Experimental evaluation of solution approaches for the K-route maximum flow problem

  • Authors:

  • F. Guerriero;M. Macini

  • Affiliations:

  • Dipartimento di Elettronica, Informatica e Sistemistica, University of Calabria, Via P. Bucci - Cubo 41C, Rende-Cosenza 87030, Italy;Dipartimento di Elettronica, Informatica e Sistemistica, University of Calabria, Via P. Bucci - Cubo 41C, Rende-Cosenza 87030, Italy

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2005

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Abstract

We describe the implementation and testing of approaches for the solution of the maximum K-route flow problem. More specifically, we focus on Kishimoto's algorithm, the binary search algorithm and the K-route flow algorithm. With the aim to compare the performances of the aforementioned methods, we report results of computational experiments carried out on a large set of randomly generated problems with varying topology and arc capacities. The numerical results show that Kishimoto's algorithm is generally the fastest for solving fully random networks and 3-D grid random networks. The binary search algorithm provides the best performance in solving grid random networks. The K-route flow algorithm is generally the fastest for solving fully random networks and 3-D grid random networks with capacity range of [1,1000] and certain values of K.