运输中的二维连续模拟方法应用综述

摘要/Abstract

摘要： 由于在模拟密集网络、宏观问题和方案阶段中的优势，连续性模拟方法应用到交通模型的模拟中，正在得到越来越多的关注。此论文意在为二维连续模拟方法的发展和应用提供综合的概括。首先讨论的是理论的发展和对特殊的或多变领域机理的模拟，然后再针对连续模拟方法应用到工厂选址、道路选择、人行道的规划、政策和社会经济分析进行评论。最后，预测其未来研究的前景。

关键词: 连续模拟方法, 二维空间问题, 模型的发展, 模型的应用

Abstract: The continuum modeling approach to transportation models is now gaining much attention because of its advantages in dealing with dense-network models，macroscopic problems，and initial phase planning． This paper aims to provide a comprehensive review of the development and applications of the two-dimensional continuum modeling approach．We first discuss the theoretical development and models with specific or arbitrary region configurations，and then review the applications of the continuum modeling approach to the determination of facility location，route choice，pedestrian flow，and policy and socio-economical analysis． Finally，we propose some prospective directions for future research．

Key words: continuum modeling approach, two-dimensional problems, model developments, model applications

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 .

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 .

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http://www.tseit.org.cn/CN/Y2006/V6/I6/53

参考文献

[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．