Page 71 - ITU Journal Future and evolving technologies Volume 2 (2021), Issue 6 – Wireless communication systems in beyond 5G era
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ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 6




             into consideration bidders preferences, bids, bud‑  ent levels of granularity of resources in InP‑MVNO and
             gets, and the demand at the seller’s side in the auc‑  MVNO‑slice users stages. Additionally, the authors ex‑
             tion games.                                       amined the transport and core networks of the 5G net‑
                                                               work. Similar to [28], an end‑to‑end 5G NS was exam‑
           5. Finally, we present the performance evaluation of  ined in [29].  The authors proposed a two‑level cen‑
             the proposed framework via extensive Monte Carlo  tralised resource allocation scheme termed as Upper‑
             simulations. The proposed framework is compared   tier First with Latency‑bounded over‑provision Preven‑
             with schemes in the literature such as a genetic  tion (UFLOP). The UFLOP prevents the overprovisioning
             algorithm‑based dynamic resource allocation (GI‑  of resources between the InP and MVNOs while meeting
             LARE) and the non‑dynamic approach of Static‑     the MVNOs’ Service Level Agreement (SLA) and slice use
             Slicing (SS) schemes.                             cases’ latency requirements.
                                                               In [30, 31], the authors categorised slice users into Guar‑
          1.2 Article organisation                             anteed Bit Rate (GBR) and non‑Guaranteed Bit Rate (non‑
                                                               GBR) users. In [30], the authors proposed a Markov‑
          The rest of the article is structured as follows. We de‑
          vote Section 2 to the discussion of related literature. In  based resource allocation for a multi‑slice multi‑tenant
          Section 3, we focus on the system model.  Section 4  network. The proposed Markov‑based algorithm was
          presents the multi‑domain multi‑tenant auction games  able to characterise and model the stochastic behaviour
          framework. Further, Section 5 describes the resource al‑  of slice use case requirements and channel behaviour.
          location framework in an M‑TTSD 5G NS network. Then  Moreover, the authors [31] proposed an MVNO virtual
          in Section 6, we formulate the M‑TTSD resource allocation  resource allocation architecture to accurately predict the
          problem. Section 7 details the reformulation steps and  bandwidth requirement of different slice use cases, re‑
          proposed solutions. In Section 8, the complexity analysis  spectively. The proposed architecture relies on the Long
          of the proposed solutions is discussed. Then, in Section 9,  Short‑Term Memory (LSTM) neural network for predic‑
          we present the numerical results of the performance eval‑  tion.
          uation. Finally, conclusions are drawn in Section 10.  An iterative double‑auction mechanism for a multi‑tenant
                                                               multi‑domain SDN‑based network was proposed by the
                                                               authors in [32] to maximise the utility of the respective
          2.  RELATED WORK
                                                               MVNOs.
          Our work builds on the Fisher Market (FM), which is one  Whereas the authors in [7] enumerated different business
          of the most widely known models in mathematical eco‑  models for wireless network virtualisation in 5G and be‑
          nomics [11, 12]. In FM, a set of buyers with limited bud‑  yond era. Additionally, the authors did not consider the
          gets (of no intrinsic value) to purchase divisible goods  Radio Access Network (RAN) and multi‑slice characteri‑
          from a set of sellers with the sole aim of maximising their  sation of the network with its diverse QoS requirement.
          respective non‑negative utility [13, 14, 15]. In the same  In [33, 34, 35], a two‑level stackelberg game and win‑
          vein, we liken InPs, MVNOs, SPs, and slice users to sellers  ner determination models for dynamic pricing were pro‑
          and buyers in the M‑TTSD network.                    posed by the authors. The authors considered a tradi‑
          The works in [16, 17, 18, 19] proposed optimisation  tional multi‑tenancy scenario with a single seller (InP)
          frameworks for maximising the utility of slice users in  and multiple buyers (MVNOs). In [34], a hierarchical auc‑
          a single‑domain multi‑tenant network. The proposed   tion model was examined. In [36], the authors considered
          frameworks employed static‑slicing schemes. Network  a hierarchical multi‑tenant network comprising InPs, an
          economics variables such as the budgets of the respective  MVNO, and SPs. The scenario is such that an SP can only
          network players were not considered.                 bid for resources from one MVNO, while the MVNO can
          Contrary to the aforementioned works in [16, 17, 18, 19],  network resources from multiple InPs.
          the authors [20, 21, 22, 23] adopted the network eco‑  Similar to [36], the authors in [37] adapted the Non‑
          nomics variables (such as budget, auctions) in their pro‑  Orthogonal Multiple Access (NOMA) technique to allocate
          posed schemes for ef icient resource allocation. Auction  resources of the MVNOs and SPs. A Tchebycheff technique
          game‑based schemes were proposed for resource alloca‑  was employed in solving the Multi‑Objective resource al‑
          tion between an InP (seller) and MVNOs (buyers).     location Optimisation Problem (MOOP). The authors in
          In [24], the authors proposed a dynamic virtual resource  [38, 39] employed a MOOP technique to the single domain
          allocation framework premised on the widely known bio‑  heterogeneous networks.
          logical population model called Lotka‑Volterra [46]. The  A deep learning‑based caching and leasing framework
          virtual resources of the multiple InPs are centralised and  was proposed in [40] for a traditional single‑domain
          then allocated to MVNOs. Similar to [24], the authors  multi‑tenant network comprising an InP and a set of
          in [25, 26, 27] proposed dynamic resource allocation  MVNOs. The algorithm predicts the resource leasing pat‑
          schemes which are centrally controlled in heterogeneous  terns of respective MVNOs for pro it maximisation.
          networks.                                            In [41, 42], the authors proposed a weighted proportional
          A two‑stage resource allocation scheme for a multi‑tenant  allocation scheme that allocates power in a single‑tier tra‑
          slice network was proposed in [28] to address the differ‑  ditional multi‑tenancy virtual network. A bidding strat‑





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