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BOOKS OF RtfiDIfGS - PAHO/WHO

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- 236 -<br />

of (0.02 x 0.065/0.30) x 100 = 0.43% in maximum average occupancy. SIMULATION<br />

<strong>OF</strong> HOSPITAL<br />

Similarly, for percent EMG (Fig. 3b, 40 beds), an error of 2 percent in OCCUPANCY<br />

percent emergency would cause the following error in maximum<br />

average occupancy for the 30 and 50 percent emergency levels:<br />

(0.02 x (0.937 - 0.897)/0.20) x 100 = 0.40%<br />

These figures represent the maximum errors in occupancy. In general<br />

(at different parameter levels) the error will be much smaller because<br />

the differences in the numerator are smaller. The possible errors are<br />

easily calculated from the graphs for an individual case. (It is interesting<br />

that the error increases as the number of beds decreases.)<br />

As with any simulation, there is a certain variability in results<br />

due to pseudorandom generation of numbers. In order to estimate<br />

the variance in occupancy within the simulation, 20 100-week runs<br />

were performed with identical inputs but with different seeds for the<br />

random number generators. The sample standard deviation in mean<br />

percent occupancy between runs was found to be 0.033 percent.<br />

It is possible to estimate the total error in predicted maximum<br />

average occupancy due to the simulation. Assuming that the error<br />

due to pseudorandom number generation is normally distributed<br />

and using a 99-percent confidence interval, the maximum error in<br />

occupancy (percent) is<br />

2.58 x (o-EM 2 + arEL 2 + 'RNp2) X 100<br />

where oE, = the standard deviation of the error due to variation<br />

in percent emergency. The maximum error is already<br />

computed as 0.43 percent. Assuming thie error to be<br />

normally distributed and using 99-percent confidence<br />

intervals<br />

YO -EM 0.43/(2.58 x 100) = 0.00167<br />

oEL = the standard deviation due to variation in percent electives.<br />

The maximum error is computed as 0.40 electives.<br />

Using the same assumptions'as for o'Em<br />

EZL f 0.40/(2.58 X 100) --'0.00155<br />

CraN = the standard deviation due to pseudorandom number<br />

generation. This has previously been found to be<br />

0.00033. Therefore, maximum error in occupancy =<br />

±2.58 x (0.001672 + 0.001552 + 0.000332)J x 100 = +0.594<br />

percent occupancy. This figure, ±0.594 percent occupancy,<br />

is an estimate of the maximum error due to the<br />

sources discussed above.<br />

Restu. . FALL.<br />

1978<br />

The results of the procedures outlined are shown in Figs. 2-5,<br />

and the effects of the different parameters on occupancy are discussed

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