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Yayın Game-day scheduling problem for sport events(Işık Üniversitesi, 2016-01-04) Bilgesu, Duygu; Çavdaroğlu, Burak; Işık Üniversitesi, Fen Bilimleri Enstitüsü, Endüstri Mühendisliği - Yöneylem Araştırması Yüksek Lisans ProgramıIn this research, we first define such a sport event scheduling problem in which the days of the games has to be decided for a given fixture of a sport organization without violating some given restrictions that aim to preserve the equity among competitors. We then develop a mixed integer programming model for the defined problem that uses combinatorial optimization techniques. In the final step, we test our model with the data set of 2013-2014 season of the Turkish Super League (top-tier men's professional football league in Turkey) organized by Turkish Football Federation (TFF)Yayın Assignment problem for home health care services: application at a state hospital in Istanbul(Işık Üniversitesi, 2021-01-14) Özkarlıklı, Emine; Baş Güre, Seda; Atan, Tankut; Işık Üniversitesi, Fen Bilimleri Enstitüsü, Endüstri Mühendisliği - Yöneylem Araştırması Yüksek Lisans ProgramıIn recent years, Home Health Care Services has been growing rapidly due to people who have chronic illnesses or physical disabilities, and an increasingly elderly population. Home Health Care Services provides medical care to patients in their own homes. One of the important problems in the Home Health Care Service is the patient assignment problem. The patient assignment problem decides which operators deliver medical care to which patients over the planning horizon. In this study, an integer linear mathematical model is developed for the patient assignment problem in Home Health Care using real data from one of the largest rehabilitation hospitals in Istanbul, referred to as Hospital X to ensure continuity of care, and balance the operator workloads while keeping patient waiting times low. This model has various specific features of HHCS such as operator’s daily capacity, the compatibility between operator and patient, and the continuity of care constraints. Continuity of care is an important concern to obtain sustainability of health. Thus, the developed model has continuity of care as its primary concern. Moreover, due to variability in the number of patients and growth potential of the physiotherapy and rehabilitation services of Hospital X, a rolling horizon algorithm that iteratively solves an integer linear model is used for assigning patients to operators. The developed model was tested under three different simulated scenarios. Operators serve only one district in scenario 1, two districts in scenario 2, and every district in scenario 3. Results demonstrate the performance of the developed model, especially in terms of provided continuity of care and decreased waiting times and the best results were obtained in the scenario 3 since it has the highest service flexibility.
