Optimization Models of Transportation Network Improvement

Agarwal S. K. 1973: Optimization techniques for the interaction design of transportation networks under multiple objectives. PhD Dissertation, Northwestern University.

Ahmed Y. 1976: Road investment programming for developing countries: an Indonesian example. Evanston, Illinois: Northwestern University, Transportation Centre, Monograph No. 3.

Allen J. A. 1969: The optimal sequencing of expressway network construction. University College, London, Department of Town Planning, Discussion Paper No. 5.

Baligh H. H. Dellinger D. C. Volpp L. D. 1972. An algebra for the design and analysis of transportation networks. Transportation Science 6, 354–78.

Barber G. M. 1974: An optimization approach to a node-network development problem. PhD Thesis, University of Toronto.

1975: A mathematical programming approach to a network development problem. Economic Geography 51, 128–41.

1977: Sequencing highway network improvements: a case study of South Sulawesi. Economic Geography 53, forthcoming.

Barbier M. 1966: Le future réseau de transports en région de Paris. Cahiers de L'Institut d'Aménagement et d'Urbanisme de la Région Parisienne 4–5: 4.

Beckmann M. J. 1967: Principles of optimum location for transportation networks. In Garrison W. L. Marble D. F. editors, Quantitative geography: Volume I, Evanston, Illinois: Northwestern University Studies in Geography No. 13, pp. 95–119.

Beenhakker H. L. 1973: Approaches to dynamic transport planning. Transportation 2, 245–80.

Beenhakker H. L. Danskin J. G. 1973. Economies of stage construction for transport facilities. Transportation Research 7, 163–78.

Bellheimer J. W. Gray P. 1973: Network design with fixed and variable cost elements. Transportation Science 7, 49–74.

Bergendahl G. 1968: Capacity planning models for systems of plant and road investments. Swedish Journal of Economics 70, 94–105.

1969a: Models for investments in a road network. Stockholm: Bonniers.

1969b: A combined linear and dynamic programming model for interdependent road investment planning. Transportation Research 3, 211–28.

1971: Principles of heuristic programming: on solving large and complex resource allocation problems. Stockholm University, Department of Business Administration, Research Report No. 62.

Bos H. C. Koyck L. M. 1961: The appraisal of road construction projects: a practical example. Review of Economics and Statistics 43, 13–20.

Boyce D. E. Farhi A. Weschiedel R. 1973: Optimal network problem: a branch-and-bound algorithm. Environment and Planning 5, 519–33.

Brotchie J. Sharpe R. Dickey J. 1974: The integration of land use and transportation planning using modelling techniques. In Traffic control and transportation systems, Amsterdam: North-Holland Press, 311–35.

Bruynooghe M. 1972: An optimal method of choice of investments in a transportation network. In Urban traffic model research, London: Planning and Transportation Research and Computation Ltd.

Burstall R. M. 1966: Computer design of electricity supply networks by an heuristic method. Computer Journal 9, 263–74.

1967: Tree searching methods with an application to a network design problem. Machine Intelligence 1, 65–85.

Bushell G. 1970: An optimization model of traffic assignment and network improvement for the freeway system of Southern Ontario. University of Toronto, Centre for Urban and Community Studies, Research Paper 40.

Byrne B. F. 1975: Public transportation line positions and headways for minimum user and systems cost in a radial case. Transportation Research 9, 97–102.

1976: Cost minimizing positions, lengths and headways for parallel public transit lines having different speeds. Transportation Research 10, 209–14.

Byrne B. F. Vuchic V. 1972: Public transportation line positions and headways for minimum cost. Traffic flow and transportation Newell G. , editor, New York: American Elsevier, 347–60.

Carter E. C. Stowers J. C. 1963: Models for funds allocation for urban highway system capacity improvements. Highway Research Record No. 20, pp, 84–102.

Chan Y. 1976: A method to simplify network representation in transportation planning. Transportation Research 10, 179–91.

Chan Y. Follansbee K. G. Manheim M. L. Mumford J. R. 1968: Aggregation in transport networks: an application of hierarchical structure. Massachusetts Institute of Technology, Department of Civil Engineering, Research Report R68–47.

Chapman L. D. 1973: Investing in regional highway networks. Transportation Engineering Journal TE2, 353–62.

Cockayne E. J. Melzak Z. A. 1968: Steiner's problem for set terminals. Quarterly of Applied Mathematics 56, 213–18.

Cole L. M. 1965: Planning for optimal capacity under uncertainty with application to highway transportation systems. PhD Dissertation, Harward University.

Creighton R. L. Hock I. Schneider M. Joseph H. 1960: Estimating efficient spacing for arterials and expressways. Highway Research Board, Bulletin 253, 1–43.

de Neufville R. Mori Y. 1970: Optimal highway staging by dynamic programming. Transportation Engineering Journal ASCE, TE1, 11–23.

Dickey J. 1972: Minimizing economic segregation through transit system changes: a goal programming approach. In Traffic Flow and Transportation, Proceedings of the Fifth International Symposium on the Theory of Traffic Flow, New York: American Elsevier, 87–108.

Dickey J. Azola M. P. 1972: An adaptive programming technique for sequencing highway improvements to affect land use growth. Regional Studies 6, 331–42.

Doulliez P. J. 1968: Optimizing the investment policy on a transportation network. Catholic University of Louvain, Center for Operations Research and Econometrics, Discussion Paper No. 6822.

Douilliez P. J. Rao R. M. 1969: Removing arcs from a network with increasing requirements. Catholic University of Louvain, Center for Operations Research and Econometrics, Discussion Paper No. 6920.

Fawaz M. Y. Newell G. F. 1976: Optimal spacings for a rectangular grid transportation network—1: A hierarchy structure. II: Revised assignments. Transportation Research 10, 111–30.

Frey S. C. Nemhauser G. L. 1972: Temporal expansion of a transportation network—I. Transportation Science 6, 306–23; II—6, 395–406.

Friedrich P. 1956: Mathematical description of life in settled areas and derivation of plan layout thereof as a problem of theoretical town planning. Second International Symposium in Traffic Flow, 346–68.

Fulkerson D. R. 1959: Increasing the capacity of a network: the parametric budget problem. Management Science 5, 472–83.

Funk M. L. Tillman F. A. 1968: Optimal construction staging by dynamic programming. Journal of the Highway Division ASCE, 255–65.

Gardiner M. T. 1971: The basic geometric approach to network optimization applied to system design. Proceedings of the Association of American Geographers 3, 52–6.

Garrison W. L. Marble D. F. 1958: Analysis of highway networks: a linear programming formulation. Proceedings of the Highway Research Board 37, 1–17.

Gilbert E. N. Pollak H. O. 1968: Steiner minimal trees. Journal of the Society for Industrial and Applied Mathematics 16, 1–29.

Goldman A. J. Nemhauser G. L. 1967: A transport improvement problem Transformable to a best-path problem. Transportation Science 1, 295–307.

Gomory R. E. Hu T. C. 1964: Synthesis of a communication network. SIAM Journal of Applied Mathematics 12, 348–69.

Groboillot J. L. Gallas L. 1967: Optimalisation d'un projet routier par recherche du plus court chemin dans un graphe à trois dimensions. Revue Française d'Informatique et Recherche Operationelle 1, 99–121.

Hammer P. L. 1969: Increasing the capacity of a network. Canadian Operations Research Society Journal 7, 83–91.

Hanan M. 1966: On Steiner's Problem with rectilinear distance. SIAM Journal 14, 255–65.

Harris B. 1970: Generating projects for urban research. Environment and Planning 2, 1–21.

Hauer E. 1972: Optimal form of a class of collection-distribution networks. In Newell G. F. , editor, Fifth International Symposium on the Theory of Traffic Flow and Transportation, New York: American Elsevier.

Hay G. Morlok E. K. Charnes A. 1966: Toward optimal planning of a two-mode urban transportation system: a linear programming formulation. Highway Research Record 148, 20–38.

Herschdorfer A. M. 1968: Optimal synthesis of a road network. In McConaughy D. Clawson C. J. , editors, Business logistics: policies and decisions, Los Angeles: University of Southern California Research Institute for Business and Economics, 179–92.

Hoc H. H. 1973: A computational approach to the selection of an optimal network. Management Science 19, 488–98.

Hodgson M. J. 1972: Highway network development and optimal accessibility change in the Toronto-centred region. Unpublished PhD Thesis, University of Toronto.

1973: Staging interurban highway construction by dynamic programming. Annals of Regional Science 8, 123–36.

Holland E. P. 1972: Economic system models for transport sector studies. Washington, DC: International Bank for Reconstruction and Development, Economic Staff Working Paper No. 131.

Holling C. S. 1973: Resilience and stability of ecological systems. Laxenburg, Austria: International Institute for Applied Systems, Research Report..

Holroyd E. M. 1967: Optimum bus service: a theoretical model for a large uniform urban area. In Edie L. U. , editors, Vehicular traffic science, New York: American Elsevier.

Hopkins L. D. 1974: Plan, projection, policy—mathematical programming and planning theory. Environment and Planning 6, 419–30.

Horn W. A. 1968: Optimal networks joining points in the plane. Proceedings of the 4th International Symposium of Traffic Flow. Karlsruhe.

Hutchinson B. G. 1969: Structuring urban transportation planning decisions: the use of statistical decision theory. Environment and Planning 1, 209–20.

1972: Programming of regional highway investments. Transportation Engineering Journal TE3, 493–508.

Jorgenson N. O. 1963: Some aspects of the urban traffic assignment problem. University of California, Berkeley: Institute of Transportation and Traffic Engineering, Graduate Report..

Kahn A. M. 1971: Transport policy analysis: a decision-theoretic framework. Socio-Economic Planning Sciences S: 159–71.

Kalaba R. E. Juncosa M. L. 1956: Optimum design and utilization of communication networks. Management Science 3, 33–43.

Kapur K. C. 1970: Mathematical methods of optimization for multi-objective transportation systems. Warren, Michigan: General Motors Research Laboratories, Research Publication GMR-965.

Kaufmann W. 1928: Uber eine minimale aufgabe der verkehrstechhnik. Der Bauingeniewr 31, 558–61.

Knight U. G. W. 1960: The logical design of electrical networks using linear programming methods. Proceedings of the Institute of Electrical Engineering A107, 306–19.

Kresge D. T. Roberts P. O. 1971: Systems analysis and simulation models. Washington, DC: The Brookings Institution.

Lack G. N. T. 1968: A model for the economic evaluation of rural road improvements. Australian Road Research Board 4, 322–79.

Leblanc L. J. 1975: An algorithm for the discrete network design problem. Transportation Science 9, 183–99.

Los M. 1975: Simultaneous optimization of land use and transportation: A synthesis of the quadratic assignment and optimal network problem. Université de Montreal: Centre de Recherche sur les Transportes, Publication No. 31.

Lundqvist L. 1973: Integrated location-transportation analysis: a decomposition approach. Regional and Urban Economics 3, 233–62.

1975: Transportation analysis and activity location in land use planning with applications to the Stockholm region. In Karlqvist A. , editors, Dynamic allocation of urban space. Westmead, England: Saxon House, 227–57.

MacKinnon R. D. 1968: The concept of system flexibility within a transportation context. PhD Dissertation, Northwestern University.

MacKinnon R. D. Barber G. M. 1971: A new approach to network generation and map representation: the linear case of the location-allocation problem. Geographical Analysis 4, 156–68.

MacKinnon R. D. Hodgson M. J. 1970: Optimal transportation networks: a case study of highway systems. Environment and Planning 2, 267–84.

Manheim M. L. 1966: Hierarchical structure: a model of design and planning processes. Cambridge, Mass.: MIT Press.

McLoughlin G. T. 1973: Transportation networks. Paper presented at the 44th National Operations Research Society of America Meeting, San Diego.

Melzak Z. A. 1961: On the problem of Steiner. Canadian Mathematical Bulletin 4, 143–148.

Midler J. L. 1971: Investment in network expansion under uncertainty. Transportation Research 4, 267–80.

Miehle W. 1958: Link length minimization in networks. Operations Research 4, 232–43.

Miller R. E. 1967: An optimization model for transport planning. Transportation Research 1, 271–86.

Morlok E. K. 1970: A goal directed transportation planning model. Transportation Research 4, 199–213.

Morlok E. K. Nihan N. L. Sullivan R. F. 1969: The development of a geographic transportation network generation and evaluation model. Northwestern University Transportation Center, Report for Transport Systems Planning Division, Office of High-Speed Ground Transportation.

Murchland J. D. 1970: Braess' paradox of traffic flow. Transportation Research 4, 391–4.

Newell G. F. 1974: Optimal network geometry. Sixth International Symposium on Transportation and Traffic Theory. New York: Elsevier, 561–80.

Ochoa-Rosso F. 1968: Applications of discrete optimization techniques to capital investment and network synthesis problems. PhD Dissertation, Massachusetts Institute of Technology.

Ochoa-Rosso F. Silva A. 1968: Optimum project addition in urban transportation networks via descriptive traffic assignment methods. Massachusetts Institute of Technology, Department of Civil Engineering, Research Report No. R68-44.

Oettli W. Prager W. 1971: Optimal and suboptimal capacity allocation in communication networks. Journal of Optimization Theory and Applications 8, 396–411.

Pearce C. E. M. 1974: Locating concentric ring roads in a city. Transportation Science 8, 142–68.

Pearman A. 1974: Heuristic approaches to road network optimization. Engineering Optimization 1, 37–49.

Prager W. 1961: On the design of communication and transportation networks. Proceedings of the First International Symposium on the Theory of Traffic Flow, New York: Elsevier.

Prim R. C. 1957: Shortest connection networks and some generalizations. Bell System Technical Journal 36, 1389–1401.

Putnam S. H. 1975: Urban land use and transportation models: a state-of-the-art summary. Transportation Research 9, 187–202.

Quant R. E. 1960: Models of transportation and optimal network construction. Journal of Regional Science 2, 27–45.

Ridley T. M. 1968: An investment policy to reduce the travel time in a transportation network. Transportation Research 2, 409–24.

Roberts P. O. 1966: Transportation planning: models for developing countries. PhD Dissertation, Northwestern University.

Roberts P. O. Kresge D. T. 1971: Systems analysis and simulation models. Washington, DC: Brookings Institution.

Roe T. Shane M. 1973: Programming approach to urban transit planning. Transportation Engineering Journal TE3 571–84.

Rosenhead J. 1973: The optimum location of transverse transport links. Transportation Research 7, 107–23.

Schneider J. B. 1971: Solving urban location problems: human intuition versus the computer. Journal of the American Institute of Planners 37, 95–9.

Schwartz J. G. 1968: Network flow and synthesis models for transport planning. Massachusetts Institute of Technology, Department of Civil Engineering, Research Report R68-49.

Scott A. J. 1967: An integer program for the optimization of a system of chromatic graphs. Journal of Regional Science 7, 291–6.

1969: The optimal network problem: some computational procedures. Transportation Research 3, 201–10.

1971: Combinatorial programming, spatial analysis and planning. London: Methuen.

Sen L. 1971: The geometric structure of an optimal transport network in a limited city-hinterland case. Geographical Analysis 3, 1–14.

Stairs S. 1968: Selecting an optimal traffic network. Journal of Transport Economics and Policy 2, 218–31.

Steenbrink P. A. 1974a: Optimization of transport networks. London: Wiley.

1974b: Transport network optimization in the Dutch integral transportation study. Transportation Research 8, 11–27.

Straszheim M. R. 1970: Researching the role of transportation in regional development. Land Economics 48, 212–19.

Taborga P. 1966: A model to study an optimal transportation policy in Chile. Massachusetts Institute of Technology, Department of Civil Engineering, Research Report R66-68.

Tanner J. C. 1968: A theoretical model for the design of a motorway system. Transportation Research 7, 107–23.

Tinbergen J. 1957: The appraisal of road construction: two calculation schemes. Review of Economics and Statistics 39, 241–9.

Tomlin J. A. 1966: Minimum-cost multi-commodity network flows. Operations Research 14, 45–51.

Vickery W. 1967: Optimization of traffic and facilities. Journal of Transport Economics and Policy 1, 123–36.

Vuchic V. R. 1971: Concept of flexibility in transportation systems. High Speed Ground Transportation Journal 5, 53–62.

Walters A. A. 1968: A development model of transport. American Economic Review, Papers and Proceedings 58, 360–77.

Wang J. Snell R. R. Funk M. L. 1968: Toward a solution for the optimal allocation of investments in urban transportation networks. Highway Research Record No. 238, 23–45.

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Werner C. 1966: Zur Geometrie von Verkehrsnetzen. Die Beziehung zwischen raeumlicher Netzgestaltung und Wirtschaftlichkeit. Free University of Berlin: Publications of the First Department of Geography No. 10.

1968a: The role of topology and geometry in optimal network design. Papers of the Regional Science Association 21, 173–90.

1968b: The law of refraction in transportation geography: its multivariate extension. Canadian Geographer 12, 28–40.

1969: Networks of minimum length. Canadian Geographer 13, 47–69.

1970: Formal problems of transportation impact research. Annals of Regional Science 4, 134–50.

Werner C. Olsen W. T. Stutz F. P. Sims L. S. Meyburg A. H. Alao N. O. 1968: A research seminar in theoretical transportation geography. In Horton F. , editor, Geographic studies of urban transportation on network analysis. Northwestern Studies in Geography No. 16, Evanston, Illinois, 128–70.

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Wesolowsky G. O. 1975: Location of the median line for weighted points. Environment and Planning 7, 163–70.