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Handling congestion in crowd motion modeling
Towards a mathematical model for stability in pedestrian flows
1.  Department of Infrastructure Engineering, University of Melbourne, Parkville, Victoria 3010, Australia, Australia 
References:
[1] 
A. T. Chahly, "Descriptive Geometry,", The Higher School Pub, (). 
[2] 
J. W. Daily and D. R. F. Harleman, "Fluid Dynamics,", AddisonWesley, (1966). 
[3] 
B. D. Hankin and R. A. Wright, Passenger flow in subways,, Journal of the Operational Research Society, 9 (1958), 81. doi: 10.1057/jors.1958.9. 
[4] 
B. HofmannWellenhof, H. Lichtenegger and J. Collins, "GPS: Theory and Practice,", SpringerVerlag, (1992). 
[5] 
R. L. Hughes, A continuum theory for the flow of pedestrians,, Trans. Res. Part B, 36 (2002), 507. doi: 10.1016/S01912615(01)000157. 
[6] 
N. A. Koshak and A. Fouda, "Analyzing Pedestrian Movement in Mataf Using GPS and GIS to Support Space Redesign,", Proceedings of the Ninth International Conference on Design and Decision Support Systems (DDSS) in Architecture and Urban Planning, (2008). 
[7] 
R. S. C. Lee and R. L. Hughes, Exploring trampling and crushing in a crowd,, Journal of Transportation Engineering, 131 (2005), 575. doi: 10.1061/(ASCE)0733947X(2005)131:8(575). 
[8] 
R. S. C. Lee, "The Danger in a Crowd,", Ph.D thesis, (2005). 
[9] 
A. Leick, "GPS Satellite Surveying," 2^{nd} edition,, John Wiley & Sons, (1995). 
[10] 
B. W. Parkinson, Introduction and heritage of NAVSTAR,, Global Positioning System: Theory and Applications, 1 (1996), 3. 
[11] 
B. W. Parkinson and J. J. Spilker, Global Positioning System: Theory and applications,, American Institute of Aeronautics and Astronautics, 2 (1996), 3. 
[12] 
S. Sarmady, F. Haron, M. M. Mohd Salahudin and A. Z. H. Talib, Evaluation of existing software for simulating of crowd at masjid AlHaram,, Jurnal Pengurusan JWZH, 1 (2007), 83. 
[13] 
B. W. Parkinson and J. J. Spilker, Overview of GPS operation and design,, Global Positioning System: Theory and applications, (1996), 29. 
[14] 
D. Stewart, "Mecca,", Newsweek, (1980). 
[15] 
D. E. Wells, N. Beck, D. Delikaraoglou, A. Kleusberg, E. J. Krakiwsky, G. Lachapelle, R. B. Langley, M. Nakiboglu, K. P. Schwarz, J. M. Tranquilla and P. Vanícek, "Guide to GPS Positioning,", University of New Brunswick, (1987). 
[16] 
, http://www.fathersez.com/wpcontent/uploads/2008/09/kaabahtawafpreview.jpg,, Accessed on April 2010., (2010). 
[17] 
, http://image62.webshots.com/662/4/10/80/2938410800103225830Msadrn_ph.jpg,, Accessed on April 2010., (2010). 
[18] 
, http://www.watchingamerica.com/images/kaaba_pic.jpeg,, Accessed on May 2010., (2010). 
[19] 
, http://farm3.static.flickr.com/2097/2119107921_a2739375f9_b.jpg,, Accessed on May 2010., (2010). 
[20] 
, http://navedz.files.wordpress.com/2009/03/kaaba1429hijri.jpg,, Accessed on May 2010., (2010). 
[21] 
, http://islamfrance.free.fr/photo/mosquee/normale/kaaba03.jpg,, Accessed on May 2010., (2010). 
[22] 
, http://www.princeton.edu/~humcomp/tawaf.jpg,, Accessed on May 2010., (2010). 
[23] 
, http://www.muslimherald.com/Files/k/MasjedAlharam_Tawaf1a.jpg,, Accessed on May 2010., (2010). 
[24] 
Z. Zainuddin, K. Thinakaran and I. M. AbuSulyman, Simulating the circumambulation of the Ka'aba using Sim Walk,, European Journal of Scientific Research, 38 (2009), 454. 
show all references
References:
[1] 
A. T. Chahly, "Descriptive Geometry,", The Higher School Pub, (). 
[2] 
J. W. Daily and D. R. F. Harleman, "Fluid Dynamics,", AddisonWesley, (1966). 
[3] 
B. D. Hankin and R. A. Wright, Passenger flow in subways,, Journal of the Operational Research Society, 9 (1958), 81. doi: 10.1057/jors.1958.9. 
[4] 
B. HofmannWellenhof, H. Lichtenegger and J. Collins, "GPS: Theory and Practice,", SpringerVerlag, (1992). 
[5] 
R. L. Hughes, A continuum theory for the flow of pedestrians,, Trans. Res. Part B, 36 (2002), 507. doi: 10.1016/S01912615(01)000157. 
[6] 
N. A. Koshak and A. Fouda, "Analyzing Pedestrian Movement in Mataf Using GPS and GIS to Support Space Redesign,", Proceedings of the Ninth International Conference on Design and Decision Support Systems (DDSS) in Architecture and Urban Planning, (2008). 
[7] 
R. S. C. Lee and R. L. Hughes, Exploring trampling and crushing in a crowd,, Journal of Transportation Engineering, 131 (2005), 575. doi: 10.1061/(ASCE)0733947X(2005)131:8(575). 
[8] 
R. S. C. Lee, "The Danger in a Crowd,", Ph.D thesis, (2005). 
[9] 
A. Leick, "GPS Satellite Surveying," 2^{nd} edition,, John Wiley & Sons, (1995). 
[10] 
B. W. Parkinson, Introduction and heritage of NAVSTAR,, Global Positioning System: Theory and Applications, 1 (1996), 3. 
[11] 
B. W. Parkinson and J. J. Spilker, Global Positioning System: Theory and applications,, American Institute of Aeronautics and Astronautics, 2 (1996), 3. 
[12] 
S. Sarmady, F. Haron, M. M. Mohd Salahudin and A. Z. H. Talib, Evaluation of existing software for simulating of crowd at masjid AlHaram,, Jurnal Pengurusan JWZH, 1 (2007), 83. 
[13] 
B. W. Parkinson and J. J. Spilker, Overview of GPS operation and design,, Global Positioning System: Theory and applications, (1996), 29. 
[14] 
D. Stewart, "Mecca,", Newsweek, (1980). 
[15] 
D. E. Wells, N. Beck, D. Delikaraoglou, A. Kleusberg, E. J. Krakiwsky, G. Lachapelle, R. B. Langley, M. Nakiboglu, K. P. Schwarz, J. M. Tranquilla and P. Vanícek, "Guide to GPS Positioning,", University of New Brunswick, (1987). 
[16] 
, http://www.fathersez.com/wpcontent/uploads/2008/09/kaabahtawafpreview.jpg,, Accessed on April 2010., (2010). 
[17] 
, http://image62.webshots.com/662/4/10/80/2938410800103225830Msadrn_ph.jpg,, Accessed on April 2010., (2010). 
[18] 
, http://www.watchingamerica.com/images/kaaba_pic.jpeg,, Accessed on May 2010., (2010). 
[19] 
, http://farm3.static.flickr.com/2097/2119107921_a2739375f9_b.jpg,, Accessed on May 2010., (2010). 
[20] 
, http://navedz.files.wordpress.com/2009/03/kaaba1429hijri.jpg,, Accessed on May 2010., (2010). 
[21] 
, http://islamfrance.free.fr/photo/mosquee/normale/kaaba03.jpg,, Accessed on May 2010., (2010). 
[22] 
, http://www.princeton.edu/~humcomp/tawaf.jpg,, Accessed on May 2010., (2010). 
[23] 
, http://www.muslimherald.com/Files/k/MasjedAlharam_Tawaf1a.jpg,, Accessed on May 2010., (2010). 
[24] 
Z. Zainuddin, K. Thinakaran and I. M. AbuSulyman, Simulating the circumambulation of the Ka'aba using Sim Walk,, European Journal of Scientific Research, 38 (2009), 454. 
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