Inverse optimization in high-speed networks

  • Authors:
  • András Faragó;Áron Szentesi;Balázs Szviatovszki

  • Affiliations:
  • Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, MS-EC31, P.O. Box 830688, Richardson, TX;Ericsson Traffic Lab, Budapest, P.O. Box 107, Budapest, H-1300, Hungary;Ericsson Traffic Lab, Budapest, P.O. Box 107, Budapest, H-1300, Hungary

  • Venue:
  • Discrete Applied Mathematics - Special issue: Algorithmic aspects of communication
  • Year:
  • 2003

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Abstract

A general approach is presented for handling the following inverse optimization problem: given solutions to each member of a family of combinatorial optimization tasks on a common underlying set, find a positive linear objective function (weighting) on the common underlying set that simultaneously makes each solution optimal in its own optimization task. Our motivation stems from the inverse shortest path problem that is made practically important in high-speed telecommunication networks by the Asynchronous Transfer Mode Forum's Private Network-Network Interface architecture, in which route finding can be based on administrative weights. Different variants of the problem are investigated, including uniqueness requirements and reserve routes.