Regular Performance Measures

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


This chapter covers stochastic scheduling problems with regular performance measures. Section 2.1 is focused on models of minimizing the sum of expected completion time costs. In Section 2.2, we consider the problem of minimizing the expected makespan (the maximum completion time). Some basic models with due-date related objective functions are addressed in Section 2.3. More general cost functions are considered in Section 2.4. Optimal scheduling policies when processing times follow certain classes of distributions are described in Sections 2.5 and 2.6, respectively. Basic techniques commonly employed in the field of stochastic scheduling, including the approach of adjacent job interchange, the argument of induction, and the approach of stochastic dynamic programming, are illustrated in this Chapter.


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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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