Single machine scheduling with uncertain release times

Fan Yue, Shiji Song, Yuli Zhang, Rui Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

This paper establishes a robust optimization model and proposes constraint generation algorithm to solve a robust single machine scheduling problem with random release times. The performance criterion of interest is the maximum waiting time (MWT) over all jobs. Unlike the traditional stochastic programming model which requires exact distributions, our robust optimization model needs only the information of release time intervals. We formulate this uncertain optimization problem as a 0-1 linear programming model with a large number of constraints. To solve the model efficiently, a constraint generation algorithm (CGA) is proposed which generate constraint iteratively to obtain the optimal solution. The robustness of the optimal sequence under various probability distributions of release times is verified by simulation. Extensive computational experiments are implemented to demonstrate the effectiveness and efficiency of the proposed solution method.

Original languageEnglish
Title of host publicationProceedings of the 36th Chinese Control Conference, CCC 2017
EditorsTao Liu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages2729-2734
Number of pages6
ISBN (Electronic)9789881563934
DOIs
Publication statusPublished - 7 Sept 2017
Externally publishedYes
Event36th Chinese Control Conference, CCC 2017 - Dalian, China
Duration: 26 Jul 201728 Jul 2017

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference36th Chinese Control Conference, CCC 2017
Country/TerritoryChina
CityDalian
Period26/07/1728/07/17

Keywords

  • Constraint generation algorithm
  • Melton iron scheduling
  • Roust scheduling
  • uncertain release times

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