5. Conclusions
In this paper, we discussed how Queueing Theory can contribute to hospital operations management. Implementing solutions for healthcare systems requires the integration and optimization of resources, and queueing models can help achieve this goal by demonstrating the effect of variability in patient mix for delays, as well as the optimal number of beds and the target service level.
The application of the M/M/s model found the system to be busier than it really was, as the number of patients computed in the system (L) was 22.82 and the hospitalized patients ranged from 12 to 23, an average of 18.5. Even without a high occupation rate (72.8%), the unit had a utilization rate of 84.4%, and 31.89% probability of delay for arriving customers.
Applying the M/G/s/s model for the optimal number of servers in the system, it was found that the number of beds would be 17 instead of 25, with 31.89% probability of delay.
The M/G/∞ model revealed that the required capacity was 21 beds. Regardless of which queueing model was applied, the findings make it clear that there is room for improvement in capacity management. Such decisions might involve finding the right mix of permanent versus temporary workers to balance supply and demand (Roth and Menor, 2003).