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Research on a novel minimum-risk model for uncertain orienteering problem based on uncertainty theory

  • Jian Wang
  • Jiansheng Guo
  • Mingfa ZhengEmail author
  • Zheng MuRong
  • Zhengxin Li
Methodologies and Application
  • 23 Downloads

Abstract

Probability theory is the most common method to solve the orienteering problems in the state of indeterminacy. However, it will no longer be applicable without available samples. In this paper, we focus on uncertain orienteering problem containing uncertain vector in the objective function. First, we creatively model the uncertain orienteering problem based on uncertainty theory. Second, we establish the minimum-risk model using uncertain measure instead of the expected-value policy. Third, after introducing some assumptions to deal with the uncertain vector in the minimum-risk model, we get an orienteering problem with fractional objective. Since it is more complex than the original orienteering problem, we design an one-dimensional ratio search algorithm. Finally, we perform some numerical tests on the uncertain datasets and analyze the effectiveness of our theoretical results and algorithm.

Keywords

Uncertainty theory Uncertain orienteering problem Minimum-risk solution One-dimensional ratio search algorithm 

Notes

Acknowledgements

This study was funded by National Natural Science Foundation of China (Grant No. 61502521, 61502523).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Human and animals participants

This article dose not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Jian Wang
    • 1
  • Jiansheng Guo
    • 1
  • Mingfa Zheng
    • 2
    Email author
  • Zheng MuRong
    • 1
  • Zhengxin Li
    • 1
  1. 1.Equipment Management and UAV Engineering CollegeAir Force Engineering UniversityXi’anChina
  2. 2.Department of Basic CoursesAir Force Engineering UniversityXi’anChina

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