e-journal
Modeling and Analysis of Care Delivery Services Within Patient Rooms: A System-Theoretic Approach
Care services within the patient rooms are the most critical and time consuming processes in patient care deliveries in emergency department, clinics, and other healthcare facilities. In this paper, we introduce a Markov chain model to study such processes. A closed, parallel, and reentrant network with limited resources is used to model the process. Formulas to evaluate the patient length of stay and staff utilizations are developed. System-theoretic properties are discussed. The extension to non-Markovian
scenarios is also investigated. Such a model provides a quantitative tool for healthcare professionals to study and improve patient flow in care deliveries. Notes to Practitioners —Analyzing patient flow plays an important role in improving the performance of healthcare delivery systems. In emergency department and many clinics, the care delivery services within the patient rooms comprise the majority part of patient’s length of stay. It involves multiple services by a limited number of care providers or equipments (physicians, nurses, lab tests, etc.). However, no analytical model exists to study such processes with necessary details in the current literature. In this paper, to analyze the patient flow within patient rooms, a Markov chain model is presented and then extended to address non-Markovian cases. Using such a model, the healthcare professionals can evaluate different scenarios corresponding to
capacity planning, workforce configuration, and service delivery, etc. This provides a quantitative tool for operation improvement in healthcare delivery systems. Index Terms—Length of stay, patient flow, care delivery services, patient room, Markov chain, non-exponential service time.
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