Page 167 - 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




          In the context of enabling network slicing in 5G net-  Blogowski et al. in [18] deal with the particular scenario
          works, there is a myriad of papers that propose archi-  when two MNOs have to deploy BSs over a given set of
          tectures or test prototypes based on (i) NFV and/or  candidate sites. For each site, each MNO has to decide
          SDN (see e.g, [35, 36, 85, 86, 113, 119]), (ii) changes to  whether to install a BS or not; in the former case, if
          the RAN protocol stack (see e.g., [48,116,124]), or (iii)  both MNOs decide to install a BS, it is assumed that it
          using features of the new 5G radio ([44]) etc. In partic-  is profitable for both to install a single shared BS. The
          ular, the work in [29] proposes an architecture to sup-  problem is formulated as a non-cooperative game where
          port network slicing in ultra-dense networks, the one in  the payoff of each player (MNO) is given by its total
          [74] presents an architecture that supports Internet Of  profit (revenues - cost), calculated over all BSs. It is as-
          Things (IoT) slices whereas the one in [129] dwells on  sumed that each site can serve a given (arbitrary) num-
          combining 3GPP specifications for 5G with NFV.       ber of users, e.g., those under its coverage area, which
                                                               means there are no capacity constraints associated with
          3.4 Energy efficiency                                the sites. Instead, coverage constraints are present and
                                                               they are expressed as a minimum percentage of users to
          Infrastructure and spectrum sharing allow to reduce the  be served by each MNO (a common constraint associ-
          energy-consumption OPEX cost particularly in cases   ated for spectrum licensees). When the coverage con-
          when the aggregated network resources (infrastructure  straint is absent, MNOs can decide independently for
          and/or spectrum) are redundant. For instance, in ru-  each site. Otherwise, the game is no longer separable.
          ral areas where capacity is not an issue, MNOs can de-  The authors describe the propriety of the Nash equilib-
          commission a subset of the aggregated BSs and/or op-  ria of the game for different relationships of the payoff
          erate at a subset of the aggregated frequency carriers  matrix (i.e., by establishing relations between the pay-
          [49], which reduces the energy consumption and (indi-  offs obtained under different strategy profiles) and also
          rectly) the environmental impact. In these lines, since  suggest a centralized solution which Pareto dominates
          MNOs dimension their networks based on the peak-     all Nash Equilibria.
          load traffic predictions, there is intrinsically resource
          redundancy during the off-peak periods in their indi-  [108,109,127] address the problem of infrastructure and
          vidual networks.  Consequently, MNOs can agree to    spectrum sharing arising when a set of MNOs, each
          roam users of each other during the off-peak periods,  with a given number of users (market share) and own
          e.g., overnight, and switch off a subset of their BSs (see  spectrum license, plan a greenfield Long-Term Evolu-
          e.g., [13, 21]). While the vast majority of infrastruc-  tion (LTE) deployment. The strategic problem of coali-
          ture (and spectrum) sharing problems revolve around  tion formation, namely, which subsets of MNOs volun-
          economic and technical aspects, some papers (see e.g.,  tarily sign long-term infrastructure and spectrum shar-
          [12–15,19–22,46,61,84,103,110–112,143]) have taken an  ing agreements, is modeled by means of non-cooperative
          energy-efficiency/green networking perspective.      game theory. We address a very similar problem to
                                                               [108, 109, 127] in [25, 26] resorting to cooperative game
          3.5 Strategic modeling                               theory in [26] and non-cooperative game theory in [25].
                                                               Unlike in [108,109,127], in [25,26] we (i) account for both
          This branch consists of articles that deal with decision-  the technical and economic aspects of sharing reflected
          making problems such as MNOs deciding whether to en-  in the payoff function definition and (ii) do not split the
          ter a sharing agreement or not, SPs selecting InPs from  shared infrastructure cost among MNOs a priori; how
          which to obtain resources etc. In these lines we can  these cost are split is an outcome of the model (game).
          further split this category into two subcategories: (i) in-  In turn in [27], we address a similar scenario to [25,26]
          frastructure sharing among conventional MNOs and (ii)  but without spectrum pooling. Moreover, in [27] we
          infrastructure sharing for decoupled infrastructure from  consider two different cases deriving from two different
          services (involving InPs and SPs etc.). Such articles  perspectives, the one of a regulatory entity favoring the
          naturally resort to mathematical programming and to  users and the MNOs’ perspective as profit-maximizers.
          game theory in particular when the involved actors are  We model the former case through Mixed Integer Linear
          assumed rational, self-interested and payoff-maximizing  Programming and the latter through cooperative game
          entities.                                            theory.
                                                               The authors in [41] consider the case when a set of
          3.5.1 Infrastructure sharing among conven-           MNOs agrees to pool together their current individual
                 tional MNOs                                   RAN networks but make joint decisions for future de-
                                                               commissions, network expansion and upgrades of their
          The following articles concern either greenfield deploy-  shared network; a greedy procedure is proposed to solve
          ment of shared networks [18,25–27,108,109,127] or the  the multi-period network planning.
          case when shared networks are created by pooling to-
          gether the existing network infrastructure of at least two  Similarly to the “sale-leaseback” approach of Tower
          MNOs [39,41,94,126].                                 Companies (see e.g., [90]), the work in [39] assumes a set





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