The worst-case chip problem
In the system level. adaptive fault diagnosis problem we must determine which components (chips) in a system are defective, assuming the majority of them are good. Chips are tested as follows: Take two chips, say x and y, and have x report whether y is good or bad. If x is good, the answer is correct, but if x is bad, the answer is unreliable. One way to identify all defective chips is to identify a single good chip which can then be used to diagnose the other chips; the chip problem is to identify a single C good chip. We show that the chip problem is closely related to a modified majority problem in the worst case and use this fact to obtain upper and lower bounds on algorithms for the chip problem. (C) 2003 Elsevier B.V. All rights reserved.
chip problem fault diagnosis majority problem analysis of algorithms