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05.05.2020 •
Mathematics
During the course of a day, the vehicle traffic at a certain location varies randomly, changing among light, medium, and heavy. Imagine a three-state continuous time Markov process where changes in traffic density are represented by transitions. Assume the only way to get from light to heavy or vice versa is by way of medium. To be Markovian, the transition times must be exponentially distributed. Assume the parameter values are λ1M-4, λΜ": 3, λΜΗ-2, λ1M :: I in units of transitions per hour. Draw the transition diagram and determine the transition rate matrix
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