论文标题

两个鸡蛋任何样式 - 概括鸡蛋滴定实验

Two eggs any style -- generalizing egg-drop experiments

论文作者

Parks, Harold R., Wills, Dean C.

论文摘要

Konhauser,Velleman和后来由Boardman概括的Konhauser,Velleman和Wagon提出的卵滴实验进一步推广到另外两种类型。在二进制决策树的背景下,检查了所考虑的三种单独类型的卵滴实验。结果表明,所有三种类型的鸡蛋滴定实验都是二进制决策问题,可以使用非冗余算法有效地解决,这是此处介绍的一类算法。先前的理论结果应用于三种类型的卵滴实验,以计算每个建筑物的最大高度,可以使用给定数量的鸡蛋滴管来处理。

The egg-drop experiment introduced by Konhauser, Velleman, and Wagon, later generalized by Boardman, is further generalized to two additional types. The three separate types of egg-drop experiment under consideration are examined in the context of binary decision trees. It is shown that all three types of egg-drop experiment are binary decision problems that can be solved efficiently using a non-redundant algorithm -- a class of algorithms introduced here. The preceding theoretical results are applied to the three types of egg-drop experiment to compute, for each, the maximum height of a building that can be dealt with using a given number of egg-droppings.

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