改进的自适应群测试算法及其在多址信道和死传感器诊断中的应用
Improved Adaptive Group Testing Algorithms with Applications to Multiple Access Channels and Dead Sensor Diagnosis
摘要：
我们研究组测试算法，用于解决广播冲突的多址接入信道（MAC），并确定在移动自组织无线网络中的死传感器。在分组测试算法中，当我们可以测试任意子集的项目时，我们被要求识别一组项目中的所有缺陷项目。在标准的分组测试问题中，测试的结果是二元的--被测试的子集要么包含有缺陷的项目，要么不包含。在本文研究的更一般的版本中，每个测试的结果都是非二进制的。例如，它可以指示包含在测试子集中的缺陷物品的数量是零、一还是至少两个。我们给出了自适应算法，证明比以前的组测试算法更有效。我们还展示了我们的算法可以应用于解决冲突的MAC和死传感器诊断。与MAC解析相比，失效传感器诊断提出了一个有趣的挑战，因为失效传感器无法在本地检测到，它们本身也不是主动参与者。
英文摘要：
We study group-testing algorithms for resolving broadcast conflicts on a multiple access channel (MAC) and for identifying the dead sensors in a mobile ad hoc wireless network. In group-testing algorithms, we are asked to identify all the defective items in a set of items when we can test arbitrary subsets of items. In the standard group-testing problem, the result of a test is binary--the tested subset either contains defective items or not. In the more generalized versions we study in this paper, the result of each test is non-binary. For example, it may indicate whether the number of defective items contained in the tested subset is zero, one, or at least two. We give adaptive algorithms that are provably more efficient than previous group testing algorithms. We also show how our algorithms can be applied to solve conflict resolution on a MAC and dead sensor diagnosis. Dead sensor diagnosis poses an interesting challenge compared to MAC resolution, because dead sensors are not locally detectable, nor are they themselves active participants.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
