Central topic Markov chains: People who work in the center of a growing city and do not live in the nearby suburbs can commute to their jobs by public buses or using private cars. Currently 25% of such people they use buses and 75% use cars. Due to a reduction in parking space, in the downtown area of ​​the city, the number of buses from the center to the periphery and vice versa, hoping that more and more people will use the buses and thus alleviate the parking problem. City officials expect, based on a population survey worker, that with the additional buses, each year 60% of those who use cars will change to the buses; while 20% of those who use buses will use cars. Officials are interested to know the effect that the use of the additional buses will have in the long term. What will this be?

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Author:Amos Gilat
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Central topic Markov chains:

People who work in the center of a growing city and do not live in the nearby suburbs can commute to their jobs by public buses or using private cars. Currently 25% of such people they use buses and 75% use cars. Due to a reduction in parking space, in the downtown area of ​​the city, the number of buses from the center to the periphery and vice versa, hoping that more and more people will use the buses and thus alleviate the parking problem. City officials expect, based on a population survey worker, that with the additional buses, each year 60% of those who use cars will change to the buses; while 20% of those who use buses will use cars. Officials are interested to know the effect that the use of the additional buses will have in the long term. What will this be?

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