Conformal Mapping for Optimal Network Slice Planning Based on Canonical Domains

Abstract

The evolution towards 5G consists of managing highly dynamic networks and making decisions related to the provisioning of networks in an as-a-service and cost-aware fashion. This is translated by 5G verticals that are dedicated to specific services, applications, or use cases fulfilling the constant demand of vertical industries. In this vein, to achieve the high-level goals defined by operators and service providers, and to answer to the elasticity and low-latency specifications of the upcoming 5G mobile system, the optimal placement of virtual network functions must cope with the non-uniform service demands and the irregular nature of network topologies. This paper addresses this issue by mapping the non-uniform distribution of signaling messages in the physical domain to a new uniform environment (i.e., canonical domain) whereby the placement of core functions is more feasible and efficient by means of Schwartz-Christoffel conformal mappings. The experimentation results, compared to some baseline approaches, have proven the efficiency of the conformal mapping based placement in allocating the virtual resources (i.e., virtual CPU and virtual storage) with regard to the optimal end-to-end delay, cost and activated virtual machines. Another interesting contribution is that all placement decisions are based on a realistic spatio-temporal user-centric model, which defines both the mobility of user equipments and the underlying service usage.

A Fuzzy Logic-based Mechanism for An Efficient Cloud Resource Planning

“…In this section, we evaluate the performance of our proposed solution against that of existing base-line approaches, namely the BestFit [21], [22] and conformal mapping [19]. NSP is used to simulate the network and users' behavior, interchangeably UEs, in terms of service consumption and mobility.…”

“…Although in several other deployments, UE-related parameters (e.g., delay and mobility) were neglected, they were considered in the recent work of the authors [14], [19], [23]- [25], [28], [29]. In [14], a new simulator dubbed Network Slice Planner (NSP) was introduced.…”

A Survey on the Placement of Virtual Resources and Virtual Network Functions

“…Finally, although we can find that recently some researchers are working on the study of users' mobility and their service usage behavior, along with the corresponding placement of virtual appliances (i.e. VMs) required for VNFs [161], [165], [170], more research work must be carried out in order to allow a positioning of network functions in closer proximity to service generation, and consequently provide better QoE which would benefit both ISPs and the end users. Also, only a few VNFP solutions, such as in [123], [158], [166], are applied in multiple federated clouds, while most of the surveyed works treat the problem of VNFP within only a single cloud environment (e.g., in [42], [85], [86], [90].…”

A Complete LTE Mathematical Framework for the Network Slice Planning of the EPC

“…There is a rich literature proposing algorithms to embed the whole vEPC or some of its entities in a physical infrastructure [29]- [38]. In [29], Taleb et al propose a heuristic algorithm for virtualized SGWs (vSGWs) embedding.…”