H. Che, Y. Tung, and Z. Wang, Hierarchical Web caching systems: modeling, design and experimental results, IEEE Journal on, vol.20, issue.7, pp.1305-1314, 2002.

, Cisco visual networking index: Global mobile data traffic forecast update, 20162021 white paper, CISCO, Tech. Rep, 2017.

K. Shanmugam, Femtocaching: Wireless video content delivery through distributed caching helpers, IEEE Transactions on Information Theory, vol.59, issue.12, pp.8402-8413, 2013.

N. Golrezaei, Femtocaching: Wireless video content delivery through distributed caching helpers, IEEE INFOCOM 2012, pp.1107-1115, 2012.

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.

K. Naveen, On the interaction between content caching and request assignment in cellular cache networks, 5th Workshop on All Things Cellular: Oper., Applic, and Challenges, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01244774

A. Tuholukova, G. Neglia, and T. Spyropoulos, Optimal cache allocation for Femto helpers with joint transmission capabilities, ICC 2017, IEEE International Conference on Communications, Communications QoS, Reliability, and Modeling Symposium, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01668203

A. Chattopadhyay and B. Blaszczyszyn, Gibbsian on-line distributed content caching strategy for cellular networks, IEEE Trans. on Wireless Communications, vol.17, issue.2, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01401010

B. Blaszczyszyn and A. Giovanidis, Optimal geographic caching in cellular networks, IEEE ICC 2015, pp.3358-3363, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01069678

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, pp.1-27, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01648129

M. Leconte, Placing dynamic content in caches with small population, IEEE INFOCOM 2016, 2016.

A. Giovanidis and A. Avranas, Spatial multi-lru caching for wireless networks with coverage overlaps, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01278818

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, ser. ACM-ICN '15, pp.79-88, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01291397

M. Garetto, E. Leonardi, and V. Martina, A unified approach to the performance analysis of caching systems, ACM Trans. Model. Perform. Eval. Comput. Syst, vol.1, issue.3, p.28, 2016.

S. Traverso, Temporal Locality in Today's Content Caching: Why It Matters and How to Model It, SIGCOMM Comput. Commun. Rev, vol.43, issue.5, pp.5-12, 2013.

G. Neglia, D. Carra, M. Feng, V. Janardhan, P. Michiardi et al., Access-time-aware cache algorithms, ACM Trans. Model. Perform. Eval. Comput. Syst, vol.2, issue.4, pp.1-21, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01402425

A. Dan and D. Towsley, An approximate analysis of the lru and fifo buffer replacement schemes, Proceedings of the 1990 ACM SIGMETRICS Conference on Measurement and Modeling of Computer Systems, ser. SIGMETRICS '90, pp.143-152, 1990.

R. Fagin, Asymptotic miss ratios over independent references, Journal of Computer and System Sciences, vol.14, issue.2, pp.222-250, 1977.

M. Garetto, E. Leonardi, and S. Traverso, Efficient analysis of caching strategies under dynamic content popularity, IEEE INFOCOM 2015, pp.2263-2271, 2015.

P. R. Jelenkovic, Asymptotic approximation of the move-tofront search cost distribution and least-recently used caching 13 fault probabilities, The Annals of Applied Probability, vol.9, issue.2, pp.430-464, 1999.

C. Fricker, P. Robert, and J. Roberts, A versatile and accurate approximation for LRU cache performance, Proceedings of the 24th International Teletraffic Congress, p.8, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00671937

N. C. Fofack, P. Nain, G. Neglia, and D. Towsley, Performance evaluation of hierarchical TTL-based cache networks, Computer Networks, vol.65, pp.212-231, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01094694

R. W. Wolff, Stochastic modeling and the theory of queues, 1989.

A. Pelizzola, Cluster variation method in statistical physics and probabilistic graphical models, Journal of Physics A: Mathematical and General, vol.38, issue.33, p.309, 2005.

G. Neglia, Access-time aware cache algorithms, ITC28, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01402425

H. P. Young, The Evolution of Conventions, Econometrica, vol.61, issue.1, pp.57-84, 1993.

, Openmobilenetwork

G. Neglia, D. Carra, and P. Michiardi, Cache Policies for Linear Utility Maximization, IEEE/ACM Transactions on Networking, vol.26, issue.1, pp.302-313, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01442693

,

P. Konstantopoulos and J. Walrand, A quasi-reversibility approach to the insensitivity of generalized semi-markov processes, Probability in the Engineering and Informational Sciences, vol.3, issue.3, pp.405-415, 1989.