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Original Articles

A common network flow formulation for several civil engineering problems

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Pages 195-203 | Received 01 May 1984, Published online: 20 Sep 2007

References

  • ZangwiU , W. I. Non-linear programming , Prentice-Hall, Inc. , Englewood Cliffs , NJ , USA , 1969
  • Kuhn , H. and Tucker , A. W. Nonlinear programming , Proc. Second Berkeley Symp. on Math. Strat. and Prob. , 1950
  • LeBlanc , L. , Morlok , E. K. and Pierskalla , W. P. An efficient approach to solving the road network equilibrium traffic assignment problem , Trans. Res. , 1975 , 9
  • Frank , M. and Wolfe , P. An algorithm for quadratic programming , Naval Res. Logistics Qu. , 1956 , 3
  • Eash , R. W. , Janson , B. N. and Boyce , D. E. Equilibrium trip assignement advantages and implications for practice , Transp. Res. Rec , 1979 , 728
  • Loenberger , D. G. Introduction to linear and nonlinear programming , Addison-Wesley , Reading , Mass. , 1973
  • Ford , L. R. and Fulkerson , D. R. Flow in networks , Princeton University Press , Princeton , NJ , 1962
  • Kennington , J. and Helgason , R. Algorithms for network programming , John Wiley , New York , 1980
  • Cross , H. Analysis of flow in network of conduits or conductors , Bull. 236 , University of Illinois , Urbana , III. , 1936
  • Hall , M. A. Hydraulic network analysis using (generalized) geometric programming , Networks 6 , 1976
  • Collins , M. , Cooper , L. , Helgason , R. , Kennington , J. and LeBlanc , L. Solving the pipe network analysis problem using optimization techniques , Manage. Sci. , 1978 , 1A ( 7 )
  • Jeppson , R. W. Analysis of flow in pipe networks , Ann Arbor Science , 1975
  • Fenves , S. J. and Branin , F. H. Network-topological formulation of structural analysis , J. Struct. Div., ASCE , 1963 , 89
  • Fenves , S. J. Structural analysis by networks, matrices and computers , J. Struct. Div., ASCE , 1966 , 92
  • Fenves , S. J. A note on flow networks and structures , unpublished working paper , Carnegie-Mellon University , Pittsburgh , PA , 1982
  • Kennington , J. Solving multicommodity transportation problems using a primal partitioning simplex technique , Naval Res. Logistics Q. , 1977 , 24
  • Assad , A. A. Multicommodity network flows-a survey , Networks , 1978 , 8
  • Wardrop , J. G. Some theoretical aspects of road traffic research , Proc. Inst. Civ. Engrs , Part 2, Vol. 1 , 1952
  • Bureau of Public Roads , Traffic assignment manual , US Dept. of Commerce , Urban Planning Division , Washington , DC , 1964
  • Highway Research Board , Highway capacity manual, Special report 87 , Washington , DC , 1965
  • Branston , D. Link capacity functions a review , Transp. Res. , 1976 , 10
  • Boyce , D. E. , Janson , B. N. and Eash , R. W. The effects on equilibrium trip assignment of different link congestion functions , Transp. Res. , 1981 , 15A
  • Florian , M. , Nguyen , S. Ferland , J. On the combined distribution-assignment of traffic , Transp. Sci. , 1975 , 9 ( 7 )
  • Evans , S. P. Derivation and analysts of some models for combining trip distribution and assignment , Transp. Res. , 1976 , 10
  • Fulkerson , D. R. A network flow computation for project cost curves , Manage. Sci. , 1961 , 8 ( 2 )
  • Kelley , J. E. Critical path scheduling and planning mathematical basis , Oper. Res. , 1961 , 9 ( 2 )
  • Meyer , W. L , and Shaffer , L. R. Extending CPM for multiform project time-cost curves , J. Construct. Div., ASCE , 1965 , 91
  • Panagiotakopoolos , D. Cost-time model for large CPM project networks , J. Construct. Div., ASCE , 1977 , 103

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