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Department f Computer Engineering Malaviya National Institute of Technology, Jaipur India (PROM3D) Parameterized Path-Based, Randomized, Oblivious, Minimal.

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Presentation on theme: "Department f Computer Engineering Malaviya National Institute of Technology, Jaipur India (PROM3D) Parameterized Path-Based, Randomized, Oblivious, Minimal."— Presentation transcript:

1 Department f Computer Engineering Malaviya National Institute of Technology, Jaipur India (PROM3D) Parameterized Path-Based, Randomized, Oblivious, Minimal Routing in 3D Mesh NoC Dr. Mushtaq Ahmed Co-author : Rakesh kumar TENCON2012

2 Presentation layout Network on Chip Adaptive Routing for Multiport 3D Mesh NoC PROM3D Routing for 3D NoC Experimental setup Results Conclusions

3 Why Network on Chip ? Transistor scaling is increased Millions of gates Multicore architecture Conventional bus techniques is not suitable Require better approach i.e. Network on Chip Tilera :TILE-Gx100, 100 tilesMESH, freq 1.5GHz 45x45mm

4 Network on Chip Network-on-a-Chip (NoC) is a new paradigm for System-on-Chip (SoC) design NoC consist of: Processing Elements (PE) An architecture or topology Number of Switches Network Interfaces Routing technique with an addressing system Communication Protocol for message passing

5 NoC Architectures Variants of NoC architecture - Torus, Mesh, Spidergom, honeycomb, diagonalised, Hexagon Usability depend on application and performance requirement Proper configuration is required for simulation. Routing technique and performance capability: -Can vary among topology - Target is optimization of efficiency throughput, latency, area, gitter, power Honeycomb Torus Mesh Spidergon 3D Mesh Hexagonal 2D Mesh

6 Routing algorithms Deterministic vs. Adaptive Simplify/Complicate routing logic Easy/Uneasy deadlock free Prone/Robust to congestion Examples Deterministic routing (XYZ, ZXY) Partial adaptive routing (WSF, NG, NUL, OE)

7 Provide the path from source to destination Two broad categories Deterministic and Adaptive Deterministic routing generated packets P from a source node S always uses uniquely determined path for bound between source and destination pair ( XYZ routing) Partial adaptive routing is flexible and allows to choose multiple nodes for exploring the different route for the packets generated form source destined towards reciver ( West South First, North Up Last, Negative First) Routing in NoC

8 XYZ Routing Route a packet in rows first, then moves along the columns and then move along the slices toward destination

9 Negative First Route a packet first adaptively west, south, and down and then adaptively east, north, and up.

10 West South First Route a packet first adaptively west and south and then adaptively down, east, north, and up.

11 North Up Last Route a packet first adaptively west, south, down, and east and then adaptively north and up.

12 PROM 3D Routing The f parameter is required in parameterized PROM 3D Let x = |D x – C x |, y = |D y – C y | and z = |D z – C z | Minimum rectangle is ( x +1)( y +1) ( z +1) Overall rectangle size will be Num (rows) xNum (cols) xNum (slices).

13 PROM 3D Routing Rules First, boundary regions are defined Parameter f (max) is selected. Packets are pushed toward intermediary nodes using priority functions.

14 Let 4*4*4 Mesh and f max =1 Source S 1(1; 1; 1) and Destination D 1(3; 3; 3) f = 1* (3*3*3)/(4*4*4) = 0.42 Source node Probabilities are P1= (2+0.42)/ ( ) P2= (2+0.42)/ ( ) P3= (2+0.42)/ ( ) P1= 0.33, P2= 0.33 and P3=0.33 Let us assume moves in x- direction at intermediate node (2; 1; 1) where, x=1, y=2 and z=2 PROM 3D Routing: Example

15 At intermediate node (2; 1; 1) P1= (1+0.42)/ ( ) P2= 2/ ( ) P3= 2/ ( ) P1= 0.22, P2= 0.31 and P3=0.31 Here, P2 = P3 and (P2, P3 > P1). any path among P2 or P3 can be chosen. Let it is y-ingress, i.e., y direction for intermediate node (2; 2; 1) where P1=0.19, P2=0.26 and P3=0.38 Path from node (2; 2; 1) to node (2; 2; 2) will be selected PROM 3D Routing: Example

16 At intermediate node (2; 2; 2) P1=0.23, P2=0.23 and P3=0.33. Here, P3 is higher and (P3 > P1,P2). Path from (2; 2; 2) to node (2; 2; 3) is selected. Again probability at node (2; 2; 3) is to be calculated as P1=0.30, P2=0.30 and P3=0.12 where, P1 = P2 and (P1, P2 > P3). At intermediate node (3; 2; 3) P1=0.18, P2=0.44 and P3=0. P2 is highest and path from node (3; 2; 3) to node (3; 3; 3) is selected. PROM 3D Routing: Example

17 Parameters usedValues Mesh Size4 * 4 * 4 Packet size20 Buffer size8 Flit size4 Virtual channels2 Simulation cycles10000 Test gen. number2000 Traffic patternsRandom and Transpose Packet injectionBursty Data with Burst length 4 and interval of 3 Load in %5 to 50 with 5% increasing steps No. of simulations10 times for each routing algo. With different load and traffic pattern

18 Simulation Results Latency under different values of f max for random traffic with Bursty data.

19 Simulation Results Latency under different values of f max for Transpose traffic with Bursty data.

20 Simulation Results Latency of XYZ, NUL, WSF, NF and PROM3D under Random traffic with Bursty data.

21 Simulation Results Latency of XYZ, NUL, WSF, NF and PROM3D under Transpose traffic with Bursty data.

22 Results are reasonable and comparable to existing DOR routing and turn model routing algorithms, as it always tries to explore minimal path. Parameterized PROM3D routing can handle congestion and performs better when f max parameter is chosen wisely. With the higher percentage of offered load, average latency in PROM3D under random and transpose traffic is observed better, i.e., lower than other routing algorithms, as it tries to follow allowable turns within cuboid of region of interest. Conclusions

23 [1] M.O. Agyeman and A. Ahmadinia. An adaptive router architecture for heterogeneous 3d networks-on-chip. In NORCHIP, 2011, pages 1 –4, nov [2] Mushtaq Ahmed, V. Laxmi, and M.S. Gaur. Performance analysis of minimal path fault tolerant routing in noc. Journal of Electronics (China), 28:587–595, [3] S. Akbari, A. Shafiee, M. Fathy, and R. Berangi. Afra: A low cost high performance reliable routing for 3d mesh nocs. In Design, Automation Test in Europe Conference Exhibition (DATE), 2012, pages 332 –337, march [4] F. Dubois, A. Sheibanyrad, F. Petrot, and M. Bahmani. Elevator- first: a deadlock-free distributed routing algorithm for vertically partially connected 3d-nocs. Computers, IEEE Transactions on, PP(99):1, References

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