Incremental Network Design with Maximum Flows

نویسندگان

  • Thomas Kalinowski
  • Dmytro Matsypura
  • Martin W. P. Savelsbergh
چکیده

We study an incremental network design problem, where in each time period of the planning horizon an arc can be added to the network and a maximum flow problem is solved, and where the objective is to maximize the cumulative flowover the entire planning horizon. After presenting twomixed integer programming (MIP) formulations for this NP-complete problem, we describe several heuristics and prove performance bounds for some special cases. In a series of computational experiments, we compare the performance of the MIP formulations as well as the heuristics. © 2014 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 242  شماره 

صفحات  -

تاریخ انتشار 2015