Chapter 6 Network equilibrium models and algorithms

[1]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[2]  Masao Fukushima,et al.  A globally convergent Newton method for solving strongly monotone variational inequalities , 1993, Math. Program..

[3]  Jia Hao Wu,et al.  A general descent framework for the monotone variational inequality problem , 1990, Math. Program..

[4]  A. Nagurney.  Network Economics: A Variational Inequality Approach , 1992 .

[5]  Patrice Marcotte,et al.  A Newton-SOR Method for Spatial Price Equilibrium , 1992, Transp. Sci..

[6]  Thomas L. Magnanti,et al.  Sensitivity Analysis for Variational Inequalities , 1992, Math. Oper. Res..

[7]  Torbjörn Larsson,et al.  Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem , 1992, Transp. Sci..

[8]  Masao Fukushima,et al.  Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems , 1992, Math. Program..

[9]  M. Florian,et al.  AN ALGORITHM FOR THE SPATIAL PRICE EQUILIBRIUM PROBLEM ON A GENERAL NETWORK IN THE SPACE OF THE PATH FLOWS , 1991 .

[10]  D. Hearn,et al.  A DUAL ASCENT ALGORITHM FOR TRAFFIC ASSIGNMENT PROBLEMS , 1990 .

[11]  Donald W. Hearn,et al.  Benders decomposition for variational inequalities , 1990, Math. Program..

[12]  Patrick T. Harker,et al.  Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..

[13]  D. Van Vliet,et al.  A Full Analytical Implementation of the PARTAN/Frank-Wolfe Algorithm for Equilibrium Assignment , 1990, Transp. Sci..

[14]  Thomas L. Magnanti,et al.  Sensitivity Analysis for Variational Inequalities Defined on Polyhedral Sets , 1989, Math. Oper. Res..

[15]  Marguerite Frank.  The Equilibrium Worth of a Network Link , 1989, Transp. Sci..

[16]  Anna Nagurney,et al.  Supply and Demand Equilibration Algorithms for a Class of Market Equilibrium Problems , 1989, Transp. Sci..

[17]  Anna Nagurney,et al.  Parallel and Serial Variational Inequality Decomposition Algorithms for Multicommodity Market Equilibrium Problems , 1989, Int. J. High Perform. Comput. Appl..

[18]  Russell R. Barton,et al.  The equivalence of transfer and generalized benders decomposition methods for traffic assignment , 1989 .

[19]  Anna Nagurney,et al.  An Algorithm for the Solution of a Quadratic Programming Problem, with Application to Constrained Matrix and Spatial Price Equilibrium Problems , 1989 .

[20]  Giles Auchmuty.  Variational principles for variational inequalities , 1989 .

[21]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[22]  Ron S. Dembo,et al.  Computing equilibria on large multicommodity networks: An application of truncated quadratic programming algorithms , 1988, Networks.

[23]  Richard Steinberg,et al.  The Prevalence of Paradoxes in Transportation Equilibrium Problems , 1988, Transp. Sci..

[24]  Terry L. Friesz,et al.  Sensitivity Analysis for Equilibrium Network Flow , 1988, Transp. Sci..

[25]  Hani S. Mahmassani,et al.  Some numerical results on the diagonalization algorithm for network assignment with asymmetric interactions between cars and trucks , 1988 .

[26]  Stella Dafermos,et al.  Sensitivity Analysis in Variational Inequalities , 1988, Math. Oper. Res..

[27]  Donald W. Hearn,et al.  Computing the effective resistance in a system of conducting sticks , 1988 .

[28]  D. Boyce,et al.  NETWORK EQUILIBRIUM MODELS OF URBAN LOCATION AND TRAVEL CHOICES: A RETROSPECTIVE SURVEY. IN: THE AUTOMOBILE , 1988 .

[29]  Patrice Marcotte,et al.  Adaptation of a Modified Newton Method for Solving the Asymmetric Traffic Equilibrium Problem , 1988, Transp. Sci..

[30]  Anna Nagurney,et al.  An equilibration scheme for the traffic assignment problem with elastic demands , 1988 .

[31]  Patrick T. Harker,et al.  Accelerating the convergence of the diagonalization and projection algorithms for finite-dimensional variational inequalities , 1988, Math. Program..

[32]  A. Nagurney.  COMPETITIVE EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND REGIONAL SCIENCE*† , 1987 .

[33]  Jerzy Kyparisis,et al.  Sensitivity analysis framework for variational inequalities , 1987, Math. Program..

[34]  Pitu Mirchandani,et al.  Generalized Traffic Equilibrium with Probabilistic Travel Times and Perceptions , 1987, Transp. Sci..

[35]  Roger L. Tobin,et al.  SENSITIVITY ANALYSIS FOR GENERAL SPATIAL PRICE EQUILIBRIA , 1987 .

[36]  A. Nagurney.  COMPUTATIONAL COMPARISONS OF SPATIAL PRICE EQUILIBRIUM METHODS , 1987 .

[37]  J. A. Ventura,et al.  Restricted simplicial decomposition: computation and extensions , 1987 .

[38]  J. Goffin.  Affine methods in nondifferentiable optimization , 1987 .

[39]  R. Dembo.  A primal truncated newton algorithm with application to large-scale nonlinear network optimization , 1987 .

[40]  Michael Florian,et al.  An efficient implementation of the "partan" variant of the linear approximation method for the network equilibrium problem , 1987, Networks.

[41]  Clermont Dupuis,et al.  The convergence conditions of diagonalization and projection methods for fixed demand asymmetric network equilibrium problems , 1986 .

[42]  P. Harker.  A note on the existence of traffic equilibria , 1986 .

[43]  Patrice Marcotte,et al.  Some comments on Wolfe's ‘away step’ , 1986, Math. Program..

[44]  Masao Fukushima,et al.  A relaxed projection method for variational inequalities , 1986, Math. Program..

[45]  Marino Lupi,et al.  Convergence of the Frank—Wolfe algorithm in transportation networks , 1986 .

[46]  P. Marcotte,et al.  A note on a globally convergent Newton method for solving monotone variational inequalities , 1986 .

[47]  Michael Florian,et al.  Nonlinear cost network models in transportation analysis , 1986 .

[48]  Patrice Marcotte,et al.  A new algorithm for solving variational inequalities with application to the traffic assignment problem , 1985, Math. Program..

[49]  David E. Boyce,et al.  Improved Efficiency of the Frank-Wolfe Algorithm for Convex Network Programs , 1985, Transp. Sci..

[50]  J. A. Ventura,et al.  Finiteness in restricted simplicial decomposition , 1985 .

[51]  Terry L. Friesz,et al.  TRANSPORTATION NETWORK EQUILIBRIUM, DESIGN AND AGGREGATION: KEY DEVELOPMENTS AND RESEARCH OPPORTUNITIES. IN: THE AUTOMOBILE , 1985 .

[52]  Malachy Carey,et al.  The dual of the traffic assignment problem with elastic demands , 1985 .

[53]  Jong-Shi Pang,et al.  Asymmetric variational inequality problems over product sets: Applications and iterative methods , 1985, Math. Program..

[54]  A. Weintraub,et al.  Accelerating convergence of the Frank-Wolfe algorithm☆ , 1985 .

[55]  P. Marcotte,et al.  A modified Newton method for solving variational inequalities , 1985, 1985 24th IEEE Conference on Decision and Control.

[56]  Yosef Sheffi,et al.  Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods , 1985 .

[57]  T. Friesz,et al.  Spatial price equilibrium sensitivity analysis , 1984 .

[58]  P. Harker,et al.  ALTERNATIVE ALGORITHMS FOR THE GENERAL NETWORK SPATIAL PRICE EQUILIBRIUM PROBLEM , 1984 .

[59]  David E. Boyce,et al.  Urban Transportation Network-Equilibrium and Design Models: Recent Achievements and Future Prospects , 1984 .

[60]  Anna Nagurney,et al.  Sensitivity Analysis for the General Spatial Economic Equilibrium Problem , 1984, Oper. Res..

[61]  Jong-Shi Pang,et al.  Linearized simplicial decomposition methods for computing traffic equilibria on networks , 1984, Networks.

[62]  J. Pang.  SOLUTION OF THE GENERAL MULTICOMMODITY SPATIAL EQUILIBRIUM PROBLEM BY VARIATIONAL AND COMPLEMENTARITY METHODS , 1984 .

[63]  D. Hearn,et al.  CONVEX PROGRAMMING FORMULATIONS OF THE ASYMMETRIC TRAFFIC ASSIGNMENT PROBLEM , 1984 .

[64]  M. Fukushima.  On the dual approach to the traffic assignment problem , 1984 .

[65]  Clermont Dupuis,et al.  An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs , 1984, Transp. Sci..

[66]  A. Nagurney,et al.  ON SOME TRAFFIC EQUILIBRIUM THEORY PARADOXES , 1984 .

[67]  D. Hearn,et al.  Simplical decomposition of the asymmetric traffic assignment problem , 1984 .

[68]  M. Fukushima.  A modified Frank-Wolfe algorithm for solving the traffic assignment problem , 1984 .

[69]  Mike Smith,et al.  Two alternative definitions of traffic equilibrium , 1984 .

[70]  Anna Nagurney,et al.  Sensitivity analysis for the asymmetric network equilibrium problem , 1984, Math. Program..

[71]  D. Bertsekas,et al.  Implementation of an optimal multicommodity network flow algorithm based on gradient projection and a path flow formulation , 1984 .

[72]  M. Florian.  AN INTRODUCTION TO NETWORK MODELS USED IN TRANSPORTATION PLANNING , 1984 .

[73]  Anna Nagurney,et al.  STABILITY AND SENSITIVITY ANALYSIS FOR THE GENERAL NETWORK EQUILIBRIUM-TRAVEL CHOICE MODEL , 1984 .

[74]  M. Florian.  Transportation planning models , 1984 .

[75]  T. Magnanti.  MODELS AND ALGORITHMS FOR PREDICTING URBAN TRAFFIC EQUILIBRIA , 1984 .

[76]  D W Hearn.  PRACTICAL AND THEORETICAL ASPECTS OF AGGREGATION PROBLEMS IN TRANSPORTATION PLANNING MODELS , 1984 .

[77]  C. Fisk,et al.  Alternative Variational Inequality Formulations of the Network Equilibrium-Travel Choice Problem , 1983 .

[78]  Mike Smith,et al.  An algorithm for solving asymmetric equilibrium problems with a continuous cost-flow function , 1983 .

[79]  John G. Klincewicz,et al.  A Newton method for convex separable network flow problems , 1983, Networks.

[80]  Mike J. Smith.  The existence and calculation of traffic equilibria , 1983 .

[81]  Carlos F. Daganzo,et al.  Stochastic network equilibrium with multiple vehicle types and asymmetric , 1983 .

[82]  Richard Steinberg,et al.  PREVALENCE OF BRAESS' PARADOX , 1983 .

[83]  Stella Dafermos,et al.  An iterative scheme for variational inequalities , 1983, Math. Program..

[84]  Terry L. Friesz,et al.  Equilibrium predictions in transportation markets: The state of the art , 1983 .

[85]  M. Florian,et al.  On Binary Mode Choice/Assignment Models , 1983 .

[86]  Dj Morris,et al.  Data Communication Networks , 1983 .

[87]  T. Magnanti,et al.  A linearization and decomposition algorithm for computing urban traffic equilibria , 1983 .

[88]  M. Florian,et al.  The convergence of diagonalization algorithms for asymmetric network equilibrium problems , 1982 .

[89]  Jong-Shi Pang,et al.  Iterative methods for variational and complementarity problems , 1982, Math. Program..

[90]  C. Daganzo.  Unconstrained Extremal Formulation of Some Transportation Equilibrium Problems , 1982 .

[91]  Sang Nguyen,et al.  Solution Algorithms for Network Equilibrium Models with Asymmetric User Costs , 1982 .

[92]  Warren B. Powell,et al.  An algorithm for the equilibrium assignment problem with random link times , 1982, Networks.

[93]  S. Dafermos.  Relaxation Algorithms for the General Asymmetric Traffic Equilibrium Problem , 1982 .

[94]  Donald W. Hearn,et al.  The gap function of a convex program , 1982, Operations Research Letters.

[95]  William W. Hogan,et al.  On Convergence of the PIES Algorithm for Computing Equilibria , 1982, Oper. Res..

[96]  Stella Dafermos,et al.  The general multimodal network equilibrium problem with elastic demand , 1982, Networks.

[97]  Warrren B Powell,et al.  The Convergence of Equilibrium Algorithms with Predetermined Step Sizes , 1982 .

[98]  D. Bertsekas,et al.  Projection methods for variational inequalities with application to the traffic assignment problem , 1982 .

[99]  D. Hearn,et al.  Convergence of the Frank-Wolfe method for certain bounded variable traffic assignment problems , 1981 .

[100]  D. Bertsekas.  Projected Newton methods for optimization problems with simple constraints , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[101]  Marguerite FRANK,et al.  The Braess paradox , 1981, Math. Program..

[102]  Sang Nguyen,et al.  Existence and Uniqueness Properties of an Asymmetric Two-Mode Equilibrium Model , 1981 .

[103]  Larry J. LeBlanc,et al.  Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems , 1981 .

[104]  Michael Florian,et al.  EMME/2: INTERACTIVE GRAPHIC METHOD FOR ROAD AND TRANSIT PLANNING , 1981 .

[105]  T. Magnanti,et al.  Equilibria on a Congested Transportation Network , 1981 .

[106]  S. Pallottino,et al.  Empirical evidence for equilibrium paradoxes with implications for optimal planning strategies , 1981 .

[107]  Warren B. Powell,et al.  A COMPARISON OF STOCHASTIC AND DETERMINISTIC TRAFFIC ASSIGNMENT OVER CONGESTED NETWORKS , 1981 .

[108]  J. G. Klincewicz,et al.  A scaled reduced gradient algorithm for network flow problems with convex separable costs , 1981 .

[109]  Convergence of Decomposition Algorithms for the Traffic Assignment Problem , 1981 .

[110]  M. Florian,et al.  A new look at static spatial price equilibrium models , 1982 .

[111]  Leon S. Lasdon,et al.  Feature Article - Survey of Nonlinear Programming Applications , 1980, Oper. Res..

[112]  C. Fisk.  Some developments in equilibrium traffic assignment , 1980 .

[113]  D. Bertsekas.  A class of optimal routing algorithms for communication networks , 1980 .

[114]  Andrés Weintraub,et al.  An algorithm for the traffic assignment problem , 1980, Networks.

[115]  K. Jörnsten,et al.  A Maximum Entropy Combined Distribution and Assignment Model Solved by Benders Decomposition , 1980 .

[116]  R. V. Helgason,et al.  Algorithms for network programming , 1980 .

[117]  Nathan H. Gartner,et al.  Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework , 1980 .

[118]  Nathan H. Gartner,et al.  Optimal traffic assignment with elastic demands: A Review , 1980 .

[119]  N. F. Stewart.  Equilibrium vs system-optimal flow: Some examples , 1980 .

[120]  Stella Dafermos,et al.  Traffic Equilibrium and Variational Inequalities , 1980 .

[121]  D. Kinderlehrer,et al.  An introduction to variational inequalities and their applications , 1980 .

[122]  L G Willumsen,et al.  SATURN - A SIMULATION-ASSIGNMENT MODEL FOR THE EVALUATION OF TRAFFIC MANAGEMENT SCHEMES , 1980 .

[123]  Gordon F. Newell,et al.  Traffic flow on transportation networks , 1980 .

[124]  C. Fisk.  More paradoxes in the equilibrium assignment problem , 1979 .

[125]  Mike Smith,et al.  The existence, uniqueness and stability of traffic equilibria , 1979 .

[126]  R L Tobin.  CALCULATION OF FUEL CONSUMPTION DUE TO TRAFFIC CONGESTION IN A CASE-STUDY METROPOLITAN AREA , 1979 .

[127]  Larry J. LeBlanc,et al.  Methods for Combining Modal Split and Equilibrium Assignment Models , 1979 .

[128]  Mike J. Smith.  The marginal cost taxation of a transportation network , 1979 .

[129]  N. F. Stewart,et al.  ON THE CALIBRATION OF THE COMBINED DISTRIBUTION-ASSIGNMENT MODEL , 1979 .

[130]  Vantagnetta,et al.  CAPACITY-RESTRAINED ROAD ASSIGNMENT , 1979 .

[131]  D W Hearn,et al.  Network aggregation in transportation planning models , 1979 .

[132]  Dietrich Braess,et al.  On the Existence of Equilibria in Asymmetrical Multiclass-User Transportation Networks , 1979 .

[133]  Dimitri P. Bertsekas,et al.  Algorithms for Nonlinear Multicommodity Network Flow Problems , 1979 .

[134]  M. Florian,et al.  A combined trip distribution modal split and trip assignment model , 1978 .

[135]  M. A. Hall,et al.  Properties of the Equilibrium State in Transportation Networks , 1978 .

[136]  Jeffery L. Kennington,et al.  Solving the Pipe Network Analysis Problem Using Optimization Techniques , 1978 .

[137]  Arjang A. Assad,et al.  Multicommodity network flows - A survey , 1978, Networks.

[138]  Arnoldo C. Hax.  Studies in operations management , 1978 .

[139]  B. Ahn.  Computation of market equilibria for policy analysis: the project independence evaluation system approach. , 1978 .

[140]  R. Asmuth.  Traffic network equilibria , 1978 .

[141]  Thomas L. Magnanti,et al.  TRANSPORTATION PLANNING: NETWORK MODELS AND THEIR IMPLEMENTATION , 1978 .

[142]  C. Daganzo.  On the traffic assignment problem with flow dependent costs—II , 1977 .

[143]  Balder Von Hohenbalken,et al.  Simplicial decomposition in nonlinear programming algorithms , 1977, Math. Program..

[144]  Michael Florian.  An improved linear approximation algorithm for the network equilibrium (packet switching) problem , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[145]  Carlos F. Daganzo,et al.  On Stochastic Models of Traffic Assignment , 1977 .

[146]  M. Florian.  A Traffic Equilibrium Model of Travel by Car and Public Transit Modes , 1977 .

[147]  Michael Florian,et al.  An Application and Validation of Equilibrium Trip Assignment Methods , 1976 .

[148]  Dirck Van Vliet.  ROAD ASSIGNMENT-III: COMPARATIVE TESTS OF STOCHASTIC METHODS , 1976 .

[149]  Dirck Van Vliet.  ROAD ASSIGNMENT--I: PRINCIPLES AND PARAMETERS OF MODEL FORMULATION , 1976 .

[150]  Dirck Van Vliet.  Road assignment—II: The GLTS model , 1976 .

[151]  Suzanne P. Evans,et al.  DERIVATION AND ANALYSIS OF SOME MODELS FOR COMBINING TRIP DISTRIBUTION AND ASSIGNMENT , 1976 .

[152]  A. Auslender.  Optimisation : méthodes numériques , 1976 .

[153]  Sang Nguyen,et al.  A Unified Approach to Equilibrium Methods for Traffic Assignment , 1976 .

[154]  J. E. Burrell.  Multiple Route Assignment: A Comparison of Two Methods , 1976 .

[155]  Michael Florian,et al.  Recent Experience with Equilibrium Methods for the Study of a Congested Urban Area , 1976 .

[156]  M. A. Hall.  Hydraulic network analysis using (generalized) geometric programming , 1976, Networks.

[157]  J. MacKinnon.  An algorithm for the generalized transportation problem , 1975 .

[158]  Balder Von Hohenbalken,et al.  A finite algorithm to maximize certain pseudoconcave functions on polytopes , 1975, Math. Program..

[159]  H. Kuhn,et al.  Sandwich method for finding fixed points , 1975 .

[160]  Larry J. LeBlanc,et al.  AN EFFICIENT APPROACH TO SOLVING THE ROAD NETWORK EQUILIBRIUM TRAFFIC ASSIGNMENT PROBLEM. IN: THE AUTOMOBILE , 1975 .

[161]  E. R. Petersen.  A Primal-Dual Traffic Assignment Algorithm , 1975 .

[162]  Sang Nguyen,et al.  On the Combined Distribution-Assignment of Traffic , 1975 .

[163]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

[164]  Charles A. Holloway.  An extension of the frank and Wolfe method of feasible directions , 1974, Math. Program..

[165]  Jacques A. Ferland,et al.  Minimum Cost Multicommodity Circulation Problem with Convex Arc-Costs , 1974 .

[166]  Michael Florian,et al.  A Method for Computing Network Equilibrium with Elastic Demands , 1974 .

[167]  D. Bertsekas.  On the Goldstein-Levitin-Polyak gradient projection method , 1974, CDC 1974.

[168]  Mario Gerla,et al.  Optimal Routing in a Packet-Switched Computer Network , 1974, IEEE Transactions on Computers.

[169]  A. Weintraub.  A Primal Algorithm to Solve Network Flow Problems with Convex Costs , 1974 .

[170]  S. Nguyen.  An Algorithm for the Traffic Assignment Problem , 1974 .

[171]  Earl R Ruiter.  IMPLEMENTATION OF OPERATIONAL NETWORK EQUILIBRIUM PROCEDURES , 1974 .

[172]  Larry J. LeBlanc,et al.  AN ACCURATE AND EFFICIENT APPROACH TO EQUILIBRIUM TRAFFIC ASSIGNMENT ON CONGESTED NETWORKS , 1974 .

[173]  Peter A. Steenbrink,et al.  Optimization of Transport Networks , 1974 .

[174]  R. W. Klessig,et al.  An algorithm for nonlinear multicommodity flow problems , 1974, Networks.

[175]  Stella Dafermos,et al.  Toll Patterns for Multiclass-User Transportation Networks , 1973 .

[176]  George L. Nemhauser,et al.  A Column Generation Algorithm for Optimal Traffic Assignment , 1973 .

[177]  Robert W. Rosenthal,et al.  The network equilibrium problem in integers , 1973, Networks.

[178]  Luigi Fratta,et al.  The flow deviation method: An approach to store-and-forward communication network design , 1973, Networks.

[179]  M. Netter.  Affectations de trafic et tarification au coût marginal social: critique de quelques idées admises , 1972 .

[180]  S. Dafermos.  The Traffic Assignment Problem for Multiclass-User Transportation Networks , 1972 .

[181]  R. M. Oliver,et al.  Flows in transportation networks , 1972 .

[182]  Stella Dafermos,et al.  An Extended Traffic Assignment Model with Applications to Two-Way Traffic , 1971 .

[183]  B. V. Shah,et al.  Integer and Nonlinear Programming , 1971 .

[184]  Robert B. Dial,et al.  A PROBABILISTIC MULTIPATH TRAFFIC ASSIGNMENT MODEL WHICH OBVIATES PATH ENUMERATION. IN: THE AUTOMOBILE , 1971 .

[185]  F T Sparrow,et al.  OPTIMAL RESOURCE ALLOCATION AND TOLL PATTERNS IN USER-OPTIMISED TRANSPORT NETWORKS , 1971 .

[186]  P. Zusman.  Spatial and temporal price and allocation models , 1971 .

[187]  J. D. Murchland,et al.  Braess's paradox of traffic flow , 1970 .

[188]  Stella C. Dafermos,et al.  Traffic assignment problem for a general network , 1969 .

[189]  M. Canon,et al.  A Tight Upper Bound on the Rate of Convergence of Frank-Wolfe Algorithm , 1968 .

[190]  W. S. Jewell,et al.  Models for traffic assignment , 1967 .

[191]  M J Beckmann.  ON THE THEORY OF TRAFFIC FLOW IN NETWORKS , 1967 .

[192]  PRICING THE USE OF THE ROADS-A MATHEMATICAL AND NUMERICAL STUDY , 1965 .

[193]  G. G. Judge,et al.  Equilibrium among Spatially Separated Markets: A Reformulation , 1964 .

[194]  B. V. Shah,et al.  Some Algorithms for Minimizing a Function of Several Variables , 1964 .

[195]  Leonard Kleinrock,et al.  Communication Nets: Stochastic Message Flow and Delay , 1964 .

[196]  Jack B. Dennis,et al.  Mathematical Programming and Electrical Networks , 1959, The Mathematical Gazette.

[197]  W. R. Buckland.  Theory of Traffic Flow , 1961 .

[198]  W W Cooper,et al.  EXTREMAL PRINCIPLES FOR SIMULATING TRAFFIC FLOW IN A NETWORK. , 1958, Proceedings of the National Academy of Sciences of the United States of America.

[199]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[200]  Philip Wolfe,et al.  An algorithm for quadratic programming , 1956 .

[201]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

[202]  F. Knight.  Some Fallacies in the Interpretation of Social Cost , 1924 .