Models for Hospital Census Prediction And Allocation

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Models for Hospital Census Prediction And Allocation
Nguyen, Khanh-Luu Thi
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In the following analysis, advantage is taken of this characteristic.
* * Property 1. The state probabilities P.(m) for the M/E./s ./s N+1 queueing system retain the Poisson characteristic for states m = 0,1 ,2,. . . ,s ., i.e..
P*(0)H-) m \ m=0,l,2,...,s.
3 P.- m! j P.(m) = { unknown m=s.+l ,. . . ,s .+s N+ , m > s j+ s N+] * P.(0) cannot be defined precisely, since the availability of central pool beds depends on the overflow probabilities of other services in the hospital system. However, du
...e to the fact that the relationships between the first s. states are unchanged, it follows that the relative rela- tionships between state probabilities are of the form P > + "' P j (m) S^ifTT --0.1.2......J-1 .
44 Property 2. The sum of state probabilities over states m = s,+l , . . . ,s .+s., + , for the M/E, /s ./s^ + -| queueing system is bounded above by that of the M/E./s./s , queueing system, i.e., I Pj(m) - m=s.+l J S j +S N + 1 I PA*) m=s.+l J J J Proof. Consider the M/E./s ./s^ +1 queueing system, whose state probabilities are described by the truncated Poisson distribution.


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