An algorithm for the fair resource allocation problem with a submodular constraint

  • Kenji Namikawa
  • Toshihide Ibaraki


The fair resource allocation problem is to allocate a given amount of discrete resources to a given set of activities in the fairest manner. This problem has recently been generalized to one with submodular constraints, which includes as special cases many important constraints encountered in practice, such as nested, tree and network types. In this paper, we propose a new algorithm that first solves its continuous version and then modifies the continuous solution into an integer optimal solution. It is shown that the time complexity of the new method is less than that of the previously known algorithms if the continous version can be solved efficiently. Some examples are also discussed.

Key words

algorithm continuous optimal solution resource allocation problem submodular constraint 


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Copyright information

© JJIAM Publishing Committee 1991

Authors and Affiliations

  • Kenji Namikawa
    • 1
  • Toshihide Ibaraki
    • 1
  1. 1.Department of Applied Mathematics and Physics, Faculty of EngineeringKyoto UniversityKyotoJapan

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