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Soft Computing

, Volume 22, Issue 17, pp 5791–5801 | Cite as

The information value and the uncertainties in two-stage uncertain programming with recourse

  • Mingfa Zheng
  • Yuan Yi
  • Xuhua Wang
  • Jian Wang
  • Sheng Mao
Focus

Abstract

Based on uncertainty theory, this paper mainly studies the uncertainties and the information value in the two-stage uncertain programming with recourse. We first define three fundamental concepts and investigate their theoretical properties, based on which we present two optimal indices, i.e., EVPI and VUS. Then, we introduce a method to calculate the expected value of the second-stage objective function involving discrete uncertain variables. Due to the complexity of calculation, the upper bound and lower bound for the two indices are studied, respectively. Finally, two examples are given to illustrate these concepts clearly. The results obtained in this paper can provide theoretical basis for studying uncertainties and information value in decision-making process under uncertain systems.

Keywords

Uncertainty theory Two-stage uncertain programming Expected value Expected value of perfect information 

Notes

Acknowledgements

The author gratefully acknowledges the financial support provided by State Key Laboratory Development Program of China (Grant No. 9140C890302) and National Natural Science Foundation of China (Grant Nos.61502523, 61502521).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors. This work was carried out in collaboration between all authors. All authors read and approved the final manuscript.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Mingfa Zheng
    • 1
    • 2
  • Yuan Yi
    • 1
  • Xuhua Wang
    • 3
  • Jian Wang
    • 4
  • Sheng Mao
    • 4
  1. 1.School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’anP.R. China
  2. 2.College of ScienceAir Force Engineering UniversityXi’anP.R. China
  3. 3.China Xi’an Satellite Control CenterXi’anP.R. China
  4. 4.Equipment Management and Safety Engineering CollegeAir Force Engineering UniversityXi’anP.R. China

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