Designing the appointment scheduling is a challenging task for the development\nof healthcare system. The efficient solution approach can provide\nhigh-quality healthcare service between care providers (CP)s and care receivers\n(CR)s. In this paper, we consider the healthcare system with the heterogeneous\nCRs in terms of urgent and routine CRs. Our suggested model assumes\nthat the system gives the service priority to the urgent CRs by allowing\nthem to interrupt the ongoing routine appointments. An appointment handoff\nscheme is suggested for the interrupted routine appointments, and thus\nthe routine CRs can attempt to re-establish the appointment scheduling with\nother available CPs. With these considerations, we study the scheduling performance\nof the system by using the Markov chains based modeling approach.\nThe numerical analysis is reported and the simulation experiment is\nconducted to validate the numerical results.
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