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An airport hotel has 100 rooms. On any given night, it takes up to 105 reservations, because of the possibility of no-shows. Past records indicate that the number of daily reservations is uniformly distributed over the integer range [96, 105]. That is, each integer number in this range has an equal probability, .1, of showing up. The no-shows are represented by the distribution in Table.
Number |
|
of No-Shows |
Probability |
0 |
.10 |
1 |
.20 |
2 |
.25 |
3 |
.30 |
4 |
.10 |
5 |
.05 |
Develop a simulation model to find the following measures of performance of this booking system: the expected number of rooms used per night and the percentage of nights when more than 100 rooms are claimed.
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