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A Posterior Competitiveness For List Scheduling Algorithm On Machines With Eligibility Constraints

Author

Listed:
  • HARK-CHIN HWANG

    (Department of Industrial Engineering, Chosun University, 375 Susuk-Dong, Dong-Gu, Gwangju 501-709, South Korea)

  • SOO Y. CHANG

    (Industrial Engineering Department, Division of Electrical and Computer Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang, Kyungbook 790-784, South Korea)

  • YUSHIN HONG

    (Industrial Engineering Department, Division of Electrical and Computer Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang, Kyungbook 790-784, South Korea)

Abstract

We consider the on-line problem of schedulingnindependent jobs onmidentical machines under the machine eligibility constraints, where each job has its own specified subset of machines which are eligible for processing it. We investigate a greedy algorithm LS and prove its posterior competitiveness ratio is$\log_2\frac{4}{\lambda}m-\frac{1}{\lambda}$, where λ is the number of machines eligible for processing the job with the latest completion time.

Suggested Citation

  • Hark-Chin Hwang & Soo Y. Chang & Yushin Hong, 2004. "A Posterior Competitiveness For List Scheduling Algorithm On Machines With Eligibility Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 117-125.
    • Handle: RePEc:wsi:apjorx:v:21:y:2004:i:01:n:s0217595904000084
    DOI: 10.1142/S0217595904000084
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    Citations

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    Cited by:

    1. Karhi, Shlomo & Shabtay, Dvir, 2014. "Online scheduling of two job types on a set of multipurpose machines," International Journal of Production Economics, Elsevier, vol. 150(C), pages 155-162.
    2. Kangbok Lee & Joseph Leung & Michael Pinedo, 2013. "Makespan minimization in online scheduling with machine eligibility," Annals of Operations Research, Springer, vol. 204(1), pages 189-222, April.
    3. Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    4. Li, Shuguang, 2017. "Parallel batch scheduling with inclusive processing set restrictions and non-identical capacities to minimize makespan," European Journal of Operational Research, Elsevier, vol. 260(1), pages 12-20.

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