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GETTING STARTED WITH ARENA<br />

Discrete: DISCRETE(CumP 1 , Val 1 , . . ., CumP n , Val n ) (c 1 , x 1 , . . ., c n , x n )<br />

Probability<br />

Mass<br />

Function<br />

p(x j ) = c j – c j-1<br />

where c 0 = 0<br />

Cumulative<br />

Distribution<br />

Function<br />

Parameters<br />

The DISCRETE function in Arena returns a sample from a user-defined discrete<br />

probability distribution. The distribution is defined by the set of n possible discrete<br />

values (denoted by x 1 , x 2 , . . . , x n ) that can be returned by the function and the<br />

cumulative probabilities (denoted by c 1 , c 2 , . . . , c n ) associated with these discrete<br />

values. The cumulative probability (c j ) for x j is defined as the probability of obtaining<br />

a value that is less than or equal to x j . Hence, c j is equal to the sum of p(x k ) for k going<br />

from 1 to j. By definition,<br />

c n = 1.<br />

Range {x 1 , x 2 , . . ., x n }<br />

156

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