Strength two covering arrays: Existence tables and projection

نویسنده

  • Charles J. Colbourn
چکیده

A covering array CA(N; t, k, v) is an N × k array such that every N × t sub-array contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used in experiments to screen for interactions among t-subsets of k components. Strength two covering arrays have been studied from numerous viewpoints, resulting in a variety of computational, direct, and recursive constructions. Consequently, it can be difficult to determine the smallest covering array that results from known construction. To address this, existence tables for the best currently known covering arrays are presented. In the process, a new direct construction from orthogonal arrays is also introduced. © 2007 Elsevier B.V. All rights reserved.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Profiles of covering arrays of strength two

Covering arrays of strength two have been widely studied as combinatorial models of software interaction test suites for pairwise testing. While numerous algorithmic techniques have been developed for the generation of covering arrays with few columns (factors), the construction of covering arrays with many factors and few tests by these techniques is problematic. Random generation techniques c...

متن کامل

Roux-type constructions for covering arrays of strengths three and four

A covering array CA(N ; t, k, v) is an N × k array such that every N × t sub-array contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used to generate software test suites to cover all t-sets of component interactions. Recursive constructions for covering arrays of strengths 3 and 4 are developed, generalizing many “Rouxtype” constructi...

متن کامل

Using the Particle Swarm Optimization Algorithm to Generate the Minimum Test Suite in Covering Array with Uniform Strength

Up to now, several useful algorithms have been proposed to generate covering array, which is one of the branches of combinatorial testing. The main challenge in generating such arrays is generation of the arrays with a minimum number of test cases (for efficiency) at a proper time (for performance), for large systems. Covering array generation strategies are often divided into two general categ...

متن کامل

Improving Two Recursive Constructions for Covering Arrays

Recursive constructions for covering arrays employ small ingredient covering arrays to build large ones. At present the most effective methods are “cut–and–paste” (or Roux-type) and column replacement techniques. Both can introduce substantial duplication of coverage; if unnecessary duplication can be avoided then the recursion can yield a smaller array. Two extensions of covering arrays are in...

متن کامل

Cover starters for covering arrays of strength two

A cover starter is a single vector that yields a covering array under the actions of groups on both the columns and the symbols of the starter. The existence of this compact representation of covering arrays facilitates effective exhaustive and heuristic search. When the group action on symbols fixes a small number f of symbols, such cover starters lead to covering arrays that embed covering ar...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Discrete Mathematics

دوره 308  شماره 

صفحات  -

تاریخ انتشار 2008