In this work, we propose a cross-layer framework for optimizing user association, packet offloading rates, and bandwidth allocation for Mission-Critical Internet-of-Things (MC-IoT) services with short packets in Mobile Edge Computing (MEC) systems, where enhanced Mobile BroadBand (eMBB) services with long packets are considered as background services. To reduce communication delay, the 5th generation new radio is adopted in radio access networks. To avoid long queueing delay for short packets from MC-IoT, Processor-Sharing (PS) servers are deployed at MEC systems, where the service rate of the server is equally allocated to all the packets in the buffer. We derive the distribution of latency experienced by short packets in closed-form, and minimize the overall packet loss probability subject to the end-to-end delay requirement. To solve the non-convex optimization problem, we propose an algorithm that converges to a near optimal solution when the throughput of eMBB services is much higher than MC-IoT services, and extend it into more general scenarios. Furthermore, we derive the optimal solutions in two asymptotic cases: communication or computing is the bottleneck of reliability. Simulation and numerical results validate our analysis and show that the PS server outperforms first-come-first-serve servers. .sg). reliability. Considering that the feedback of Channel State Information (CSI) leads to extra delay, the studies in [19] jointly optimized Uplink (UL) and Downlink (DL) resource configurations without CSI at the transmitters. More recently, how to optimize resource allocation among multiple users with different packet arrival processes was studied in [20].Scheduling policies in computing systems have significant impacts on the Quality-of-Service (QoS) of MC-IoT. A nearoptimal policy to minimize the average latency of short packet is the Shortest Remaining Processing Time (SRPT) first scheduler. Such a scheduler is hard to implement in practice since the remaining processing time is not available at the server, and it requires too many priority levels [21]. To reduce the latency of short packets without introducing priority levels, the Processor-Sharing (PS) server is a possible solution, where the total service rate is equally allocated to all the packets in the server [22]. Although the distribution of latency was derived in the large delay regime in the PS server [23], the latency experienced by short packets remains unclear. To derive the delay bound violation probability of URLLC services, martingales-based analysis, effective capacity, and network calculus were used in [24], [15], and [25], respectively. But all the results were obtained in the FCFS servers. Note that it is very challenging to derive the closed-form expression of the distribution of delay, how to formulate the constraints on delay and reliability of MC-IoT is still unclear.Promising network architectures for MC-IoT were studied in [26][27][28][29][30]. A comprehensive overview on MC-IoT of industrial scenarios was carried out in [26], ...
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