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Stochastic Machine Breakdowns

In: Optimal Stochastic Scheduling

Author

Listed:
  • Xiaoqiang Cai

    (The Chinese University of Hong Kong)

  • Xianyi Wu

    (East China Normal University)

  • Xian Zhou

    (Macquarie University)

Abstract

The majority of machine scheduling problems studied in the literature assume that the machine used to process the jobs is continuously available until all jobs are completed. In reality, however, it is a common phenomenon that a machine may break down randomly from time to time. This chapter covers scheduling problems where the machines are subject to stochastic breakdowns. We first formulate machine breakdown processes in Section 4.1, then discuss the optimal policies under the no-loss, total-loss and partial-loss machine breakdown models in Section 4.2–4.4, respectively. This chapter focuses on optimal static policies. Optimal dynamic policies will be introduced in Chapter 7.

Suggested Citation

  • Xiaoqiang Cai & Xianyi Wu & Xian Zhou, 2014. "Stochastic Machine Breakdowns," International Series in Operations Research & Management Science, in: Optimal Stochastic Scheduling, edition 127, chapter 0, pages 141-185, Springer.
    • Handle: RePEc:spr:isochp:978-1-4899-7405-1_4
    DOI: 10.1007/978-1-4899-7405-1_4
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