Order-Optimal Rate of Caching and Coded Multicasting with Random Demands

IEEE Transactions on Information Theory

Volumn 63, Issue 6, 2017, Pages 3923-3949

  Ji, Mingyue ^a   Tulino, Antonia M ^b,c   Llorca, Jaime ^c   Caire, Giuseppe ^d  

^a University of Utah   (United States)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c LUCENT TECHNOLOGIES   (United States)

^d TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

coded caching; Content distribution; index coding; order optimal rate; random demands

Indexed keywords

COMPUTER APPLICATIONS; INFORMATION THEORY;

CODED CACHING; CONTENT DISTRIBUTION; INDEX CODING; OPTIMAL RATE; RANDOM DEMAND;

MULTICASTING;

EID: 85028300573     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2017.2695611     Document Type: Article

References (42)

1. The Zettabyte Era-Trends and Analysis, San Jose, CA, USA, Cisco, 2013.
2. C. Müller, S. Lederer, and C. Timmerer, "An evaluation of dynamic adaptive streaming over HTTP in vehicular environments, " in Proc. 4th ACM Workshop Mobile Video, 2012, pp. 37-42
3. I. Baev and R. Rajaraman, "Approximation algorithms for data placement in arbitrary networks, " in Proc. 12th Annu. ACM-SIAM Symp. Discrete Algorithms, 2001, pp. 661-670.
4. I. Baev, R. Rajaraman, and C. Swamy, "Approximation algorithms for data placement problems, " SIAM J. Comput., vol. 38, no. 4, pp. 1411-1429, 2008.
5. S. Borst, V. Gupta, and A. Walid, "Distributed caching algorithms for content distribution networks, " in Proc. INFOCOM, 2010, pp. 1-9.
6. P. Krishnan, D. Raz, and Y. Shavitt, "The cache location problem, " IEEE/ACM Trans. Netw., vol. 8, no. 5, pp. 568-582, May 2000.
7. M. R. Korupolu and M. Dahlin, "Coordinated placement and replacement for large-scale distributed caches, " IEEE Trans. Knowl. Data Eng., vol. 14, no. 6, pp. 1317-1329, Nov. 2002.
8. P. Cao and S. Irani, "Cost-aware www proxy caching algorithms, " in Proc. Usenix Symp. Internet Technol. Syst., vol. 12, no. 97, pp. 193-206, 1997.
9. J. Wang, "A survey of Web caching schemes for the Internet, " SIGCOMM Comput. Commun. Rev., vol. 29, no. 5, pp. 36-46, Oct. 1999.
10. L. Breslau, P. Cao, L. Fan, G. Phillips, and S. Shenker, "Web caching and Zipf-like distributions: Evidence and implications, " in Proc. 18th Annu. Joint Conf. IEEE Comput. Commun. Soc. (INFOCOM), vol. 1. Mar. 1999, pp. 126-134.
11. K. Shanmugam, N. Golrezaei, A. Dimakis, A. Molisch, and G. Caire, "Femtocaching: Wireless video content delivery through distributed caching helpers, " IEEE Trans. Inf. Theory, vol. 59, no. 12, pp. 8402-8413, Dec. 2013.
12. J. Llorca, A. Tulino, K. Guan, and D. Kilper, "Network-coded cachingaided multicast for efficient content delivery, " in Proc. IEEE (ICC), Apr. 2013, pp. 3557-3562.
13. M. A. Maddah-Ali and U. Niesen, "Fundamental limits of caching, " IEEE Trans. Inf. Theory, vol. 60, no. 5, pp. 2856-2867, May 2014.
14. M.-A. Maddah-Ali and U. Niesen, "Decentralized coded caching attains order-optimal memory-rate tradeoff, " IEEE/ACM Trans. Netw., vol. 23, no. 4, pp. 1029-1040, 2015.
15. U. Niesen and M. A. Maddah-Ali, "Coded caching with nonuniform demands, " IEEE Trans. Inf. Theory, vol. 63, no. 2, pp. 1146-1158, Feb. 2017.
16. M. Ji, G. Caire, and A. F. Molisch, "The throughput-outage tradeoff of wireless one-hop caching networks, " IEEE Trans. Inf. Theory, vol. 61, no. 12, pp. 6833-6859, Dec. 2015.
17. M. Ji, G. Caire, and A. F. Molisch, "Wireless device-to-device caching networks: Basic principles and system performance, " IEEE J. Sel. Areas Commun., vol. 34, no. 1, pp. 176-189, Jan. 2016.
18. M. Ji, G. Caire, and A. F. Molisch, "Fundamental limits of caching in wireless D2D networks, " IEEE Trans. Inf. Theory, vol. 62, no. 2, pp. 849-869, Feb. 2016.
19. A. F. Molisch, G. Caire, D. Ott, J. R. Foerster, D. Bethanabhotla, and M. Ji, "Caching eliminates the wireless bottleneck in video aware wireless networks, " Adv. Electr. Eng., vol. 2014, Apr. 2014, Art. no. 261390. [Online]. Available: http://dx. doi.org/10. 1155/2014/261390
20. M. Ji, A. Tulino, J. Llorca, and G. Caire, "On the average performance of caching and coded multicasting with random demands, " in Proc. 11th Int. Symp. Wireless Commun. Syst. (ISWCS), 2014, pp. 922-926.
21. M. Ji, A. M. Tulino, J. Llorca, and G. Caire, "Caching and coded multicasting: Multiple groupcast index coding, " in Proc. IEEE Global Conf. Signal Inf. Process. (GlobalSIP), Apr. 2014, pp. 881-885.
22. M. Ji, A. M. Tulino, J. Llorca, and G. Caire, "Caching-aided coded multicasting with multiple random requests, " in Proc. IEEE Inf. Theory Workshop (ITW), Apr. 2015, pp. 1-5.
23. N. Karamchandani, U. Niesen, M. A. Maddah-Ali, and S. Diggavi, "Hierarchical coded caching, " IEEE Trans. Inf. Theory, vol. 62, no. 6, pp. 3212-3229, Jun. 2016.
24. M. Ji, A. M. Tulino, J. Llorca, and G. Caire, "Caching in combination networks, " in Proc. 49th Asilomar Conf. Signals, Syst. Comput., Nov. 2015, pp. 1269-1273.
25. J. Zhang, X. Lin, and X. Wang, "Coded caching under arbitrary popularity distributions, " in Proc. IEEE ITA, Feb. 2015, pp. 98-107.
26. A. Sengupta, R. Tandon, and T. C. Clancy, "Fundamental limits of caching with secure delivery, " IEEE Trans. Inf. Forensics Security, vol. 10, no. 2, pp. 355-370, Feb. 2015.
27. Y. Birk and T. Kol, "Informed-source coding-on-demand (ISCOD) over broadcast channels, " in Proc. INFOCOM 7th Annu. Joint Conf. IEEE Comput. Commun. Soc., vol. 3. Mar. 1998, pp. 1257-1264.
28. Z. Bar-Yossef, Y. Birk, T. S. Jayram, and T. Kol, "Index coding with side information, " IEEE Trans. Inf. Theory, vol. 57, no. 3, pp. 1479-1494, Mar. 2011.
29. M. Cha, H. Kwak, P. Rodriguez, Y. Ahn, and S. Moon, "I tube, You Tube, everybody tubes: Analyzing the world's largest user generated content video system, " in Proc. 7th ACM SIGCOMM Conf. Internet Meas., Apr. 2007, pp. 1-14.
30. M. Hefeeda and O. Saleh, "Traffic modeling and proportional partial caching for peer-to-peer systems, " IEEE/ACM Trans. Netw., vol. 16, no. 6, pp. 1447-1460, Jun. 2008.
31. E. Bastug, M. Bennis, and M. Debbah, "Living on the edge: The role of proactive caching in 5G wireless networks, " IEEE Commun. Mag., vol. 52, no. 8, pp. 82-89, Aug. 2014.
32. M. S. ElBamby, M. Bennis, W. Saad, and M. Latva-Aho, "Contentaware user clustering and caching in wireless small cell networks, " in Proc. 11th Int. Symp. Wireless Commun. Syst. (ISWCS), Sep. 2014, pp. 945-949.
33. P. Blasco and D. Gunduz, "Learning-based optimization of cache content in a small cell base station, " in Proc. IEEE Int. Conf. Commun. (ICC), Apr. 2014, pp. 1897-1903.
34. A. Blasiak, R. Kleinberg, and E. Lubetzky. (Apr. 2010). "Index coding via linear programming. " [Online]. Available: https://arxiv.org/abs/1004. 1379
35. S. A. Jafar, "Topological interference management through index coding, " IEEE Trans. Inf. Theory, vol. 60, no. 1, pp. 529-568, Jan. 2014.
36. D. Zuckerman, "Linear degree extractors and the inapproximability of max clique and chromatic number, " in Proc. 38th Annu. ACM Symp. Theory Comput., 2006, pp. 681-690.
37. K. Shanmugam, M. Ji, A. M. Tulino, J. Llorca, and A. G. Dimakis, "Finite-length analysis of caching-aided coded multicasting, " IEEE Trans. Inf. Theory, vol. 62, no. 10, pp. 5524-5537, Oct. 2016.
38. M. Ji, A. M. Tulino, J. Llorca, and G. Caire. (Feb. 2015). "Order-optimal rate of caching and coded multicasting with random demands. " [Online]. Available: https://arxiv.org/abs/1502. 03124
39. A. H. Land and A. G. Doig, "An automatic method of solving discrete programming problems, " Econ. J. Econ. Soc., 1960, pp. 497-520.
40. M. Ji, K. Shanmugam, G. Vettigli, J. Llorca, A. M. Tulino, and G. Caire, "An efficient multiple-groupcast coded multicasting scheme for finite fractional caching, " in Proc. IEEE Int. Conf. Commun. (ICC), Apr. 2015, pp. 3801-3806.
41. G. Grimmett and D. Stirzaker, Probability and Random Processes, vol. 80. Oxford, U. K.: Oxford Univ. Press, 2001.
42. S. Boucheron, G. Lugosi, and P. Massart, Concentration Inequalities: A Nonasymptotic Theory of Independence. Oxford, U. K.: Oxford Univ. Press, 2013.