The concept of detecting arrays was developed to locate and detect interaction faults arising between the factors in a component-based system during software testing. In this paper, we propose a family of consecutive detecting arrays (CDAs) in which the interactions between factors are considered to be ordered. CDAs can be used to generate test suites for locating and detecting interaction faults between neighboring factors. We establish a general criterion for measuring the optimality of CDAs in terms of their size. Based on this optimality criterion, the equivalence between optimum CDAs and consecutive orthogonal arrays with prescribed properties is explored. Using the advantages of this equivalence, a great number of optimum CDAs are presented. In particular, the existence of optimum CDAs with few factors is completely determined.

开发检测阵列的概念是为了在软件测试过程中定位和检测基于组件的系统中因素之间发生的交互故障。在本文中，我们提出了一系列连续检测阵列（CDA），其中因素之间的相互作用被认为是有序的。CDA可用于生成测试套件，以定位和检测相邻因素之间的交互故障。我们建立了衡量CDA最佳规模的一般标准。基于此最优性准则，探索了具有指定特性的最优CDA与连续正交阵列之间的等价关系。利用这种等效性的优点，提出了许多最佳CDA。尤其是，完全确定了具有很少因素的最佳CDA。