Perfect load balancing on the star interconnection network

  • Authors:
  • N. Imani;H. Sarbazi-Azad;S. G. Akl

  • Affiliations:
  • IPM School of Computer Science, Tehran, Iran;Sharif University of Technology & IPM, Tehran, Iran;Queens University, Kingston, Canada

  • Venue:
  • The Journal of Supercomputing
  • Year:
  • 2007

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Abstract

In this paper, we use the regular distribution method to design a perfect load balancing algorithm for an n-star with a maximum error of 1 and a time complexity of 3n(n+1). This algorithm is based on the novel notion of leader trees. A second algorithm proposed in this paper as an enhancement to our first algorithm and uses an arbitrary spanning tree as the leader tree and has a worst time complexity of 2.25n 2驴3n+0.75. We also discuss the issue of dynamically selecting the leader tree and hybrid load balancing algorithms in general. Furthermore, we present a hybrid algorithm for load balancing on the star interconnection network which benefits from a diffusion load balancing preprocessing phase and shows a smaller mean time complexity than our two first algorithms.