How to Count to One Thousand
研究一个代理在计数过程中可能出错并需重新开始的情况下,如何通过分层分组(如堆叠)最小化期望计数时间,并探讨了错误率对最优组织规模的影响。
An agent must verify that n objects are present. While counting, the agent might lose track and need to start over. The scheme that minimizes the expected counting time involves several layers in which objects are grouped into stacks, which are grouped into stacks of stacks, and so on. The size of each division depends only on the probability of making a mistake; the number of levels in the process increases with the logarithm of the size of the task. Variations on the model are introduced to investigate the optimal size of an organization employing presence of error-prone workers. Copyright 1992 by Royal Economic Society.