Section G (Questions 25 ~ 27): Taxis looking for customers a…
Section G (Questions 25 ~ 27): Taxis looking for customers arrive at a taxi station as a Poisson process with rate 1 per minute, while customers looking for taxis arrive as a Poisson process with rate 1.25 per minute. Suppose taxis will wait, no matter how many taxis are in line before them. However, customers who arrive to find 2 other customers in line go away immediately. We will set up a Markov chain with states {2, 1, 0, -1, -2, ….} as states. State 2 means two customers waiting at the taxi station; state 1 means one customer waiting at the taxi station; state -1 means one taxi waiting at the taxi station; state -2 means two taxis waiting at the taxi station and so on.