On an island, a group of people are living until a visitor arrives with an odd directive: everyone with blue eyes must leave the island as quickly as possible. Every evening, a flight will depart at 8:00. Everyone can see the colour of everyone else's eyes, but they are blind to their own (nor is anyone allowed to tell them). They also do not know the number of persons who have blue eyes, but they do know that at least one person has them. How long will it take the folks with blue eyes to leave?

On an island, a group of people are living until a visitor arrives with an odd directive: everyone with blue eyes must leave the island as quickly as possible. Every evening, a flight will depart at 8:00. Everyone can see the colour of everyone else's eyes, but they are blind to their own (nor is anyone allowed to tell them). They also do not know the number of persons who have blue eyes, but they do know that at least one person has them. How long will it take the folks with blue eyes to leave?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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