A study on the feasibility of the inverse maximum flow problems and flow modification techniques in the case of non-feasibility

  • Authors:
  • Adrian Deaconu;Eleonor Ciurea;Corneliu Marinescu

  • Affiliations:
  • Transilvania Univ. of Braşov, Theoretical Computer Science Dept., Braşov, Romania;Transilvania Univ. of Braşov, Theoretical Computer Science Dept., Braşov, Romania;Transilvania Univ. of Braşov, Electrical Eng. and Computer Sci., Braşov, Romania

  • Venue:
  • WSEAS Transactions on Computers
  • Year:
  • 2010

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Abstract

The feasibility of the inverse maximum flow problems (denoted IMFG) is studied. The feasibility can be tested in linear time. In the case of IMFG not being feasible, a new inverse combinatorial optimization problem is introduced and solved. The problem is to modify as little as possible the flow so that the problem becomes feasible for the modified flow. An example is presented.