machine scheduling problems with maintenance to minimize costs. An optimal polynomial-time algorithm is proposed for identical jobs, improving scheduling efficiency.

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Area of Science:

  • Operations Research
  • Industrial Engineering
  • Applied Mathematics

Background:

  • Scheduling problems are crucial in manufacturing and service industries.
  • Minimizing costs related to earliness, tardiness, and due-date assignment is a common objective.
  • Machine maintenance introduces complexities into scheduling optimization.

Purpose of the Study:

  • To investigate a single-machine scheduling problem with variable maintenance.
  • To minimize the total cost, including earliness, tardiness, and due-date assignment.
  • To develop an efficient algorithm for a specific case of this problem.

Main Methods:

  • Derivation of properties for optimal solutions in due-date assignment scheduling.
  • Development of a polynomial-time algorithm for the special case of identical jobs.
  • Analysis of a single-machine environment with incorporated maintenance schedules.

Main Results:

  • Identification of key properties that guide optimal scheduling decisions.
  • A proposed optimal polynomial-time algorithm for scheduling identical jobs with maintenance.
  • Demonstration of the algorithm's effectiveness through a numerical example.

Conclusions:

  • The derived properties offer insights into solving complex scheduling problems.
  • The proposed algorithm provides an efficient method for a specific class of scheduling problems.
  • This research contributes to optimizing production and service operations through effective scheduling and maintenance planning.