Article ID: | iaor20011638 |
Country: | United States |
Volume: | 46 |
Issue: | 6 |
Start Page Number: | 845 |
End Page Number: | 857 |
Publication Date: | Jun 2000 |
Journal: | Management Science |
Authors: | Raz Tzvi, Herer Yale T. |
Keywords: | information theory |
We consider the case of a batch of discrete units produced by a process subject to failures under a known probability distribution function, and apply information theory to the problem of finding the first nonconforming unit in the batch at minimum cost. Two distinct but related aspects of this problem were treated: determining which units should be inspected, and determining how many units should be sent for inspection at the same time. The solution is based on the principles of inspecting the product units that maximize the reduction in the uncertainty regarding the location of the first nonconforming unit, and of minimizing the cost per unit of uncertainty reduced. These principles are formalized by means of a series of theorems leading to an easy-to-implement algorithm for managing parallel inspection. This approach is successfully compared with the optimal solution obtained with dynamic programming and with other heuristics.