A Branch and Bound Algorithm for Ternary Covering Arrays Construction Using Trinomial Coefficients
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چکیده
A ternary covering array (CA(N ; t, k, 3)) is an N × k array with entries from the set {0, 1, 2} where every N × t subarray contains each of the 3 combinations at least once. Here, t is called the strength, k the degree or number of factors, and the alphabet is set to 3. Covering arrays (CAs) are combinatorial designs that have applications in experimental designs and they have been proved to be useful in software and hardware testing. This paper presents a Branch & Bound algorithm for constructing small instances of ternary CAs using trinomial coefficients. As a result, we derived direct constructions for some ternary CAs.
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تاریخ انتشار 2010