IPSJ SIG Technical Report NetMAS NetMAS NetMAS One-dimensional Pedestrian Model for Fast Evacuation Simulator Shunsuke Soeda, 1 Tomohisa Yam

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1 1 1 1 1 NetMAS NetMAS NetMAS One-dimensional Model for Fast Evacuation Simulator Shunsuke Soeda, 1 Tomohisa Yamashita, 1 Masaki Onishi, 1 Ikushi Yoda 1 and Itsuki Noda 1 We propose the one-dimentional pedestrian model, which simplifies the representation of space for fast calculation. The model was implemented into NetMAS, an evacuation simulator. The validity of the model was confirmed by comaring simulation results with data observed from an evacuation drill. The effectiveness of the model was confirmed by running many simulations. 1. 1 National Institute of Advanced Industrial Science and Technology (AIST) Strategic level Tactical level Operational level 1),2) Strategic level Tactical level Operational level Operational level NetMAS NetMAS 2. 3) 4) 6) 7) 9) 1 1 c 21 Information Processing Society of Japan

Room1 Room2 Room3 Room1 Room2 Room3 Room1 Room2 Room3 (a) (b) (c) (d) 1 Fig. 1 Space model. 1 (a) 1 (b) 4) Social Force 5).1 1 1 (c) 4 8 7) 9) 5cm 1 (d) 3. 3.1 1 (a) (d) L 1, L 2,, L m,, L M 1) 2 c 21 Information Processing Society of Japan

L 1, l 1 x3 Fig. 2 L 1, l 2 L 3, l1 L 3, l2 L 2, l1 L 2, l2 x x 1 x 1 2 L 4, l1 L 5, l1 L 6, l1 2 One-dimensional pedestrian model. 1 1 (d) 2 1 2 l 1, l 2,, l n,, l N t L m l n i x (Lm,ln) i (t) L m l n x i (t) 3.2 Helbing 5) 1 2 3 4 5 (1) t i fi dr (t) m i vi ẋ i(t) τ i fi dr vi ẋ i (t) (t) = m i (1) τ i 2 i i j f soc i,j (t) d i,j(t) r i,j A, B fi,j soc ri,j di,j(t) (t) = A exp B i f soc i (t) = j f soc i,j (t) (3) 3 4 5 (3) i fi soc (t) = A exp r i,i 1 (x i 1 (t) x i (t)) B m iẍ i(t) = m i v i ẋ i (t) τ i + A exp r i,i 1 (x i 1 (t) x i (t)) B τ i v, r/2, m, τ a 1 = 1/τ, a 2 = A/m, a 3 = B ẍ i (t) = a 1 (v ẋ i (t)) a 2 exp 3.3 (2) (4) (5) r (xi 1(t) xi(t)) a 3 (6) (6) v r a 1, a 2, a 3 D-MACS 11) D-MACS T D-MACS 1 i ẋ i 3 c 21 Information Processing Society of Japan

Emergency staircase RIVERWALK KITAKYUSHU Emergency staircase 8F Theater 2F 7F Theater 1F 6F 5F Stairway 4F 3F 2F 1F Escalator (a) 1 1 (b) (c) 4 Fig. 4 Extraction of trajectory in evacuation drill. : Stereo Camera : UFID Receiver 3 Fig. 3 Evacuation routes from the mid-theater. x i 1 x i.5 v = 1.23, r =.522, a 1 =.962, a 2 =.869, a 3 =.214 4. NetMAS 4.1 29 2 11 7 1 4 2 2 2 2 2 1 7 1 3 57 8 39 RFID 12) 6 13) 4 RFID 44 RFID RFID RFID ID RFID 39 RFID 28 4.2 RFID.5 1 1 [m] 1 5 5 (a) 1 8 9 4 c 21 Information Processing Society of Japan

[num] 1 8 6 4 2 Stereo camera Simulation 2 4 6 8 (a) 1 1 [num] 5 4 3 2 1 RFID Simulation 5 Fig. 5 Comparison of evacuation time. 1 2 3 4 5 6 7 (b) 5 (b) 1 7 (a) (b) RFID 15 % 5 % 5. NetMAS 6 188, 294, 414, 534, 594, 654 2 5 4:1, 2:1, 1:1, 1:2, 1:4 8 1 2 1 2 1 1 2 2 1 2 6 1 2 2 2 2 2 2, 48 = 6 2 5 8 CPU Intel Core i7 86 2.8 [GHz] HT, Memory 4 [GB], OS Ubuntu Linux 1.4 64bit Java J2SE 1.6 48 11 54 4 6 6 (a) 57 723 654 3 6 (b) (c) 6 (d) 1 2 1 2 5 c 21 Information Processing Society of Japan

12 1 8 6 4 2 12 1 8 6 4 2 188 294 414 534 594 654 [num] (a) 4:1 2:1 1:1 1:2 1:4 6. (c) 12 1 8 6 4 2 12 1 8 6 4 2 Staircase (half) (full) Half open (b) Escalator (half) (full) 6 Fig. 6 Change of evacuation time. Both (half) (full) (d) Fully open Operational level Tactical level NetMAS Tactical level Drill Scatter NEDO 21 1) Hoogendoorn, S. P., Bovy, P. H. L. and Daamen, W.: Microscopic Wayfinding and Dynamics Modelling, and Evacuation Dynamics, Springer, Berlin, pp.123 154 (21). 2) Steiner, A., Philipp, M. and Schmid, A.: Parameter Estimation for a Simulation Model, Swiss Transport Research Conference, p.29 (27). 3) Kuligowski, E. D. and Peacock, R. D.: Review of Building Evacuation Models, Technical report, NIST (25). 4) Vol.74, No.636, pp.371 377 (29). 5) Helbing, D. and Molnár, P.: Social force model for pedestrian dynamics, Phys. Rev. E, Vol.51, No.5, pp.4282 4286 (1995). 6) D Vol.64, No.4, pp.513 524 (28). 7) Nishinari, N., Kirchner, Namazi, A., A. and Schadschneider, A.: Simulations of evacuation by an Extended Floor Field CA model, Proceeding of Traffic and Granular Flow 3, pp.45 41 (23). 8) : D & D p.38 (22). 9) Vol.51, pp.94 111 (28). 1) Helbing, D., Molnár, P., Farkas, I, J. and Bolay, K.: Self-organizing pedestrian movement, Environment and Planning B: Planning and Design, Vol.28, No.3, pp. 361 383 (21). 11) D-MACS. http://www.vri.co.jp/solution/floatsys/index. html. 12) Vol.21-ICS-158, No.9, pp.1 8 (21). 13) C Vol.128, No.9, pp.1438 1446 (28). 6 c 21 Information Processing Society of Japan