An entropy based solid transportation problem in uncertain environment

  • Baojie Chen
  • Yajuan LiuEmail author
  • Tianyong Zhou
Original Research


The uncertain solid transportation problem considers material dispatching with uncertain elements like demands. Now, it plays an increasingly important role in logistics managements. Traditionally, the transportation cost is used as the optimization objective, while the dispersals of trips between origins and destinations are usually neglected. In order to minimize the transportation penalties and ensure uniform distribution of goods between origins and destinations, this paper employs entropy function of dispersals of trips between origins and destinations as a second objective function. Within the framework of uncertainty theory, the uncertain entropy based solid transportation model is transformed into its deterministic equivalent, which can be solved by general optimization methods. Finally, a numerical example is given for illustrating purpose.


Solid transportation problem Entropy function Uncertain variable Expected value 



This study was funded by Henan Soft Science Research Program under Grant no. 172400410168.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Cooperative Innovation Center for Avation Economy DevelopmentZhengzhou University of AeronauticsZhengzhouChina
  2. 2.School of LogisticsZhengzhou University of AeronauticsZhengzhouChina
  3. 3.Donlinks School of Economics and ManagementUniversity of Science and Technology BeijingBeijingChina
  4. 4.School of Economics and ManagementBeijing Information Science and Technology UniversityBeijingChina

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