question archive Batman has gone out for a night of crime ghting to an alley frequented by criminals
Subject:MathPrice: Bought3
Batman has gone out for a night of crime ghting to an alley frequented by criminals. Criminals
arrive to the alley according to a Poisson Process with rate of 1 per 5 minutes. Using standard bad
guys techniques, they only attack the Dark Knight one at a time. It takes our hero an exponential
amount of time to knock each one out with an average of 1 minute. Due to the size of the alley,
there can be at most 5 conscious criminals. Develop a CTMC model for number of conscious bad
guys.