Unnecessary delay on queues at hospitals and lack of access to care are associated to loss of lives. In this study we analyze the flow of inpatients in order to find out the appropriate number of beds needed to realize a smooth flow at points where congestion existed in a Nigerian university teaching hospital. Basic hospital statistics, like percentage occupancy, bed turnover rate, etc., are computed and we use queuing model to analyze patient flow and allocation of beds and demonstrate that patient flow in the hospital can be modeled using Erlang loss model.
The geometric convergence ratio, the main focus of a discretized scheme for constrained quadratic control problem was examined. In order to allow for the numerical applications of the developed scheme, discretizing the time interval and using Eulers scheme for its differential constraint obtained a finite dimensional approximation. Applying the penalty function method, an unconstrained problem was obtained on function minimization with bilinear form expression. This finally led to the construction of an operator. The Scheme was applied to a sampled problem and it exhibited geometric convergence ratio, α, in the open interval (0, 1) as depicted in column 6 of Table 1
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