To evaluate the impact of the uncertainties of substrate and virtual links, we assume that both the substrate and virtual links' arrival uncertainties follow Poisson processes, and two different scenarios are considered: High uncertainty scenario, where the uncertainties' arrival rate is 0.2 per second, for both substrate and virtual links Medium uncertainty scenario, where the arrival rate is set to 0.1 per second, for both substrate and virtual links' uncertainties The following simulation settings are the same for both the high and medium uncer- tainty scenarios. The duration of the uncertainties of substrate and virtual links follows an exponential distribution with 20 seconds on average. We consider an SN that is randomly generated with 15 nodes and the average substrate node connectivity is 0.5. Let the substrate node capacity be 30 units (number of VNFs). The number of the l type VNF is in propor- tion to q1, which is uniformly distributed within (0,1), where q1 = 1 and lens. In 1<I<L the simulation, we consider a RAN slice to be the data-plane protocol of LTE layer-2. We have L = 3 kinds of VNFs, which are packet data convergence protocol (PDCP), radio link control (RLC), and media access control (MAC) layer protocol functionalities, respectively. Note that the time data of processing of each VNF, such as PDCP, RLC, and MAC, is from real tests of Huawei Technologies Co., Ltd [31]. Let the substrate link bandwidth (i.e. by's) be a number uniformly distributed between 50 and 100 units. The virtual link bandwidth (i.e. by) is also a number uniformly distributed between 1 and 20 units. The indicator A1, where L, is no more than 1 because each VNF appears in an RAN slice at most once. Three types of requests are randomly generated to represent RAN slices of mMTC, eMBB, and URLLC [4], respectively, which are constituted by MAC sublayer, MAC+RLC sublayers, and PDCP+RLC+MAC sublayers, respectively. We assume that the maximum value of virtual link perturbation (i.e. by) is 30% of the nominal value by Similarly, we