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Paper   IPM / Computer Science / 10991
School of Computer Science
  Title:   Perfect load balancing on the star interconnection network
  Author(s): 
1.  N. Imani
2.  H. Sarbazi-Azad
3.  S. G. Akl
  Status:   Published
  Journal: The Journal of Supercomputing
  No.:  3
  Vol.:  41
  Year:  2007
  Pages:   269 - 286
  Publisher(s):   Kluwer Academic Publishers
  Supported by:  IPM
  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�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.

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