Koruyucu servislerde talep kabulü ve çizelgeleme

In this study, we focus on a one server queue with exponential service times. We assume that the server provides colonoscopy service. We consider the capacity rationing of this facility within patients coming from different risk groups, the highest risk corresponding to colorectal-cancer patients. We assume that the facility providing the screening/diagnostic procedure operates in a dynamic random environment, which determines the demand for diagnostic services. The random environment represents the health of the population, where if the health of the population is better, the demand rate of symptomatic patients is lower. The system can exercise admission or scheduling or both controls. Scheduling lower risk patients is the screening process, improving the health of the whole population in the long run. We consider three different models, depending on which of the controls is used. The objective is to minimize the long-run average costs. We establish the existence of optimal monotone policies under certain conditions. We study the effects of system parameters on the optimal policy and performance measures through a numerical study.In the second part of the thesis, we use compartmental model to investigate the effects of operational controls on population dynamics. We use a four-stage health model. We create four scenarios where the difference rises due to the allocation of the resources. We present a numerical analysis that compares the performances of the different scheduling strategies and explore the effect of system parameters in detail.