Journal of Transportation Systems Engineering and Information Technology ›› 2006, Vol. 6 ›› Issue (6): 53-72 .
• Systems Engineering Theory and Methods • Previous Articles Next Articles
H.W.HO,S.C.WONG
Received:
2006-11-20
Revised:
1900-01-01
Online:
2006-12-20
Published:
2006-12-20
何鸿威,黄仕进
H.W.HO,S.C.WONG. A Review of the Two-Dimensional Continuum Modeling Approach to Transportation Problems[J]. Journal of Transportation Systems Engineering and Information Technology, 2006, 6(6): 53-72 .
何鸿威,黄仕进. 运输中的二维连续模拟方法应用综述[J]. 交通运输系统工程与信息, 2006, 6(6): 53-72 .
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[1] Angel A and Hyman G M.Urban velocity fields[J].Environment and P1anning,1970,2:21l-224. [2] Angel A and Hyman G M.Urban spatial interaction[J].Environment and Planning,1972,4:99-l18. [3] Ballou D P and Pipkin J S.A continuous model of traffic flow[J]. Geographical Analysis,1977,9: 346-363. [4] Beckmann M.A continuous model of transportation[J].Econometrlca,1952,20: 643-660. [5] Beckmann M J.On Optimal Tolls for Highways,Tunnels and Bridges[M].In Vehicular Traffic Science,American E1sevier,New York,1952:331-341. [6] Blumenfeld D E.Modeling the joint distribution of home and workplace location in a city[J].Transportation Science,1977,ll(4):307-377. [7] Blumenfeld D E and Beckmann M J.Use of continuous space modeling to estimate freight distribution costs[J].Transportation Research Part A,1985,19(2):173-187. [8] Blumenfeld D E and Weiss G H.Routing in a circular city with two ring roads[J].Transportation Research,1970,4:235-242. [9] Blumenfeld D E and Weiss G H,Some radial and direction-dependent models for densities of homes and workspaces[J],Transportation Research,1974,8: 149-155. [10] Boyce D E.Urban transportation network-equilibrium and design models: Recent achievements and future prospects[J].Environment and Planning A,1984,16(11):1445-1474. [11] Buckley D J.Traffic assignment in a two-dimensional continuous representation of a traffic network with flow-dependent speeds[J].Transportation Research Part B,1979,13:167-179. [12] Cheung C Y and Lam W H K.Pedestrian route choices between escalator and stairway in MTR stations[J].Journal of Transportation Engineering,1998,124(3):277-285. [13] D’Este G.Trip assignment to radial major roads[J].Transportation Research Part B,1987,21:433-442. [14] Defermos S C.Continuum modeling of transportation networks[J]. Transportation Research Part B,1980,14:295-301. [15] Daganzo C F.Network representation,continuum approximations and a solution to the spatial aggregation problem of traffic assignment[J]. Transportation Research Part B,1980,14:229-239. [16] Daganzo C F.The length of tours in zones of different shapes[J]. Transportation Research Part B,1984a,18:135-145. [17] Daganzo C F.The distance traveled to visit N points with a maximum of C stops per vehicle:An analytical model and an application[J].Transportation Science, 1984b,18(4):331-350. [18] Daniele P,Idone G and Maugeri A.Variational inequalities and the continuum model of transportation problem[J].International Journal of Nonlinear Science and Numerieal Simulation,2003,(4):11-16. [19] Daniele P and Maugeri A.Vector Variational Inequalities and Modelling of a Continuum Traffic Equilibrium Problem[M].In F.Giannessi(ed.) Vector Variational Inequalities and Vector Equ ilibria,Kluwer Academic Publishers,Netherlands,2000:97-111. [20] Del Castillo J M.A heuristics for the traveling salesman problem based on a continuous approximation[J].Transportation Research Part B,1999,33: 123-152. [21] Doyle E and Vanghan R J.Further aspect of rectangular routing in Smeed’s city[J].Transportation Research Part B,1981,15: 149-157. [22] Fernandez L J E and Freisz T L.Equilibrium predictions in transportation markets:the state of the art[J].Transportation Research Part B,1983,17:155-172. [23] Gendreau M and Marcotte P.Transportation and Network Analysis-Current Trends: Miscellanea in Honor of Michael Florian[M].Dordrecht,the Netherlands:Kluwer Academic.2002. [24] Gwinner J.On continuum modeling of large dense networks in urban roadtraffic.In J.D.Griffiths(ed.)Mathematics in Transport Planning and Control: Proceedings of the Third IMA International Conference on Mathematics in Transport Planning and Control[M].Amsterdam,and New York:Pergamon Publishing Company,1998:321-330. [25] Hall R W .Travel distance through transportation terminals on a rectangular grid[J].Journal of the Operational Research Society, 1984, 35(12): 1067-1078. [26] Helbing D,Farkas I and Vicsek T.Simulating dynamic features of escape panic[J].Nature,2000,407:487-490. [27] Hau T D.Economic fundamentals of read pricing:a diagrammatic analysis,Part I-Fundamentals[J].Transport-metrica.2005a.1:81-117. [28] Hau T D.Economic fundamentals of road pricing:a diagrammatic analysis,Part II-Relaxation of assumptions[J].Transportmetrica,2005b. 1: ll9-149. [29] Ho H W and Wong S C.A combined model of housing location and traffic equilibrium problems in a continuous transportation system[C].Proceedings of the 16th International Symposium on Transportation and Traffic Theory, Elsevier Science,2005: 761-780. [30] Ho H W and Wong S C.Theoretical bounds of congestion-pricing efficiency for a continuum transportation system[C]. Proceedings of the 17th International Symposium on Transportation and Traffic Theory,Elsevier Science, accepted for publication.2007a. [31] Ho H W and Wong S C.Housing allocation problem in a continuum transportation system [J].Transportmetrica,2007b,3(1):21-29. [32] Ho H W and Wong S C.Existence and uniqueness of a solufion for the multi-class user equilibrium problem in a continuum transportation system[C].Transportmetrica,accepted for publication,2007c. [33] Ho H W, Wong S C and Loo B P Y.Combined distribution and assigmnent model for a continuum traffic equilibrium problem with multiple user classes[J].Transportation Research Part B,2005a,40:633-650. [34] Ho H W.Wong S C and Loo B P Y.Sequential optimization approach for the multi-class user equilibrium problem[J]. Journal of Advanced Transportation,2004,38(3):323-345. [35] Ho H W ,Wong S C,Yan g H and Loo B P Y.Cordonbased congestion pricing in a continuum traffic equilibrium system[J].Transportation Research Part A,2005,39:813-834. [36] Hoogendoorn S P and Bovy P H L.Nonlocal continuousspace microscopic simulation of pedestrian flows with local choice behavior[J].Transportation Research Record,2001,1776:201-210. [37] Hoogendoom S P and Bovy P H L.Pedestrian route-choice and activity scheduling theory and models[J].Transportation Research Part B,2004 a,38:169-190. [38] Hoogendoorn S P and Bow P H L.Dynamic user-optimal assignment in continuous time and space[J].Transportation Research Part B,2004 b,38:571-592. [39] Hoogendoom S P,Bovy P H L and Daamen W.Walking infrastructure design assignment by continuous space dynamic assignment modeling[J].Journal of Advanced Transportation,2004,38(1):69-92. [40] Hsu C I and Guo S P.Household—mode choice and residential-rent distribution in a metropolitan area with surface road and rail transit networks[J].Environment and Planning A,2001,33:1547-1575. [41] Hughes R L.A continuum theory for the flow of pedestrians[J]. Transportation Research Part B,2002,36:507-535. [42] Kitabatake Y and Miyazaki T. The location of sewage treatment plants on a continuous space: Theoretical and empirical analyses[J].Environment and Planning A,1983,15:1205-1217. [43] Lam T N and Newell G F.Flow dependent traffic assignment on a circular city[J].Transportation Science,1967,l:318-361. [44] Langevin A,Mbaraga P and Campbell J F.Continuous approximation models in freight distribution: An overview[J].Transportation Research Part B,1996,30(3):163-188. [45] Langevin A, and Soumis F.Design of multiple-vehicle delivery tours satisfying time constraints[J].Transportation Research Part B. 1989,23(2):123-138. [46] Lee D H.Urban and Regional Transportation Modeling:Essays in Honor of David Boycc[M].Northampton,U.S.A:Edward Elgar Publishing Inc,2003. [47] Litinas N and Ben-Akiva M.Simplified transportation policy analysis using continuous distributions[J].Transportstion Research Part A,1982,16(5-6):431-445. [48] Loo B P Y,Ho H W and Wong S C.Airport competition in the pearl river delta[R].In G.Chen et a1.(ed.) Ti Sheng Da Zhujiang Sanjiaozhou Guo Ji Jing Zheng Li Yan Jiu,Zhongshan Da Xue Chu Ban She,Guangzhou(in Chinese),2003:293-323. [49] Loo B P Y,Ho H W and Wong S C.An application of the continuous equilibrium modelling approach in understanding the geography of air passenger flows in a multi-airport region[J].Applied Geography,2005,25(2):169-199. [50] Love R F.A computational procedure for optimally locating a facility with respect to several rectangular regions[J].Journal of Regional Science,1972,12(2):233-241. [51] Miller A J.On spiral road networks[J].Transportation Science.1967,1: 109-125. [52] Morrall J F,Rmnayake L L and Seneviratne P N.Comparison of central business district pedestrian characteristics in canada and sri lanka[J].Transportation Research Record,1991.1294:57-61. [53] Ncwell G F and Daganzo C F.Design of multiple-vehicle delivery tours-I A ring radial network[J].Transportation Research Part B,1986a,20:345-363. [54] Newell G F and Daganzo C F.Design of multiple-vehicle delivery tours-II Other metrics[J].Transportation Research Part B,1986b,20:365-376. [55] Newell G F.Design of multiple-vehicle delivery tours-III Valuable goods[J].Transportation Research Part B,1986,2O:377-390. [56] Papadimitriou C H.Algorithms,games,and the internet [C].Proceedings of the 33rd Annual ACM Symposium on the Theory of Computing,2001:749-753. [57] Patriksson M.The Traffic Assignment Problem:Models and Methods[M].Utrecht,the Netherlands:VSP,1994. [58] Puu T.A proposed definition of trafic flow in continuous transportation models[J].Environment and Planning A,1977.9:559-567. [59] Pun T.On traffic equilibrium,congestion tolls,and the allocation of tran sportation capacity in a congested urban area[J].Environment and Planning A,1978a,10:29-36. [60] Puu T.On the existence of optimal paths and cost surfaces on isotropic continuous transportation models[J].Environment and Planning A,1978b,10:1121-1130. [61] Puu T.Catastrophic structure change in a continuous regional model[J].Regional Science and Urban Economics,1981,11:317-333. [62] Puu T.Continuous spatial modelling in economics[R].Papers of the Regional Science Association,1985,56:21-36. [63] Puu T and Beckmann M.Continuous space modeling[K].in R.W.Hall(ed.) Handbook of Transportation Science,269-310,Kluwer Academic,Boston,U.S.A.,1999. [64] Robuste F,Daganzo C F and Souleyrette II R R.Implementing vehicle routing models[J].Transportation Research Part B,1990,24:263-286. [65] Sasaki T.Iida Y and Yang H.User-equilibrium traffic assignment by continuum approximation of network flow[C].Proceedings of 11th International Symposium on Transportmion and Traffic Theory. Elsevier Science,1990:233-252. [66] Sun S H. Wong S C,Ice C K and Tong C O. The optimal location of a facility in a continuum transportation network[C]. Proceedings of the Second Conference of Hong Kong Society for Transportation Studies,HKSTS,Hong Kong, 1997.193-200. [67] Szeto W Y and Lo H K.Strategies for road network design over time:robustness under uncertainty[J].Transportmetrica. 2005,1:47-63. [68] Tabuchi T.Urban agglomeration economies in a linear city[J].Regional Science and Urban Economics,1986,16:421-436. [69] Taguchi A and Iri M.Continuum approximation to dense networks and its application to the analysis of urban road networks[J].Mathematical Programming Study,1982,20:178-217. [70] Tanaboriboon Y and Guyano J A. Analysis of pedestrian movements in Bangkok[J].Transportation Research Record,1991. 1294:52-56. [71] Tauchen H and Witte A D.An equilibrium model of Office location and contract patterns[J].Environment and Planning A,1983,15:1311-1326. [72] Tobler W.Derivation of a spatially continuous transportation model[J]. Transportation Research Part A,1985,19(2):169-172. [73] Tong C O and Wong S C.The advantages of a high density,mixed land use,linear urban development[J].Transportation,1997,24:295-307. [74] Vaughan R J.Optimum distribution of population within a linear city[J].Transportation Research,1975,9:25-29. [75] Vaughan R J.A continuous analysis of the role of transportation and crowding costs in determining trip distribution and location in a linear city[J].Transportation Research PartA,1985,19(2):89-107. [76] Vaughan R J.Urban Spatial Traffic Patterns[M].London:Pion,1987. [77] Vaughan R J and Doyle E. Rectangular routing in Smeed’s city[J]. Transportation Research Part B,1979,13:181-182. [78] Virkler M R.Prediction and measurement of travel time along pedestrian routes[J]. Transportation Research Record,1998,1636:37-42. [79] Virkler M R. and Elayadath S.Pedestrian speed-flow-density relationships[J]. Transportation Research Record,1994,1438:51-58. [80] Wang J Y T,Yang H and Lindsey R.Locating and pricing park-and-ride facility in a linear monocentric city with deterministic model choice[J].Transportation Research,Part B,2004,38:709-731. [81] Wardrop J G.Some theoretical aspects of road traffic research[C].Proceedings of the Institute of Civil Engineers Part II,1952,1: 325-378. [82] Wesofowsky G O.Location in continuous space[J].Geographical Analysis,1973,5(2):92-l12. [83] Wesolowsky G O and Love R F.The optimal location of new facility using rectangular distance[J].Operations Research,1969,19(1):124-130. [84] Wiles P G and Brunt B V. Optimal location of transshipment depots[J].Transportation Research Part A,20O1,35:745-771. [85] Williams H C W L and Ortuzar J D.Some generalizations and applications of the velocity field concept:Trip patterns in idealized cities[J]. Transportation Research,1976,10:65-73. [86] Wilson A G.A statistical theory of spatial distribution models[J].Transportation Research. 1967,1:253-269. [87] Wong S C.An alternative formulation of D’Este’s trip assignment model[J]. Transportation Research Part B,1994,28(3):187-196. [88] Wong S C.Multi-commodity traffic assignment by continuum approximation of network flow with variable demand[J].Transportation Research Part B,1998,32(8):567-581. [89] Wong S C and Sun S H.A combined distribution and assignment model for facility location problem[J].Annals of Regional Science,2001,35: 267-281. [90] Wong S C and Yang H.Determining market areas captured by competitive facilities:A continuous equilibrium modeling approach[J],Journal of Regional Science,1999,39(1):51-72. [91] Wong S C,Du Y C,Ho H W and Sun L J.Simultaneous optimization formulation of a discrete—continuous transportation system[J].Transportation Research Record,2003,1857:11-2O. [92] Wong S C,Lee C K and Tong C O.Finite element solution for the continuum traffic equilibrium problems[J].International Journal for Numerical Methods in Engineering,1998,43:1253-1273. [93] Wong S C,Zhou C W ,Lo H K and Yang H.An improved solution algorithm for the multi-commodity continuous distribution and assignment model[J]. Journal of Urban Planning and Development,ASCE,2004,130:14-23. [94] Yang H.A spatial price equilibrium model with congestion effects[J]. Annals of Regional Science,1996,30:359-371. [95] Yang H and Wong S C.A continuous equilibrium model for estimating market areas of competitive facility with elastic demand and market externality[J].Transportation Science,2000,34(2):216-227. [96] Yang H, Yagar S and Iida Y.Traffic assignment in a congested discrete/continuous transportation system [J]. Transportation Research Part B,1994,28(2):167-174. [97] Zitron N R.A continuous model of optimal-cost route in a circular city[J].Journal of Optimization Theory and Application,1974,14:291-303. [98] Zitron N R.A critical condition for the cost density in the circular city model[J].Journal of Optimization Theory and Application,1978,24:507-512. [99] Zienkiewicz O C and Taylor R L.The Finite Element Method[M].McGraw-Hill International Editions,1989. |
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