Joural of Itelliget Learig Systems ad Applicatios, 201, 5, 22-26 Published Olie November 201 (http://www.scirp.org/joural/jilsa) http://dx.doi.org/10.426/jilsa.201.54027 Importace Aalysis of Urba Rail Trasit Networ Statio Based o Passeger Ju Ji 1, Ma Li 1, Yahui Wag 1,2, Ligxi Zhu 1,2, Liag Pig, Bo Wag, Pig Li 1 hia School of Traffic & Trasportatio, Beijig Jiaotog Uiversity, Beijig, hia; 2 State Key Laboratory of Rail Traffic otrol & Safety, Beijig Jiaotog Uiversity, Beijig, hia; Rail Traffic otrol eter, Beijig, hia. Email: jiju12121012@16.com Received May 14 th, 201; revised September 26 th, 201; accepted October 14 th, 201 opyright 201 Ju Ji et al. This is a ope access article distributed uder the reative ommos Attributio Licese, which permits urestricted use, distributio, ad reproductio i ay medium, provided the origial wor is properly cited. ABSTRAT urret urba rail trasit has become a major mode of trasportatio, ad passeger is a importat factor of urba rail trasport, so this article is based o passeger ad the degree of the road etwor structure, calculatig the poit itesity of statios of urba rail trasit, ad the reachig a statio importace by itegratig may poit itesities i a survey cycle time, ad gettig the statio importace of urba rail trasit etwor through cocrete examples. Keywords: Statio Importace; Poit Itesity; Passeger Urba Rail Trasit Networ 1. Itroductio Urba rail trasit has bee a rapid developmet i hiese major cities, which is as the primary solutio to solve urba cogestio ills. After years of the developmet, it has gradually formed a etwor of urba rail trasit operators i large cities such as Beijig, Shaghai, Guagzhou ad others. Uder the etwor operatig, the statio traffic, sectio traffic ad so o, importat operatioal idicators are used to reflect the operatioal status of rail, ad provide a importat basis for the orgaizatio ad maagemet. The statio is the ey of rail trasit operatios maagemet, which is a ey li i the process operators, ad it protects the city rail premise security ad stability operatios, ad how to efficietly ru the statio hierarchical maagemet is the premise to guaratee urba rail security ad stability operatio. However, there is oly a qualitative aalysis i traditioal hierarchical maagemet approach of the statio ad o dyamic variatio is from the statio s passeger quatitative gradig. Therefore, this paper proposes a dyamic quatitative classificatio method based o the statio passeger, providig the basis for the statio operators uder the coditios of the road etwor maagemet ad operatio orgaizatios. 2. Basic ocepts 2.1. Road Networ Model Drawig o the idea of the graph theory [1,2], the road etwor model is defied by cosistig of several odes, the directed edge ad the right, which is abstracted the physical etwor of the actual operatio i urba rail trasit. As is show i Figure 1, ad Figure 2 shows the actual operatio road etwor of Beijig urba rail trasit. I Figure 1, L 1, L 2, Li,, L mea the lie represetig the spatial relatioship of the sectio i the road etwor; the ode Sij meas the statio j i the correspodig i lie i the road etwor. 2.2. Basic ocepts Itroduced cocept of the degree o the basis of the above model, the degree of the ode Sij is the umber of the edges associated with S ij, deoted as ds ij. The followig is give based o the cocept of the degree of a ode defiitio []: Node: a poit Sij, if dsij 1, the the poit S ij is the ode. Key odes: a poit S, if, the poit is ij dsij Sij the trasfer ode. Here, it refers to the trasfer statio ad the greater impact o the ode Passeger Route hoice. Poit of stregth: the statio operatioal process safety importat degree, which is ot oly related with the statio ode (statio coectig edges), but the amout of iboud ad outboud uder the urba rail trasit etwor diagram. Ope Access
Importace Aalysis of Urba Rail Trasit Networ Statio Based o Passeger 2 Figure 1. The urba rail trasit etwor model.. Statio Importat Degree Research The statio importace refers to the ifluece extet of a statio for the road etwor operatioal safety. The greater statio importace idicates that the more importat i the road etwor..1. The Poits Stregth alculatio Accordig to the spatial ad temporal characteristics of urba rail trasit [4], the poit stregth of each statio is differet with the chage of time ad space [5], ad reflects the dyamic chages i the statio weight. Whe a security elemets affectig the statio security operatios, the greater poit itesity, the greater the impact o the whole lie ad road etwor [6]. The statio j poit stregth i the time period t ca be expressed as follows i the urba rail trasit etwor model: s d s t ij ij m j1 i out tc ct sijct sijct sij i out tc ct sijct sijct sij i where: ij is the degree of the statio ; ct sij out is the iput volume of the statio j ; ct sij is the tc output volume of the statio j ; ct s ij is the trasfer volume of the statio j. (1) ds j.2. The Statio Importace alculatio Due to the poit itesity chages with time ad space, the statio poit stregth research i a statistical cycle of the road etwor. The statio importace is based o the statio poit stregth with time ad space, which specific is as follows: Assumig that there are m statios i the road etwor, ad the statistical period T is divided ito time periods for the statio j respectively t t, 1, t2,, t, correspodig to the poit of stregth are,,,,, jt1 jt2 jt jt the, the m poit itesity matrix i a statistical cycle is show: 1 t 1 1t 2 1t 1t 2t 1 2t 2 2t 2t (2) mt 1 mt 2 mt mt If the statio i ad out passeger are c, c, c,, c durig the statistical cycle of t1 t2 t t c, x1 periods, the total traffic is ad the weight coefficiet matrix of the statio i ad out traffic is ct c 1 t c 2 t c t. the If the m tx statios importace degree Z1, Z2, Z, Z4,, Zm, Ope Access
24 Importace Aalysis of Urba Rail Trasit Networ Statio Based o Passeger ct 1 Z1 1 t 1 1t 2 1t 1t Z2 ct 2 2t 1 2t 2 2t 2t Z () mt 1 mt 2 mt mt Z m ct So the importat degree of the statio j o the spatial ad temporal distributio ct x Zi jt 1 j m j x1 4. Statio Importat alculatio Example Applicatio 4.1. Road Networ Model 9 1 2 4 5 18 s ab 10 15 16 11 12 1 7 14 17 8 Figure 2. The road etwor model. 6 4.2. The alculatio of the Poits Stregth ad the Importace Degree Assumed that the subway operators time from 6:00 am to 10:00 pm i urba rail etwor, ad the statistical cycle is 16 hours, which is divided ito 6:00-8:00, 8:00-10:00, 10:00-12:00, 12:00-14:00, 14:00-16:00, 16:00-18:00, 18:00-20:00, 20:00-22:00 t1, t2, t, t4, t5, t6, t7, t 8. The followig is Tables 1- show the 18 statio traffic of the road etwor i the statistical cycle. The importace degree of the statio ca be calculated through the above data ito the formula (1), (2) ad () (see the formula o the bottom of the page). From Figure, the degree of importace of the statio 2, statio, statio 5, statio 7 ad statio 11, statio 1 ad statio 16 is sigificatly larger tha the other statios, ad these statios is the bigger traffic, the larger ode degree ad the trasfer statio, which fits the importat degree of formula ad method of the above calculatio statio. 5. oclusio This paper provided the poit defiitio ad calculatio of the itesity of the urba rail trasit statio based o the ode degree i passeger traffic ad road etwor model, ad gave the cocept ad the specific calculatio method of the statio importace degree accordig to Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z 1 2 4 5 6 7 8 9 10 11 12 1 14 15 16 17 18 0.02 0.02 0.01 0.01 0.02 0.02 0.02 0.01 0.02 0.49 0.42 0.28 0.5 0.7 0.46 0.49 0.9 0.42 0. 0.8 0.47 0.27 0.29 0. 0.5 0.2 0.4 0.06 0.07 0.05 0.05 0.08 0.07 0.09 0.05 0.07 0.19 0.18 0.17 0.18 0.19 0.21 0.2 0.1 0.19 0.07 0.08 0.10 0.1 0.09 0.07 0.08 0.10 0.17 0.59 0.4 0.9 0.48 0.8 0.62 0.6 0.40 0.08 0.15 0.46 0.02 0.0 0.02 0.02 0.0 0.02 0.0 0.02 0.09 0.02 0.0 0.02 0.02 0.0 0.0 0.0 0.0 0.04 0.07 0.0 0.07 0.07 0.05 0.09 0.08 0.07 0.09 0.100.15 0.08 0.46 0.45 0.46 0.8 0.4 0.41 0.4 0.24 0.18 0.04 0.02 0.0 0.0 0.0 0.04 0.0 0.05 0.12 0.42 0.0 0.28 0.9 0.50 0.7 0.9 0.1 0.2 0.7 0.07 0.4 0.02 0.02 0.02 0.02 0.02 0.02 0.0 0.0 0.02 0.0 0.02 0.02 0.02 0.02 0.0 0.0 0.02 0.02 0.5 0.70 0.64 0.66 0.61 0.44 0.47 0.68 0.57 0.02 0.0 0.0 0.0 0.04 0.0 0.05 0.04 0.0 0.02 0.02 0.02 0.0 0.01 0.0 0.02 0.04 0.02 Ope Access
Importace Aalysis of Urba Rail Trasit Networ Statio Based o Passeger 25 Table 1. The i ad out of the statio traffic. Statio 6:00-8:00 8:00-10:00 10:00-12:00 12:00-14:00 14:00-16:00 16:00-18:00 18:00-20:00 20:00-22:00 1 206 146 56 4 14 226 114 4 2 65 489 24 224 421 62 456 214 450 447 57 168 45 45 174 4 12 297 18 97 1 42 298 89 5 56 02 198 112 298 96 02 95 6 21 8 256 254 45 4 278 178 7 77 40 02 257 46 87 9 21 8 154 214 104 78 225 164 198 66 9 246 202 89 11 245 266 224 12 10 67 298 15 164 4 61 287 177 11 608 517 47 226 487 588 98 118 12 196 78 67 59 15 21 99 77 1 94 462 25 224 441 402 227 195 14 148 14 12 89 188 168 168 115 15 252 189 97 74 176 257 176 6 16 704 786 467 71 665 604 442 7 17 212 228 175 115 1 262 298 147 18 20 15 88 126 114 25 12 121 Total 6555 5665 558 2785 56 6785 4769 2572 Table 2. The trasfer traffic. Statio 6:00-8:00 8:00-10:00 10:00-12:00 12:00-14:00 14:00-16:00 16:00-18:00 18:00-20:00 20:00-22:00 2 55 89 14 114 21 52 56 12 50 47 257 89 245 54 24 98 5 256 202 102 11 211 296 200 56 7 67 05 204 208 4 665 256 114 11 508 417 246 145 76 442 04 89 1 294 62 26 14 46 65 145 118 16 604 667 67 268 557 498 4 247 Total 28 2689 166 1071 290 14 188 845 Table. The degree of the statio. Statio 1 2 4 5 6 7 8 9 10 11 12 1 14 15 16 17 18 The Degree 1 4 4 2 2 4 1 1 2 4 2 4 1 1 4 1 1 Figure. The distributio of the statio importace. Ope Access
26 Importace Aalysis of Urba Rail Trasit Networ Statio Based o Passeger the characteristics of the spatial ad temporal distributio. It embodied the abstract importat degree ad specific validatio to support the maagemet of the statio. 6. Acowledgemets This ivestigatio is supported by Natioal Twelfth Five- Year Pla for Sciece & Techology Support Urba Rail Trasit Networ Operatios Security Key Techologies ad System Developmet (2011BAG01B02). REFERENES [1] J. N. Li ad Q. L. Zhag, Graphic Theory o Iterval Stability of Networed otrol System, Joural of Systems Egieerig ad Electroics, Vol. 19, No. 6, 2008, pp. 1185-1190. http://dx.doi.org/10.1016/s1004-412(08)60217-0 [2] X. N. Huag ad Y. B. Zhu, Nodal Aalysis Based o Graph Theory, Qighai Normal Uiversity, No. 2, 2011, pp. 17-20. [] J. Xu ad Z. Bao, Neural Networs ad Graph Theory, Sciece i hia, Vol. 45, No. 1, 2002, pp. 1-2. http://dx.doi.org/10.160/02ye9001 [4] M. Yua, L. Deg ad Y. Huag, A Selectio Study for Railway Trasport ad Trasfer Node, Moder Busiess Trade Idustry, No. 1, 2010, pp. 2-24. [5]. he, H. X. Xue ad Q. M. Zhag, Importace Aalysis Based o the Reliability Redudat Desig ad Supply hai Members, Techical Ecoomics, Vol. 28, No., 2009, pp. 11-118. [6] J. H. Jia, L. H. Bao, J. X. Zhu, et al., Importat Degree Aalysis of Regioal Highway Networ Layout Optimizatio, Northeast Highway, Vol. 24, No. 2, 2001, pp. 46-48. Ope Access