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Optimal Scheduling Of Random Works With Reliability Application

Author

Listed:
  • MINGCHIH CHEN

    (Graduate Institute of Business Administration, Fu Jen Catholic University, 510 Chung Cheng Rd. Hsinchuang, Taipei County, 24205, Taiwan, R.O.C.)

  • TOSHIO NAKAGAWA

    (Department of Business Administration, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-cho, Toyota, 470-0392, Japan)

Abstract

This paper addresses a scheduling problem with random processing time when the operating system is subject to stochastic failure. First, scheduling of a single job is reviewed and the expected cost rate is obtained. Single scheduling time and multiple scheduling times for one job are discussed and the expected cost functions are obtained to setup the optimal due date. Numerical example is given to demonstrate the scheme of multiple scheduling times. Next, the scheduling problems of N tandem jobs and N parallel jobs are formulated and the expected cost functions are also derived. The optimal scheduling times which minimize the expected cost functions are discussed analytically.

Suggested Citation

  • Mingchih Chen & Toshio Nakagawa, 2012. "Optimal Scheduling Of Random Works With Reliability Application," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-14.
    • Handle: RePEc:wsi:apjorx:v:29:y:2012:i:05:n:s0217595912500273
    DOI: 10.1142/S0217595912500273
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    References listed on IDEAS

    as
    1. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, September.
    2. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, September.
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    Cited by:

    1. Zhao, Xufeng & Chen, Mingchih & Nakagawa, Toshio, 2016. "Replacement policies for a parallel system with shortage and excess costs," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 89-95.
    2. Chen, M. & Nakagawa, T., 2013. "Optimal redundant systems for works with random processing time," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 99-104.

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