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Dynamic Policies

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 is devoted to optimal dynamic policies. Section 7.1 discusses differences between optimal static and dynamic policies with emphasis on the impacts of different levels of information utilization. Section 7.2 treats optimal policies in the class of restricted dynamic policies for problems subject to random machine breakdowns under the total-loss model. Section 7.3 studies the optimal restricted dynamic policies for no-loss breakdown models. Section 7.4 deals with partial- loss breakdown models. Its focus is on restricted dynamic policies, but optimal static and nonpreemptive dynamic policies are also presented as by-products. The restricted dynamic policies in Sections 7.2–7.4 show the applications of Gittins index theory to stochastic scheduling. Section 7.5, on the other hand, is dedicated to unrestricted dynamic policies for parallel machine scheduling with exponentially distributed processing times, with optimal policies obtained by means of general Markovian decision processes.

Suggested Citation

  • Xiaoqiang Cai & Xianyi Wu & Xian Zhou, 2014. "Dynamic Policies," International Series in Operations Research & Management Science, in: Optimal Stochastic Scheduling, edition 127, chapter 0, pages 253-298, Springer.
    • Handle: RePEc:spr:isochp:978-1-4899-7405-1_7
    DOI: 10.1007/978-1-4899-7405-1_7
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