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Bicriteria fabrication scheduling of two-component jobs on a single machine

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  • Yijie Li

    (University of St Andrews)

Abstract

This paper studies the bicriteria problem of non-preemptively scheduling n jobs, each of which is associated with a due date and comprises a standard and a specific component, on a single fabrication machine to minimize makespan and maximum lateness simultaneously. The specific components are processed individually and the standard components are grouped into batches for processing. A setup time is required before each batch of standard components is processed. A standard component is available (i.e., ready for delivery to the next production stage) only when the batch it belongs to is totally completed, whereas a specific component is available on completion of its processing. The completion time of a job is defined as the moment when both its two components have been processed and are available. An $$O(n^2\log n)$$ O ( n 2 log n ) -time algorithm with linear memory requirements is presented which can generate all Pareto optimal points and find a corresponding Pareto optimal schedule for each Pareto optimal point.

Suggested Citation

  • Yijie Li, 2023. "Bicriteria fabrication scheduling of two-component jobs on a single machine," Operational Research, Springer, vol. 23(4), pages 1-13, December.
    • Handle: RePEc:spr:operea:v:23:y:2023:i:4:d:10.1007_s12351-023-00799-1
    DOI: 10.1007/s12351-023-00799-1
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    References listed on IDEAS

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