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Regular Performance Measures

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

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.

Suggested Citation

  • Xiaoqiang Cai & Xianyi Wu & Xian Zhou, 2014. "Regular Performance Measures," International Series in Operations Research & Management Science, in: Optimal Stochastic Scheduling, edition 127, chapter 0, pages 49-94, Springer.
    • Handle: RePEc:spr:isochp:978-1-4899-7405-1_2
    DOI: 10.1007/978-1-4899-7405-1_2
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