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Efficient location of medical services is an issue of paramount importance in healthcare strategic planning. In this research, a mathematical model is developed for the location of multi-service health centers assuming probabilistic demand and service time. Since patients may be shifted to another service after receiving a service by doctors' order, health system is considered a Jackson queue network. The primary factor contributing to patients' choice of one center over another is their proximity to the center. The proposed model seeks to minimize the demand weighted total distance traveled by patients between their residential areas and health centers and also between health centers on the one hand, and the weighted sum of undesired deviations from standard arrival rates at service stations on the other hand. The location of health centers as well as the type of services they offer and the number of servers at each service station are the main determinants of the proposed model. A GAbased heuristic is developed to solve medium and large instances of the proposed model. For evaluation of the suggested heuristic, computational experiments are performed on a number of test problems. Keywords-healthcare system; multi-service health centers; location problem; queuing theory; utility theory

A multi-service Healthcare Network Design with Patients' Choice to Exchange between Services