Stochastic Machine Breakdowns

  • Xiaoqiang Cai
  • Xianyi Wu
  • Xian Zhou
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 207)


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.


Processing Time Schedule Problem Completion Time Machine Breakdown Breakdown Process 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Xiaoqiang Cai
    • 1
  • Xianyi Wu
    • 2
  • Xian Zhou
    • 3
  1. 1.Department of Systems Engineering and Engineering ManagementThe Chinese University of Hong KongShatin, N.T.Hong Kong SAR
  2. 2.Department of Statistics and Actuarial ScienceEast China Normal UniversityShanghaiPeople’s Republic of China
  3. 3.Department of Applied Finance and Actuarial StudiesMacquarie UniversityNorth RydeAustralia

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