Hastane Polikliniği İçin Kuyruk Modelleri Kullanılarak Bekleme Süresi ve Hizmet Verimliliği Analizi

In this study, M/M/m and G/G/m queueing theory models are investigated to reduce waiting times and improve service efficiency in the neurology outpatient clinic of a university hospital. Different number of doctors and patient density scenarios are evaluated and the performance of both models is analyzed. In low and medium density scenarios, the G/G/m model was found to be more flexible and efficient, keeping waiting times and queue lengths at lower levels. The M/M/m model, on the other hand, showed good results at low density, but showed instability, especially under high patient density. The analysis revealed that keeping the number of doctors between 9 and 10 provides optimal results in reducing waiting times and improving service efficiency. In high density scenarios, both models are inadequate, necessitating the use of more advanced simulation and optimization methods. As a result, it is recommended that the number of doctors should be carefully planned, uncertainties in service times should be reduced and the G/G/m model should be preferred to optimize outpatient service processes. This study provides important strategies for increasing operational efficiency and improving patient satisfaction.