J. Krolikowski, A. Giovanidis, and M. Di-renzo, Fair Distributed Usertraffic Association in Cache Equipped Cellular Networks, WiOpt-CCDWN, pp.1-6, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01380689

J. Krolikowski, A. Giovanidis, and M. Di-renzo, Optimal Cache Leasing from a Mobile Network Operator to a Content Provider, IEEE INFOCOM 2018 -IEEE Conference on Computer Communications, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01663134

J. Krolikowski, A. Giovanidis, and M. Di-renzo, A decomposition framework for optimal edge-cache leasing, IEEE Journal on Selected Areas in Communications, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01810654

, Content delivery in a wireless network

, Three BSs whose coverage areas overlap. Users in the overlap regions can potentially be associated to any covering BS

, A tree-like network

, 26 3.2 Hit ratio for Random content placement policies with fixed cache sizes, Cached wireless network run by the MNO, caches leased by the CP

, A user that can potentially be associated to three CBSs, p.32

, Toy example of network regions

, A network with refined regions consisting of two CBSs, p.43

. .. , 50 4.4 Minimum and maximum load share of a CBS in the network depending on the mean coverage number, p.56

, Aggregate traffic share of large CBSs depending on the amount of small CBSs

, Minimum and maximum load share of a small (2nd tier) CBS depending on the ratio of small CBS number over large CBS number

A. Int16 and ]. .. , Intel Skylake cache levels per core, vol.109

M. Acg`acg-;-g.-acs, P. Conti, C. Gasti, G. Ghali, and . Tsudik, Cache privacy in named-data networking, 2013 IEEE 33rd International Conference on Distributed Computing Systems, pp.41-51, 2013.

A. Araldo, G. Dan, and D. Rossi, Stochastic dynamic cache partitioning for encrypted content delivery, Internet Teletraffic Congress (ITC) 2016, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01383249

M. Al-fares, A. Loukissas, and A. Vahdat, A scalable, commodity data center network architecture, ACM SIGCOMM Computer Communication Review, vol.38, pp.63-74, 2008.

G. Alfano, M. Garetto, and E. Leonardi, Content-centric wireless networks with limited buffers: When mobility hurts

, IEEE/ACM Transactions on Networking, vol.24, issue.1, pp.299-311, 2016.

K. Avrachenkov, J. Goseling, and B. Serbetci, A lowcomplexity approach to distributed cooperative caching with geographic constraints, Proc. ACM Meas. Anal. Comput. Syst, vol.1, issue.1, p.129, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01648129

J. G. Andrews, Seven ways that hetnets are a cellular paradigm shift, IEEE Communications Magazine, vol.51, issue.3, pp.136-144, 2013.

E. Ba¸stu?ba¸stu?-g, M. Bennis, and M. Debbah, Cache-enabled small cell networks: Modeling and tradeoffs, Wireless Communications Systems (ISWCS), pp.649-653, 2014.

E. Ba¸stu?ba¸stu?-g, M. Bennis, and M. Debbah, A transfer learning approach for cache-enabled wireless networks, 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), pp.161-166, 2015.

A. Bestavros, Speculative data dissemination and service to reduce server load, network traffic and service time in distributed information systems, Proceedings of the Twelfth International Conference on, pp.180-187, 1996.

B. Bb-laszczyszyn and A. Giovanidis, Optimal geographic caching in cellular networks, Communications (ICC), 2015 IEEE International Conference on, pp.3358-3363, 2015.

M. Bellare, S. Goldwasser, C. Lund, and A. Russell, Efficient probabilistically checkable proofs and applications to approximations, Proceedings of the Twenty-fifth Annual ACM Symposium on Theory of Computing, STOC '93, pp.294-304, 1993.

S. Borst, V. Gupta, and A. Walid, Distributed caching algorithms for content distribution networks, Proceedings of the 29th Conference on Information Communications, INFO-COM'10, pp.1478-1486, 2010.

B. N. Bharath, K. G. Nagananda, D. Guenduez, and H. V. Poor, Learning-based content caching with time-varying popularity profiles, GLOBECOM 2017 -2017 IEEE Global Communications Conference, pp.1-6, 2017.

A. Brodersen, S. Scellato, and M. Wattenhofer, Youtube around the world: Geographic popularity of videos, Proceedings of the 21st International Conference on World Wide Web, WWW '12, pp.241-250, 2012.

D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods, 1989.

D. Bertsimas and R. Weismantel, Optimization over integers

A. Chattopadhyay, B. Bb-laszczyszyn, and H. P. Keeler, Gibbsian on-line distributed content caching strategy for cellular networks, IEEE Transactions on Wireless Communications, vol.17, issue.2, pp.969-981, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01401010

. Cdl`cdl, , vol.17

W. Chu, M. Dehghan, J. C. Lui, D. Towsley, and Z. ,

. Zhang, Joint Cache Resource Allocation and Request Routing for In-network Caching Services, 2017.

M. Chen, Y. Hao, L. Hu, K. Huang, and V. K. Lau, Green and mobility-aware caching in 5g networks, IEEE Transactions on Wireless Communications, vol.16, issue.12, pp.8347-8361, 2017.

V. , A greedy heuristic for the set-covering problem, Math. Oper. Res, vol.4, issue.3, pp.233-235, 1979.

, Cisco visual networking index: Global mobile data traffic forecast update, vol.6, p.2017

Z. Chen, J. Lee, T. Q. Quek, and M. Kountouris, Cooperative caching and transmission design in cluster-centric small cell networks, IEEE Transactions on Wireless Communications, vol.16, issue.5, pp.3401-3415, 2017.

H. Che, Y. Tung, and Z. Wang, Hierarchical web caching systems: Modeling, design and experimental results, IEEE Journal on Selected Areas in Communications, vol.20, issue.7, pp.1305-1314, 2002.

, Google Data Center FAQ, 2018.

M. Dehghan, W. Chu, P. Nain, and D. Towsley, Sharing LRU cache resources among content providers: A utility-based approach, 2017.

V. G. Douros, S. E. Elayoubi, E. Altman, and Y. Hayel, Caching games between content providers and internet service providers. Performance Evaluation, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01404872

. Djs`djs, , vol.17

M. Dehghan, B. Jiang, A. Seetharam, T. He, T. Salonidis et al., On the complexity of optimal request routing and content caching in heterogeneous cache networks, IEEE/ACM Transactions on Networking, vol.25, issue.3, pp.1635-1648, 2017.

]. M. Dmt`dmt`16, L. Dehghan, D. Massoulie, D. Towsley, Y. C. Menasche et al., A utility optimization approach to network cache design, Computer Communications, IEEE INFOCOM 2016-The 35th Annual IEEE International Conference on, pp.1-9

, IEEE, 2016.

M. Di-renzo, A. Guidotti, and G. E. Corazza, Average rate of downlink heterogeneous cellular networks over generalized fading channels: A stochastic geometry approach, IEEE Trans. on Comm, vol.61, issue.7, pp.3050-3071, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00829266

M. Dehghan, A. Seetharam, B. Jiang, . Ting-he, . Th et al., On the complexity of optimal routing and content caching in heterogeneous networks, IEEE INFOCOM, 2015.

S. Elayoubi and J. Roberts, Performance and cost effectiveness of caching in mobile access networks, Proceedings of the 2nd ACM Conference on Information-Centric Networking, ACM-ICN '15, pp.79-88, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01291397

, European Telecommunications Standards Institute (ETSI)

, on the protection of natural persons with regard to the processing of personal data and on the free movement of such data, and repealing Directive 95/46/EC (General Data Protection Regulation), Official Journal of the European Union, vol.27, pp.1-88, 2016.

U. Feige, A threshold of ln n for approximating set cover

N. C. Fofack, P. Nain, G. Neglia, and D. Towsley, Analysis of ttl-based cache networks, 6th International ICST Conference on Performance Evaluation Methodologies and Tools, pp.1-10, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00760915

A. Giovanidis and A. Avranas, Spatial multi-LRU caching for wireless networks with coverage overlaps. SIGMETRICS Perform, Eval. Rev, vol.44, issue.1, pp.403-405, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01278818

A. M. Geoffrion, Generalized Benders decomposition, Journal of Optimization Theory and Applications, vol.10, pp.237-260, 1972.

N. Gast and B. Van-houdt, TTL approximations of the cache replacement algorithms LRU(m) and h-LRU. Performance Evaluation, vol.117, pp.33-57, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01622059

. Gjs`gjs, , vol.12

R. A. Gorcitz, Y. Jarma, P. Spathis, M. Dias-de-amorim, and R. ,

J. Wakikawa, V. Whitbeck, S. Conan, and . Fdida, Vehicular carriers for big data transfers (poster), Vehicular Networking Conference (VNC), pp.109-114, 2012.

A. Giovanidis, J. Krolikowski, and S. Brueck, A 0-1 program to form minimum cost clusters in the downlink of cooperating base stations, Wireless Communications and Networking Conference (WCNC), pp.940-945, 2012.

N. Golrezaei, A. Molisch, G. Dimakis, and . Caire, Femtocaching and device-to-device collaboration: A new architecture for wireless video distribution, IEEE Communications Magazine, vol.51, issue.4, pp.142-149, 2013.

, Google Data Centers -Eemshaven, 2018.

]. Y. Gxf`gxf`14, Y. Guan, H. Xiao, C. C. Feng, L. J. Shen et al., Mobicacher: Mobility-aware content caching in small-cell networks, 2014 IEEE Global Communications Conference, pp.4537-4542, 2014.

M. Hofmann and L. R. Beaumont, Content networking: architecture, protocols, and practice, 2005.

G. Huston, Web caching, The Internet Protocol Journal, vol.2, issue.3, pp.2-20, 1999.

. Intel, Intel 64 and IA-32 Architectures Optimization Reference Manual, 2016.

Y. Izrailevsky, Completing the Netflix Cloud Migration, 2016.

K. Jaffrès-runser and G. Jakllari, Pcach: The case for precaching your mobile data, 2018.

F. Kelly, Charging and rate control for elastic traffic, Transactions on Emerging Telecommunications Technologies, vol.8, pp.33-37, 1997.

J. Krolikowski, A. Giovanidis, and M. Di-renzo, Optimal cache leasing from a mobile network operator to a content provider, IEEE INFOCOM 2018 -IEEE Conference on Computer Communications, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01663134

J. Krolikowski, A. Giovanidis, and M. Di-renzo, A decomposition framework for optimal edge-cache leasing, IEEE Journal on Selected Areas in Communications, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01810654

J. Krolikowski, A. Giovanidis, and M. Di-renzo, Fair distributed user-traffic association in cache equipped cellular networks, WiOpt-CCDWN, pp.1-6, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01380689

J. Krämer, L. Wiewiorra, and C. Weinhardt, Net neutrality: A progress report, Telecommunications Policy, vol.37, issue.9, pp.794-813, 2013.

J. Liu, B. Bai, J. Zhang, and K. B. Letaief, Cache placement in fog-rans: From centralized to distributed algorithms, IEEE Transactions on Wireless Communications, vol.16, issue.11, pp.7039-7051, 2017.

. Lgp`lgp, , vol.16

E. Lee, M. Gerla, G. Pau, U. Lee, and J. Lim, Internet of vehicles: From intelligent grid to autonomous cars and vehicular fogs, International Journal of Distributed Sensor Networks, vol.12, issue.9, p.1550147716665500, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01398101

. Llr`llr, , vol.12

T. Lauinger, N. Laoutaris, P. Rodriguez, T. Strufe, E. Biersack et al., Privacy implications of ubiquitous caching in named data networking architectures, ISecLab, Tech. Rep, 2012.

. Lls`lls, , vol.17

T. Liu, J. Li, F. Shu, M. Tao, W. Chen et al., Design of contract-based trading mechanism for a small-cell caching system, IEEE Transactions on Wireless Communications, vol.16, issue.10, pp.6602-6617, 2017.

. Lpg`lpg, , vol.16

M. Leconte, G. Paschos, L. Gkatzikis, M. Draief, S. Vassilaras et al., Placing dynamic content in caches with small population, IEEE INFOCOM 2016 -The 35th Annual IEEE International Conference on Computer Communications, pp.1-9, 2016.

J. Leguay, G. S. Paschos, E. A. Quaglia, and B. Smyth, Cryptocache: Network caching with confidentiality, 2017 IEEE International Conference on Communications (ICC), pp.1-6, 2017.

J. Li, S. Shakkottai, J. C. Lui, and V. Subramanian, Accurate learning or fast mixing? dynamic adaptability of caching algorithms, IEEE Journal on Selected Areas in Communications, pp.1-1, 2018.

K. Lim, S. Secci, L. Tabourier, and B. Tebbani, Characterizing and predicting mobile application usage, Computer Communications, vol.95, pp.82-94, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01345824

R. Lan, W. Wang, A. Huang, and H. Shan, Device-to-device offloading with proactive caching in mobile cellular networks, 2015 IEEE Global Communications Conference (GLOBE-COM), pp.1-6, 2015.

. Lxl`lxl, , vol.14

Z. Li, G. Xie, J. Lin, Y. Jin, M. A. Kaafar et al., On the geographic patterns of a large-scale mobile video-ondemand system, IEEE INFOCOM 2014 -IEEE Conference on Computer Communications, pp.397-405, 2014.

M. A. Maddah-ali and U. Niesen, Fundamental limits of caching, IEEE Transactions on Information Theory, vol.60, issue.5, pp.2856-2867, 2014.

]. A. Mcc`mcc`16, C. Mahmood, C. Casetti, P. Chiasserini, J. Giaccone et al., Mobility-aware edge caching for connected cars, Wireless On-demand Network Systems and Services (WONS), 2016 12th Annual Conference on, pp.1-8, 2016.

M. Mangili, F. Martignon, S. Paris, and A. Capone, Bandwidth and cache leasing in wireless information-centric networks: A game-theoretic study, IEEE Transactions on Vehicular Technology, vol.66, issue.1, pp.679-695, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01293897

]. A. Msr`msr`17, S. Mondal, . Sengupta, . Reddy, . Koundinya et al., Candid with youtube: Adaptive streaming behavior and implications on data consumption, NOSSDAV'17, 2017.

J. Mo and J. Walrand, Fair end-to-end window-based congestion control, IEEE/ACM Trans. Netw, vol.8, issue.5, pp.556-567, 2000.

. Mwz`mwz-;-g, Z. Ma, M. Wang, J. Zhang, M. Ye et al., Understanding performance of edge content caching for mobile video streaming, IEEE Journal on Selected Areas in Communications, vol.35, issue.5, pp.1076-1089, 2017.

. Mzs`mzs, , vol.13

A. Mohaisen, X. Zhang, M. Schuchard, H. Xie, and Y. Kim, Protecting access privacy of cached contents in information centric networks, Proceedings of the 8th ACM SIGSAC Symposium on Information, Computer and Communications Security, ASIA CCS '13, pp.173-178, 2013.

G. Neglia, D. Carra, and P. Michiardi, Cache policies for linear utility maximization, 2017 IEEE Conference on Computer Communications, INFOCOM 2017, pp.1-9, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01442693

. Bl-ng, . Evans, D. Sv-hanly, and . Aktas, Distributed downlink beamforming with cooperative base stations, IEEE Transactions on Information Theory, vol.54, issue.12, pp.5491-5499, 2008.

, Netflix open connect overview, 2018.

. Mej-newman, Power laws, pareto distributions and zipf's law. Contemporary physics, vol.46, pp.323-351, 2005.

H. Niu, C. Li, A. Papathanassiou, and G. Wu, Ran architecture options and performance for 5g network evolution, 2014 IEEE Wireless Communications and Networking Conference Workshops (WCNCW), pp.294-298, 2014.

. P. Nmb`nmb`15]-k, L. Naveen, E. Massoulie, A. Baccelli, D. Viana et al., On the interaction between content caching and request assignment in cellular cache networks, ACM, AllThingsCellular '15, pp.37-42, 2015.

N. Nisan, T. Roughgarden, E. Tardos, and V. V. Vazirani, Algorithmic game theory, vol.1, 2007.

H. Pinto, J. Almeida, and M. A. Gonçalves, Using early view patterns to predict the popularity of youtube videos, Proceedings of the sixth ACM international conference on Web search and data mining, pp.365-374, 2013.

G. Paschos, E. Ba¸stu?ba¸stu?-g, I. Land, G. Caire, and M. Debbah, Wireless caching: Technical misconceptions and business barriers, IEEE Communications Magazine, vol.54, issue.8, pp.16-22, 2016.

D. A. Patterson and J. L. Hennessy, Computer Organization and Design: The Hardware/Software Interface, 2007.

K. Poularakis, G. Iosifidis, I. Pefkianakis, L. Tassiulas, and M. May, Mobile data offloading through caching in residential 802.11 wireless networks, IEEE Transactions on Network and Service Management, vol.13, issue.1, pp.71-84, 2016.

K. Poularakis, G. Iosifidis, V. Sourlas, and L. Tassiulas, Exploiting caching and multicast for 5g wireless networks, IEEE Transactions on Wireless Communications, vol.15, issue.4, pp.2995-3007, 2016.

K. Poularakis, G. Iosifidis, and L. Tassiulas, Approximation algorithms for mobile data caching in small cell networks, IEEE Transactions on Communications, vol.62, issue.10, pp.3665-3677, 2014.

G. S. Paschos, G. Iosifidis, M. Tao, D. Towsley, and G. Caire, The Role of Caching in Future Communication Systems and Networks, 2018.

F. D. Pellegrini, A. Massaro, L. Goratti, and R. El-azouzi, A pricing scheme for content caching in 5g mobile edge clouds, 2016 International Conference on Wireless Networks and Mobile Communications (WINCOM), pp.193-198, 2016.

K. Poularakis and L. Tassiulas, Exploiting user mobility for wireless content delivery, IEEE International Symposium on Information Theory, pp.1017-1021, 2013.

K. Poularakis and L. Tassiulas, Code, cache and deliver on the move: A novel caching paradigm in hyper-dense small-cell networks, IEEE Transactions on Mobile Computing, vol.16, issue.3, pp.675-687, 2017.

A. Ruszczy´nskiruszczy´nski, On convergence of an augmented lagrangian decomposition method for sparse convex optimization, Mathematics of Operations Research, vol.20, issue.3, pp.634-656, 1995.

A. Schrijver, Theory of Linear and Integer Programming, 1986.

K. Shanmugam, N. Golrezaei, A. G. Dimakis, A. F. Molisch, and G. Caire, Femtocaching: Wireless content delivery through distributed caching helpers. Information Theory, IEEE Transactions on, vol.59, issue.12, pp.8402-8413, 2013.

D. D. Sleator and . Tarjan, Amortized efficiency of list update and paging rules, Communications of the ACM, vol.28, issue.2, pp.202-208, 1985.

S. Traverso, M. Ahmed, M. Garetto, P. Giaccone, E. Leonardi et al., Unravelling the impact of temporal and geographical locality in content caching systems, IEEE Transactions on Multimedia, vol.17, issue.10, pp.1839-1854, 2015.

A. Tuholukova, G. Neglia, and T. Spyropoulos, Optimal cache allocation for femto helpers with joint transmission capabilities, 2017 IEEE International Conference on Communications (ICC), pp.1-7, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01668203

]. X. Wct`wct`14, M. Wang, T. Chen, A. Taleb, V. Ksentini et al., Cache in the air: exploiting content caching and delivery techniques for 5G systems, IEEE Communications Magazine, vol.52, issue.2, pp.131-139, 2014.

]. S. Wjp`wjp`13, E. Woo, . Jeong, . Sh, J. Park et al., Comparison of caching strategies in modern cellular backhaul networks, Proceeding of the 11th Annual International Conference on Mobile Systems, Applications, and Services, MobiSys '13, pp.319-332, 2013.

T. Wang, L. Song, and Z. Han, Dynamic femtocaching for mobile users, 2015 IEEE Wireless Communications and Networking Conference (WCNC), pp.861-865, 2015.

R. Wang, J. Zhang, K. B. Song, and . Letaief, Mobility-aware caching in d2d networks, IEEE Transactions on Wireless Communications, vol.16, issue.8, pp.5001-5015, 2017.

J. Xu, M. Van-der-schaar, J. Liu, and H. Li, Forecasting popularity of videos using social media, IEEE Journal of Selected Topics in Signal Processing, vol.9, issue.2, pp.330-343, 2015.

C. Yang, Z. Chen, B. Xia, and J. Wang, When icn meets c-ran for hetnets: an sdn approach, IEEE Communications Magazine, vol.53, issue.11, pp.118-125, 2015.

. Cs-yoo, Wireless Network Neutrality: Technological Challenges and Policy Implications, Berkeley Technology Law Journal, vol.31, 2017.