Finding Optimal Refueling Policies in Transportation Networks

  • Shieu-Hong Lin
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5034)


We study the combinatorial properties of optimal refueling policies, which specify the transportation paths and the refueling operations along the paths to minimize the total transportation costs between vertices. The insight into the structure of optimal refueling policies leads to an elegant reduction of the problem of finding optimal refueling policies into the classical shortest path problem, which ends in simple and more efficient algorithms for finding optimal refueling policies.


Short Path Transportation Network Transition Sequence Combinatorial Property Transition Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Atamtürk, A., Küçükyavuz, S.: Lot sizing with inventory bounds and fixed costs: polyhedral study and computation. Operations Research 53, 711–730 (2005)CrossRefzbMATHGoogle Scholar
  2. 2.
    Corman, T.H., Leiserson, C.E.: Introduction to Algorithms, 2nd edn. MIT Press, Cambridge (2001)Google Scholar
  3. 3.
    Khuller, S., Malekian, A., Mestre, J.: To fill or not to fill: the gas station problem. In: Proceedings of European Symposia on Algorithms (2007)Google Scholar
  4. 4.
    Lin, S.-H., Gertsch, N., Russell, J.: A linear-time algorithm for finding optimal refueling policies. Operations Research Letters 35(3), 290–296 (2007)CrossRefMathSciNetzbMATHGoogle Scholar
  5. 5.
    Love, S.F.: Bounded production and inventory models with piecewise concave costs. Management Science 20, 313–318 (1973)MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    Suzuki, Y.: A generic model for motor-carrier fuel optimization. Working paper, College of Business, Iowa State UniversityGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Shieu-Hong Lin
    • 1
  1. 1.Biola UniversityLa MiradaUSA

Personalised recommendations