A small store has a parking lot with six available spots. Customers arrive randomly according to a Poisson process at a mean rate of ten customers per hour, and leave immediately if there is no place to park. The time a car remains in the parking lot follows a uniform distribution between ten and thirty minutes.
- What percentage of customers is lost by not having more space available?
- What is the probability of finding an available spot in the parking lot.
- What is the average percentage of available spaces?
I ran a one year simulation, getting the following results:
- 87304 customers arrived, but only 75873 were able to park.
- 11431 customers (13.09%) did not find where to park and left the store.
- Average availability: 37.17%
My question is: how do I get the probability of finding an available spot in the parking lot? Is it the same than the average availability?
Thanks in advanced.