27 (Internet of Things: IoT 1 (Network Function Virtualization: NFV NFV (Virtual Network Function: VNF VNF 1 NFV VNF VNF NFV VNF VNF NFV 1

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2 27 (Internet of Things: IoT 1 (Network Function Virtualization: NFV NFV (Virtual Network Function: VNF VNF 1 NFV VNF VNF NFV VNF VNF NFV 1

3 NFV VNF VNF NFV VNF VNF NFV VNF VNF 77% (NFV 2

4 NFV VNF VNF NFV VNF : : VNF : VNF

5

6 1 (NFV [1] c = {f 0.f 1, f 2 } : 400msec : toserve : V NF : toserve : 8 RSRC MEDIAT E c0 MEDIAT E c : toserve : 8 RSRC MEDIAT E c0 MEDIAT E c

7 VNF

8 1 (Internet of Things: IoT [2] 1 (Network Function Virtualization: NFV [3] NFV [4] Deep Packet Inspection (DPI [5] (Network Address Translation: NAT [6] Evolved Packet Core (EPC [7] [8,9] (Virtual Network Function: VNF 1 NFV NFV VNF VNF 1 NFV VNF VNF NFV VNF NFV VNF VNF [10] NFV 7

9 1: (NFV 8

10 [11] [12 14] [1,15] NFV VNF VNF NFV NFV VNF NFV NFV VNF VNF τ-leaping [16] NFV VNF NFV 4 5 VNF 6 9

11 2 [1] [1, 15] [1,15] (1 (2 SERV REQ u SERV SERV toserve(serv, REQ (1 SERV r 0 (2 SERV REQ toserv(serv, REQ 10

12 2: [1] 1: 11

13 (1 2 (2 2.3 (1 SERV REQ CPU (1 [17] (1 SERV REQ CAT AL u MEDIAT E (3 MEDIAT E v SERV i REQ CAT AL (4 MEDIAT E w SERV SERV CAT AL toserve(serv, REQ (5 CAT AL CAT AL MEDIAT E (3 SERV REQ CAT AL 2.4 SERV m SERV (6 12

14 SERV 2.5 SERV CAT AL g SERV CAT AL GRAD (7 GRAD h 0 (8 GRAD k GRAD (GRAD (9 REQ n REQ (GRAD + (10 GRAD (7 GRAD SERV CAT AL (9 GRAD SERV CAT AL (8 GRAD GRAD (9 GRAD GRAD SERV CAT AL GRAD (10 REQ GRAD 3 (7-(

15 3: 14

16 (11-(19 t i I i I SERV i REQ i CAT AL t u MEDIAT Ei,t (11 i I MEDIAT E i,t v SERVi REQ i CAT AL t (12 i I MEDIAT E i,t w SERVi SERV i CAT AL t toserve(serv i, REQ i (13 i I SERV i d 0 (14 i I SERV i m SERV i (15 i I SERV i CAT AL t g SERVi CAT AL t GRAD i (16 i I GRAD i h 0 (17 i I GRAD i k GRAD i (GRAD i (18 i I REQ i n REQ i (GRAD + i (19 (11-(19 15

17 3 NFV NFV VNF VNF VNF 2 VNF 3.1 VNF f 1, f 2, c c = {f 1, f 2, f 3, } c VNF f 1 c c c\{f 1 } = {f 2, f 3,, f end } c VNF f 1 (c f c 3.2 VNF [1] (1 NFV VNF VNF (1 V NF f 1 (c V NF f 1 (c P KT c\{f 1 (c} V NF f 1 (c P KT c r us toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = (20 V NF f 1 (c V NF f 1 (c toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = 16

18 V NF f VNFf VNF P KT c c toserve(v NF f 1 (c, P KT c c VNF VNF VNF c c\{f 1 (c} VNF VNF P KT c 3.3 NFV VNF VNF (3-(5 (20 V NF f 1 (c P KT c RSRC t MEDIAT E c,t r us1 MEDIAT Ec,t (21 r us2 V NFf 1 (c P KT c RSRC t (22 V NF f 1 (c V NF f 1 (c P KT c\{f 1 (c} RSRC t MEDIAT E c,t r us3 toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = (23 V NF f 1 (c V NF f 1 (c RSRC t toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = RSRC MEDIAT E VNF 3.4 VNF NFV 2.4 NFV VNF V NF f r ms V NF f (24 NFV VNF 17

19 3.5 VNF (7-(10 V NF f GRAD f GRAD f P KT c r rg V NF f GRAD f (25 r dg 0 (26 r mg GRAD f (GRAD f (27 r mf P KT c (GRAD + f 1 (c (28 VNF VNF c = {f 0.f 1, f 2 } VNF 2.6 VNF 1 VNF t F NFV VNF C NFV C c C, V NF f 1 (c P KT c RSRC t r us1 MEDIAT Ec,t (29 c C, MEDIAT E c,t r us2 V NFf 1 (c P KT c RSRC t (30 V NF f 1 (c V NF f 1 (c P KT c\{f 1 (c} RSRC t c C, MEDIAT E c,t r us3 toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = (31 V NF f 1 (c V NF f 1 (c RSRC t toserve(v NF f 1 (c, P KT c (c\{f 1 (c} = 18

20 4: c = {f 0.f 1, f 2 } 19

21 f F V NF f f F V NF f f F V NF f RSRC t f F GRAD f f F GRAD f c C P KT c r ds 0 (32 r ms V NF f (33 r rg V NF f RSRC t GRAD f (34 r dg 0 (35 r mg GRAD f (GRAD f (36 r mf P KT c (GRAD + f 1 (c (37 (29-(37 NFV VNF VNF 20

22 4 3 NFV VNF VNF 4.1 [18] τ-leaping τ-leaping τ (1 τ (2 (3 τ (4 (3 (5 τ (6 (2-(5 τ 0.6msec SINET [19] VNF 21

23 5: 22

24 4.3 (29-(37 6 V NF f0 2 V NF f1 2,000 VNF 0 RSRC 1,000 VNF VNF 83 Kpps 1,500 Bytes 1 Gbps 0 (29-(37 r us1 = r us2 = r us3 = 0.05 r ds = 0.01 r ms = r rg = r dg = 0.03 r mg = r mf = : 8 c = {f 0, f 1 } 33 Kpps VNF (33 r ms 0 V NF VNF VNF msec GRAD f0 GRAD f1 V NF f0 GRAD f0 6 V NF f1 GRAD f1 2 7 toserve(v NF f0, P KT c0 toserve(v NF f1, P KT c1 V NF f0 6 V NF f1 2 VNF 23

25 : VNF 8 c = {f 0, f 1 } 33 Kpps 1 r ms VNF VNF VNF 8 V NF f0 V NF f1 V NF f0 6 V NF f1 2 8 VNF VNF VNF 9 toserve(v NF f0, P KT c0 toserve(v NF f1,p KT c1 GRAD f0 6 GRAD f1 2 8 VNF VNF V NF f0 V NF f VNFf 1 VNF 8 6 VNF 10 8 RSRC MEDIAT E c0 MEDIAT E c1 8 VNF : VNF 2 8 c = {f 0, f 1 } 67 Kpps 1 83 Kpps VNF 11 toserve(v NF f0, P KT c0 toserve(v NF f1, P KT c1 2 8 VNF

26 8 RSRC MEDIAT E c0 MEDIAT E c msec VNF VNF VNF 25

27 4000 GRAD f0 GRADf Concentration Node Number 6: 1: 400msec 26

28 50 40 Node1: toserve(vnf f0 Node2: toserve(vnf f0 Node3: toserve(vnf f0 Node4: toserve(vnf f0 Node5: toserve(vnf f0 Node6: toserve(vnf f0 Node7: toserve(vnf f0 Node8: toserve(vnf f0 Concentration Time (msec (a toserve(v NF f0, P KT c Node1: toserve(vnf f1 Node2: toserve(vnf f1 Node3: toserve(vnf f1 Node4: toserve(vnf f1 Node5: toserve(vnf f1 Node6: toserve(vnf f1 Node7: toserve(vnf f1 Node8: toserve(vnf f1 Concentration Time (msec (b toserve(v NF f1, P KT c1 7: 1: toserve 27

29 Node1: VNF f0 Node2: VNFf0 Node3: VNFf0 Node4: VNFf0 Node5: VNFf0 Node6: VNFf0 Node7: VNFf0 Node8: VNFf Concentration Time (msec (a V NF f Node1: VNF f1 Node2: VNFf1 Node3: VNFf1 Node4: VNFf1 Node5: VNFf1 Node6: VNFf1 Node7: VNFf1 Node8: VNFf Concentration Time (msec (b V NF f1 8: 2: V NF 28

30 50 40 Node1: toserve(vnf f0 Node2: toserve(vnf f0 Node3: toserve(vnf f0 Node4: toserve(vnf f0 Node5: toserve(vnf f0 Node6: toserve(vnf f0 Node7: toserve(vnf f0 Node8: toserve(vnf f0 Concentration Time (msec (a toserve(v NF f0, P KT c Node1: toserve(vnf f1 Node2: toserve(vnf f1 Node3: toserve(vnf f1 Node4: toserve(vnf f1 Node5: toserve(vnf f1 Node6: toserve(vnf f1 Node7: toserve(vnf f1 Node8: toserve(vnf f1 Concentration Time (msec (b toserve(v NF f1, P KT c1 9: 2: toserve 29

31 RSRC MEDIATE c0 MEDIATEc1 initial concentration of RSRC Concentration Time (msec 10: 2: 8 RSRC MEDIAT E c0 MEDIAT E c1 30

32 Node1: toserve(vnf f0 Node2: toserve(vnf f0 Node3: toserve(vnf f0 Node4: toserve(vnf f0 Node5: toserve(vnf f0 Node6: toserve(vnf f0 Node7: toserve(vnf f0 Node8: toserve(vnf f0 50 Concentration Time (msec (a toserve(v NF f0, P KT c Node1: toserve(vnf f1 Node2: toserve(vnf f1 Node3: toserve(vnf f1 Node4: toserve(vnf f1 Node5: toserve(vnf f1 Node6: toserve(vnf f1 Node7: toserve(vnf f1 Node8: toserve(vnf f1 50 Concentration Time (msec (b toserve(v NF f1, P KT c1 11: 3: toserve 31

33 RSRC MEDIATE c0 MEDIATEc1 initial concentration of RSRC 800 Concentration Time (msec 12: 3: 8 RSRC MEDIAT E c0 MEDIAT E c1 32

34 5 3 NFV RSRC (29-(37 NFV VNF V NF f0 V NF f1... V NF f7 2,000 V NF 0 VNF 2 VNF 1 VNF 642 Kpps 5 NFV 664 Kpps (= 83Kpps VNF VNF NFV VNF VNF (34 r ms = 0 VNF 1 VNF 33

35 5.4 3 VNF 1 VNF VNF VNF VNF 2 VNF VNF NFV 13 VNF 13.5msec ( 13(a 23.9msec ( 13(b 90.9msec ( 13(c 150.3msec ( 13(a 113.0msec ( 13(b 307.1msec ( 13(c VNF 2 83 Kpps VNF VNF 1 3 VNF 14 VNF VNF 3 ( 14(c GRAD V NF 34

36 CDF Method1-1chain(s Method2-1chain(s Processing Latency (msec (a VNF CDF Method1-2chain(s Method2-2chain(s Processing Latency (msec (b VNF CDF Method1-3chain(s Method2-3chain(s Processing Latency (msec (c VNF 3 13: 35

37 CDF Method1-1chain(s Method2-1chain(s hop count (a VNF CDF Method1-2chain(s Method2-2chain(s hop count (b VNF CDF Method1-3chain(s Method2-3chain(s hop count (c VNF 3 14: 36

38 2: (Kpps c 0 {f 5, f 3 } 5 17 c 1 {f 6 } 2 8 c 2 {f 7 } 5 17 c 3 {f 3 } 6 17 c 4 {f 3, f 6, f 2 } 2 67 c 5 {f 0 } 7 33 c 6 {f 4, f 0 } 8 8 c 7 {f 6, f 0 } 5 17 c 8 {f 1, f 2, f 5 } 2 67 c 9 {f 6 } 7 67 c 10 {f 4, f 1 }

39 3: VNF V NF f0 V NF f1 V NF f2 V NF f3 V NF f4 V NF f5 V NF f6 V NF f7 : : : : : : : : : : : : : : : :

40 6 NFV VNF VNF NFV VNF VNF NFV VNF VNF 77% VNF NFV 39

41 40

42 [1] Shun Sakurai, Construction method of service space in virtualized network system based on chemical-inspired tuple space model, Master s thesis, Osaka University, Feb [2] A. Al-Fuqaha, M. Guizani, M. Mohammadi, M. Aledhari, and M. Ayyash, Internet of things: A survey on enabling technologies, protocols, and applications, Communications Surveys & Tutorials, IEEE, vol. 17, no. 4, pp , [3] ESTI, Network functions virtualisation - white paper 3. org/portals/0/tbpages/nfv/docs/nfv_white_paper3.pdf. [4] K. Ingham and S. Forrest, A history and survey of network firewalls, University of New Mexico, Tech. Rep, [5] M. Finsterbusch, C. Richter, E. Rocha, J.-A. Muller, and K. Hanssgen, A survey of payload-based traffic classification approaches, Communications Surveys & Tutorials, IEEE, vol. 16, no. 2, pp , [6] D. Wing, Network address translation: extending the internet address space, IEEE internet computing, vol. 14, no. 4, pp , [7] M. Olsson, S. Rommer, C. Mulligan, S. Sultana, and L. Frid, SAE and the Evolved Packet Core: Driving the mobile broadband revolution. Academic Press, [8] J. Carapinha and J. Jimenez, Network virtualization - a view from the bottom, in Proceedings of VISA 2009, pp , June [9] D. King and C. Ford, A critical survey of network functions virtualization, in Proceedings of the Accounting and Finance 2013, pp. 1 21, July [10] S. Mehraghdam, M. Keller, and H. Karl, Specifying and placing chains of virtual network functions, Networking and Internet Architecture, vol. 1058, pp. 1 7, June [11] C. Kesselman, C. Lee, and B. Lindell, A distributed resource management architecture that supports advance reservations and co-allocation, in Proceedings of International Workshop on Quality of Service 1999, pp , June

43 [12] Marco Piraccini, Biotucson: biochemical extension of tucson to support selforganising coordination, Master s thesis, University of Bologna, Mar [13] Mirko Viroli, Matteo Casadei, Sara Montagna, Franco Zambonelli, Spatial coordination of pervasive services through chemical-inspired tuple spaces, ACM Transactions on Autonomous and Adaptive Systems, vol. 6, pp. 1 24, June [14] M. Viroli, M. Casadei, and Matteo, Chemical-inspired self-composition of competing services, in Proceedings of the ACM Symposium on Applied Computing 2010, pp , July [15],,,,, vol. 114, pp , Mar [16] D. T. Gillespie, Stochastic simulations for chemical kinetics, Annual Review of Physical Chemistry, vol. 58, pp , Oct [17] W. W. Cleland, The kinetics of enzyme-catalyzed reactions with two or more substrates or products, Science Direct, vol. 67, pp , May [18] H. Li, Y. Cao, and D. T. Gillespie, Algorithms and software for stochastic simulation of biochemical reacting systems, Biotechnology Progress, vol. 24, pp , Feb [19] (sinet

28, (Internet of Things: IoT),,,. 1, (Network Function Virtualization: NFV). NFV,,,. NFV (Virtual Network Function: VNF),, VNF 1, 1 VNF. NFV,, VNF., N

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