The need for high performance resource allocation schemes for Virtual Private Networks (VPNs) has led to the proliferation of algorithms for VPN resource allocation. It was found that most works on VPN resource allocation focused either on admission control or link reservation on the network. Also, review of relevant literatures has revealed the need for a resource allocation/scheduling scheme whose algorithm will be able to allocate bandwidth and memory resources to different VPNS sharing the same link to the network service provider. Resources should be allocated in such a manner that utilization is optimal while VPN endpoints or customers receive services that do not undermine the service-level agreement (SLA) with the service provider. MATLAB Simulink was used to design a simulation model for analysing the VPN access network obtaining and comparing results for the link bandwidth utilization, buffer memory utilization and packet loss rate performances of the RDVNP (Robust Dynamic Virtual Network Provisioning) algorithm against the DWARF-Net (Dynamic bandwidth Allocation and guarantee on Resource Fairness) algorithm. From the results obtained, DWARF-Net algorithm's performance was better than the RDVNP's algorithm in almost all parameters tested on. On bandwidth utilization, DWARF-Net had an average channel utilization of 61.23% against RDVNP's 48.28%, on buffer utilization 42% for DWARF-Net, 41% for RDVNP and average loss rate average of 1 Packet/second for DWARF-Net against 20 Packets/second for RDVNP. From the simulation analysis and result of this work, DWARF-Net is recommended as an optimal performing algorithm for VPN resource allocation.