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Journal of Scheduling

, Volume 10, Issue 1, pp 77–84 | Cite as

Single-machine scheduling with general costs under compound-type distributions

  • Xiaoqiang Cai
  • Xianyi Wu
  • Xian Zhou
Article
  • 71 Downloads

Abstract

We investigate the problem of scheduling n jobs on a single machine with the following features. The cost functions are general stochastic processes, which can be used to model the effects of stochastic price fluctuations, stochastic due times, etc., and the stochastic processing times follow a class of distributions, which includes exponential, geometric, and other families of distributions. Such a class of distributions is characterized by its characteristic functions. The optimal policies for these scheduling problems, both without precedence constraints, or with precedence in the form of nonpreemptive chains, are discussed, respectively.

Keywords

Stochastic scheduling Single machine Stochastic cost functions Due dates Characteristic functions Increment order Convexity order 

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Copyright information

© Springer Science + Business Media, LLC 2006

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 KongHong Kong
  2. 2.Department of StatisticsEast China Normal UniversityShanghai
  3. 3.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong Kong

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