Page 168 - ITU Journal, Future and evolving technologies - Volume 1 (2020), Issue 1, Inaugural issue
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ITU Journal on Future and Evolving Technologies, Volume 1 (2020), Issue 1




          of self-interested MNOs decide to pool together their re-  acts as the employer whereas the InPs as employees.
          spective network infrastructures and create a Joint Ven-
          ture (JV), responsible for managing their shared net-  Instead, Wei et al. in [147] take a centralized approach.
          work. In turn, MNOs will leaseback network capacity  Specifically, the work in [147] considers multiple InPs
          from the JV. The authors propose a Stackelberg game  and multiple VNOs (analogous to SPs) in the context
          to determine the shares MNOs obtain from the JV and  of WNV. Here, each InP has a given set of users of its
          the prices set by the JV to the MNOs and by the MNOs  own; resources allocated to its own users are referred to
          to their respective users.                           as local slices and the total rate across the local slices
                                                               should be above a given minimum for each InP. Instead,
          Notably, the user perspective is considered in [94], which  resources allocated to users of an MVNO are referred to
          investigates the problem of user-to-BS association when  as foreign slices. Each InP is characterized by a given
          multiple MNOs decide to pool together their respective  bandwidth (number of subchannels) and power budget
          network infrastructures. The authors propose a non-  for the downlink of a BS. The problem consists in deter-
          cooperative game to model the problem of each user   mining the number of subchannels and amount of power
          selecting its serving BS from the shared pool, indepen-  to allocate to each slice by each InP. The objective is to
          dently, so that its individual data rate is maximized.  maximize the total rate across all slices while satisfying
                                                               the bandwidth and power constraints and the minimum
                                                               rate requirement for the local slices of each InP. Conse-
          The work in [126] represents a fresh take on infrastruc-  quently, the problem is formulated by means of an Inte-
          ture sharing. Its authors consider a set of MNOs with  ger Programming (IP) model. In this model an MVNO
          individual but overlapping infrastructures (BSs) and in-  can be simultaneously served by multiple InPs, likewise
          dividual spectrum licenses; in this setting one of the  an InP can simultaneously serve multiple MVNOs.
          MNOs (the buyer) can purchase the use of BSs of the
          other MNOs (the sellers) for serving its own users at  The authors in [156] propose a hierarchical (two layer)
          its own licensed spectrum. The buyer MNO evaluates   combinatorial auction to model the interactions among
          whether it can provide a given (Quality of Service) QoS  multiple InPs, multiple MVNOs (analogous to SPs), and
          to its own users through its own infrastructure by in-  multiple end users concerning the resource allocation
          creasing the transmission power of its BSs or by pur-  at the BS level (the resources here being transmission
          chasing BSs from the seller MNOs. In the latter case,  power, number of channels and number of antennas).
          the buyer MNO has to decide from which seller MNOs
          to buy from and what fraction of their BSs to purchase  In [28] we propose a novel framework based on a Multi-
          so as to minimize its expenditures while satisfying the  Leader-Follower Game (MLFG) to study the techno-
          QoS of its users. In turn, the seller MNOs have to decide  economic interactions among multiple InPs and multiple
          the fraction of their own BSs to sell so as to maximize  SPs in a 5G context.
          their profit (payment from the buyer MNO minus cost  Table 3 summarizes the main issues that are considered
          of sold BSs) where the competition in quantity among  in this subcategory: what are the actors that intervene
          the seller MNOs is modeled as a Cournot market.      in the infrastructure sharing scheme and what is the
                                                               modelling and mathematical approach that is taken in
          3.5.2 Infrastructure sharing for decoupled in-       each case.
                 frastructure from services
                                                                 Article         Actors           Approach
          We remind the reader that we have discussed the vary-    [30]    many InPs - one SP    contract theory
          ing terminology used across different articles related to  [147]  many InPs - many SPs   IP model
          the infrastructure sharing for decoupled infrastructure  [156]  many InPs - many SPs   auction theory
          from services in Section 3.2 and that we have maintained  [28]  many InPs - many SPs      MLFG
          the authors’ terminology for the considered stakehold-
          ers when describing their articles and, when necessary,  Table 3 – Infrastructure sharing for decoupled infrastructure from
          we provide clarifications on how they compare to our  services
          definitions of InPs and SPs.
          It is worth pointing out that, across the different articles  3.6 Miscellaneous
          very distinct mathematical approaches have been used
          to study the interaction among InPs and SPs.         3.6.1 Infrastructure sharing for mobile net-
                                                                       work segments other than the access
          Rather exceptionally, the study in [30] tackles the in-
          teraction among InPs and MVNOs (analogous to SPs)    Infrastructure sharing and multi-tenancy can also be ap-
          from the MVNO perspective. In fact, the authors in [30]  plied to specific segments of a mobile network other than
          consider multiple InPs but a single MVNO and propose  the access. For instance, the studies in [23,98,128,140,
          a model based on contract theory in which the MVNO   141] address sharing of the backhaul network whereas





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