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Proportionate and Ordered Open Shops

In: A Book of Open Shop Scheduling

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  • Wieslaw Kubiak

    (Memorial University of Newfoundland)

Abstract

Two models of proportionate open shops have evolved. The job-proportionate open shops, where all operations of each job have the same processing time, and machine-proportionate open shops, where all operations on each machine have the same processing time. The two are equivalent for makespan minimization but not for other objective functions. Somewhat surprisingly the makespan minimization remains NP-hard for three-machine job-proportionate open shops. We present 7 6 $$\frac {7}{6}$$ -algorithm for the problem and propose a new approach to the makespan minimization in proportionate open shops with arbitrary number of machines. The approach uses bin packing to improve the solutions for the machine-proportionate open shops with n

Suggested Citation

  • Wieslaw Kubiak, 2022. "Proportionate and Ordered Open Shops," International Series in Operations Research & Management Science, in: A Book of Open Shop Scheduling, chapter 0, pages 165-192, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-91025-9_7
    DOI: 10.1007/978-3-030-91025-9_7
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    Cited by:

    1. Agnihothri, Saligrama & Cappanera, Paola & Nonato, Maddalena & Visintin, Filippo, 2024. "Appointment scheduling in surgery pre-admission testing clinics," Omega, Elsevier, vol. 123(C).

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