A Systematic Approach to Compute All Cyclic Quorum Sets

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2020-01-01
Authors
Bian, Yiming
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Arun K. Somani
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Electrical and Computer Engineering

The Department of Electrical and Computer Engineering (ECpE) contains two focuses. The focus on Electrical Engineering teaches students in the fields of control systems, electromagnetics and non-destructive evaluation, microelectronics, electric power & energy systems, and the like. The Computer Engineering focus teaches in the fields of software systems, embedded systems, networking, information security, computer architecture, etc.

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The Department of Electrical Engineering was formed in 1909 from the division of the Department of Physics and Electrical Engineering. In 1985 its name changed to Department of Electrical Engineering and Computer Engineering. In 1995 it became the Department of Electrical and Computer Engineering.

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1909-present

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  • Department of Electrical Engineering (1909-1985)
  • Department of Electrical Engineering and Computer Engineering (1985-1995)

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Use of quorum sets and cyclic quorum sets have proved to be a very useful method to achieve efficient initial data placement and data communication in distributed computation and communication systems. For example, in all-pairs data interaction problems, cyclic quorum sets can be used to avoid communication completely after initial data placement. Searching for all possible cyclic quorum sets for a given number of objects, P, is a task that requires massive computations. This is known to be a hard problem and no time complexity reduction method has been found thus far. In this paper, we try to optimize the search process by avoiding the search space where it is not possible to find a feasible cyclic quorum base set. By studying all possible cyclic quorum sets for given P, we develop insight into the properties of all quorum sets that helps us to reduce the total number of computations significantly compared to that adopting the naïve exhaustive search. We notice that as P grows, better performance could be achieved.

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Wed Jan 01 00:00:00 UTC 2020