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Due date assignment scheduling with positional-dependent weights and proportional setup times.

Xuyin Wang¹, Weiguo Liu¹, Lu Li¹

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

Mathematical Biosciences and Engineering : MBE

|April 18, 2022

Summary

This study addresses single-machine scheduling with due date assignment and sequence-dependent setup times. A polynomial-time algorithm finds optimal sequences and due dates to minimize weighted costs.

Keywords:

due date assignment lateness past-sequence-dependent setup times positional-dependent weight scheduling

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Area of Science:

Operations Research
Industrial Engineering
Computer Science

Background:

Scheduling problems are crucial in manufacturing and service operations.
Past-sequence-dependent setup times and due date assignments complicate optimization.
Existing models often address these factors separately.

Purpose of the Study:

To investigate the single-machine scheduling problem integrating due date assignment and past-sequence-dependent setup times.
To jointly optimize job sequences and due dates for minimizing weighted costs.
To develop an efficient algorithm for solving this complex scheduling problem.

Main Methods:

Formulating a single-machine scheduling problem with position-dependent weights.
Considering common due date assignment (slack and different).
Developing a polynomial-time algorithm to find optimal solutions.

Main Results:

Established optimal properties for the integrated scheduling problem.
Proposed a polynomial-time algorithm for joint optimization.
Demonstrated the feasibility of simultaneously managing due dates and sequence-dependent setups.

Conclusions:

The developed algorithm efficiently solves the complex single-machine scheduling problem.
Joint optimization of sequences and due dates is achievable.
This research offers practical solutions for production planning and scheduling.