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The development of medicine hand-in-hand with the history of humans. The advent of 5th-generation communication networks have realized the Internet of Things concept and formed a series of smart applications in almost domains such as health-care, agriculture, transportation, retails, etc. In these contexts, the Internet of Medical Things (IoMT) is one of the most attended domains, where the service response time is a key design factor. In this study, we consider the effectiveness of this framework and compare it with the cloud-based computing framework under varying changes in the arrival rate of service requests by queuing models. The simulation results have demonstrated that the proposed fog-to-cloud based computing scheme outperforms cloud-based computing schemes in terms of response time, and meets SLA requirements for real-time IoMT systems. Finally, we discuss challenges to realising real-time …