## 5 Conclusions and Future Work  
At the dawn of the 6G era, the management and orchestration of NGN resources for performance-sensitive user-centric applications must be shaped into a highly eligible process. However, a significant number of performance-driven procedures focus on either SP-based or delay-based unidimensional path enumeration techniques. The goal of this study is to propose a modern performance-oriented multidimensional path evaluation methodology and demonstrate the distinctive differences to other already-established strategies. The QUAKE composition, by synthesizing four key metrics corresponding to different critical aspects of performance, provides a comprehensive description of candidate paths, never before available in this field. Furthermore, by integrating the Wii determination system, critical adjustability to all user-centric specifications is obtained. The experimental results of the first scenario show that 62.5% and 50% of highlighted path evaluations proposed by the SP- and \(L\)-based strategies, respectively, suffer from moderate performance-oriented values compared to the Wii-enabled QUAKE metric. Likewise, the results of the second scenario reveal that QUAKE yields more suitable path rankings by 50% in contrast to its traditional counterparts. Contrary to the SP- and delay-based strategies, QUAKE highlights more reliable and performance-driven paths and at the same time adjusts its calculations to the specific application-based profile. By providing the means to identify intricate user-specific parameters and customize the impact of the elements of QUAKE, incoming 6G-based human-centric VNRs are more reliably served and users are benefited with better QoE scores. Notwithstanding this, the contribution of this research can be further enriched to develop a more sophisticated resource allocation strategy. For instance, to scale the developed solution for highly heterogeneous environments like 6G and beyond, the development of metric compositions that can provide a wider range of network-centric or user-specific  
Figure 9: Fluctuation of the values of QUAKE per Wii combination. options is needed. Thus, QUAKE can be further synthesized with the already-implemented energy-aware WPI or reliability-based PaSS metrics, proposed in the authors' previously published work [49; 50]. Moreover, since the current solution is modeled to scale with small and medium-sized SNs, the redesigning of the proposed QUAKE-driven framework to work in deterministic runtime with larger SNs is a goal of a forthcoming study, by solving the VNE problem with relaxed variants of the original formulations. Finally, the Wii calculation mechanism can be thoroughly experimented upon. The identification of the exact applied Wii combination and its governance can be achieved by either robust deterministic frameworks or intelligent managing systems. This topic may be the subject of future work. Conceptualization, S.P., P.A.K. and P.T. ; methodology, P.A.K. and P.T. ; software, S.P. and P.T. ; validation, S.P., P.A.K. and P.T. ; investigation, S.P. ; resources, P.A.K. and P.T. ; data curation, S.P. ; writing--original draft preparation, S.P. ; writing--review and editing, S.P., P.A.K. and P.T. ; supervision, P.A.K. and P.T. All authors have read and agreed to the published version of the manuscript. This research received no external funding. Not applicable. Informed Consent Statement: Informed consent was obtained from all subjects involved in the study. Path Algebra-Driven Classification Solution to Realize Performance-Oriented VNE Embeddings. IEEE Dataport [[https://dx.doi.org/10.21227/r727-xx02](https://dx.doi.org/10.21227/r727-xx02)]([https://dx.doi.org/10.21227/r727-xx02](https://dx.doi.org/10.21227/r727-xx02)), accessed on 23 August 2024. This work has been partially supported by SAFE-6G, which is funded by the Smart Networks and Services Joint Undertaking (SNS JU), under the European Union's Horizon Europe research and innovation program, under Grant Agreement No. 101139031.