Continuous Markov chains - vehicle service at a gas station

A gas station has a single pump. There is no space for vehicles to wait. If a vehicle arrives at the pump and there is no place the vehicle leaves without filling at the pump. Vehicles arrive at the gas station following a Poisson process with a rate of 3/20 vehicles per minute. Of the vehicles arriving at the pump, 75% are cars and 25% are motorcycles. The refueling time can be modeled with an exponential random variable with a mean of eight minutes for cars and three minutes for motorcycles.

Getting ready

In order to perform continuous Markov chains for vehicle service at a gas station we shall be simulating data.

How to do it...

Let's get into the details.

Step 1 - preparing the dataset ...

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