메뉴 건너뛰기




Volumn 8, Issue 3, 2007, Pages 241-257

A globally convergent algorithm for transportation continuous network design problem

Author keywords

B level programming; Continuous network design problem; Global convergence; Method of successive averages

Indexed keywords

HEURISTIC ALGORITHMS; ITERATIVE METHODS; OPTIMIZATION; SENSITIVITY ANALYSIS;

EID: 34547879233     PISSN: 13894420     EISSN: 15732924     Source Type: Journal    
DOI: 10.1007/s11081-007-9015-1     Document Type: Conference Paper
Times cited : (43)

References (39)
  • 1
    • 0018441832 scopus 로고
    • Continuous equilibrium network design models
    • Abdulaal M, LeBlanc LJ (1979) Continuous equilibrium network design models. Transp Res B 13:19-32
    • (1979) Transp Res B , vol.13 , pp. 19-32
    • Abdulaal, M.1    LeBlanc, L.J.2
  • 2
    • 0000503918 scopus 로고
    • Urban transportation network equilibrium and design models: Recent achievements and future prospectives
    • Boyce DE (1984) Urban transportation network equilibrium and design models: Recent achievements and future prospectives. Environ Plan A 16:1445-1474
    • (1984) Environ Plan A , vol.16 , pp. 1445-1474
    • Boyce, D.E.1
  • 3
    • 0033338953 scopus 로고    scopus 로고
    • Optimization of area traffic control for equilibrium network flows
    • Chiou SW (1999) Optimization of area traffic control for equilibrium network flows. Transp Sci 33:279-289
    • (1999) Transp Sci , vol.33 , pp. 279-289
    • Chiou, S.W.1
  • 4
    • 0004068754 scopus 로고
    • Sensitivity analysis of equilibrium network flows and its application to the development of solution methods for equilibrium network design problems
    • PhD dissertation. University of Pennsylvania, Philadelphia
    • Cho HJ (1988) Sensitivity analysis of equilibrium network flows and its application to the development of solution methods for equilibrium network design problems. PhD dissertation. University of Pennsylvania, Philadelphia
    • (1988)
    • Cho, H.J.1
  • 5
    • 0009043644 scopus 로고    scopus 로고
    • The continuous equilibrium optimal network design problem: A genetic approach
    • In: Elsevier, Netherlands
    • Cree ND, Maher MJ (1998) The continuous equilibrium optimal network design problem: A gRnetic approach. In: Transportation networks: recent methodological advances. Elsevier, Netherlands, pp 163-174
    • (1998) Transportation Networks: Recent Methodological Advances , pp. 163-174
    • Cree, N.D.1    Maher, M.J.2
  • 6
    • 0002036820 scopus 로고
    • Traffic equilibria and variational inequalities
    • Dafermos S (1980) Traffic equilibria and variational inequalities. Transp Sci 14:42-54
    • (1980) Transp Sci , vol.14 , pp. 42-54
    • Dafermos, S.1
  • 7
    • 0021371581 scopus 로고
    • Sensitivity analysis for the asymmetric network equilibrium problem
    • Dafermos S, Nagurney A (1984) Sensitivity analysis for the asymmetric network equilibrium problem. Math Program 28:174-184
    • (1984) Math Program , vol.28 , pp. 174-184
    • Dafermos, S.1    Nagurney, A.2
  • 8
    • 0019728090 scopus 로고
    • An equivalent optimization problem with combined multiclass distribution assignment and modal split which obviates symmetry restriction
    • Friesz TL (1981) An equivalent optimization problem with combined multiclass distribution assignment and modal split which obviates symmetry restriction. Transp Res B 15:361-369
    • (1981) Transp Res B , vol.15 , pp. 361-369
    • Friesz, T.L.1
  • 9
    • 0022268736 scopus 로고
    • Transportation network equilibrium, design and aggregation: Key developments and research opportunities
    • Friesz TL (1985) Transportation network equilibrium, design and aggregation: Key developments and research opportunities. Transp Res A 19:413-427
    • (1985) Transp Res A , vol.19 , pp. 413-427
    • Friesz, T.L.1
  • 10
    • 0022115398 scopus 로고
    • Properties of the iterative optimization equilibrium algorithm
    • Friesz TL, Harker PT (1985) Properties of the iterative optimization equilibrium algorithm. Civ Eng Syst 2:142-154
    • (1985) Civ Eng Syst , vol.2 , pp. 142-154
    • Friesz, T.L.1    Harker, P.T.2
  • 11
    • 0000791350 scopus 로고
    • Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints
    • Friesz TL et al (1990) Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints. Math Program 48:265-284
    • (1990) Math Program , vol.48 , pp. 265-284
    • Friesz, T.L.1
  • 12
    • 0027541681 scopus 로고
    • The multiobjective equilibrium network design problem revisited: A simulated annealing approach
    • Friesz TL et al (1993) The multiobjective equilibrium network design problem revisited: A simulated annealing approach. Eur J Oper Res 65:44-57
    • (1993) Eur J Oper Res , vol.65 , pp. 44-57
    • Friesz, T.L.1
  • 13
    • 0036568077 scopus 로고    scopus 로고
    • A reserve capacity model of optimal signal control with user-equilibrium route choice
    • Gao ZY, Song YF (2002) A reserve capacity model of optimal signal control with user-equilibrium route choice. Transp Res B 36:313-323
    • (2002) Transp Res B , vol.36 , pp. 313-323
    • Gao, Z.Y.1    Song, Y.F.2
  • 15
    • 11244341317 scopus 로고    scopus 로고
    • Solution algorithm for the bi-level discrete network design problem
    • Gao ZY, Wu JJ, Sun HJ (2005) Solution algorithm for the bi-level discrete network design problem. Transport Res B 39:479-495
    • (2005) Transport Res B , vol.39 , pp. 479-495
    • Gao, Z.Y.1    Wu, J.J.2    Sun, H.J.3
  • 17
    • 0024225952 scopus 로고
    • Toward developing a national transportation planning model: A bilevel programming approach for Korea
    • XXSPED
    • Kim TJ, Suh S (1988) Toward developing a national transportation planning model: A bilevel programming approach for Korea. Ann Reg Sci XXSPED:65-80
    • (1988) Ann Reg Sci , pp. 65-80
    • Kim, T.J.1    Suh, S.2
  • 19
    • 0021376457 scopus 로고
    • Network design and transportation planning: Models and algorithms
    • Magnanti TL, Wong RT (1984) Network design and transportation planning: models and algorithms. Transp Sci 18:1-55
    • (1984) Transp Sci , vol.18 , pp. 1-55
    • Magnanti, T.L.1    Wong, R.T.2
  • 20
    • 0013240063 scopus 로고
    • Inequalities for stochastic nonlinear programming problems
    • Mangasarian OL, Rosen JB (1964) Inequalities for stochastic nonlinear programming problems. Oper Res 12:143-154
    • (1964) Oper Res , vol.12 , pp. 143-154
    • Mangasarian, O.L.1    Rosen, J.B.2
  • 21
    • 0020751978 scopus 로고
    • Network optimization with continuous control parameters
    • Marcotte P (1983) Network optimization with continuous control parameters. Transp Sci 17:181-197
    • (1983) Transp Sci , vol.17 , pp. 181-197
    • Marcotte, P.1
  • 22
    • 0022675593 scopus 로고
    • Network design problem with congestion effects: A case of bi-level programming
    • Marcotte P (1986) Network design problem with congestion effects: A case of bi-level programming. Math Program 34:142-162
    • (1986) Math Program , vol.34 , pp. 142-162
    • Marcotte, P.1
  • 23
    • 0001530554 scopus 로고
    • Efficient implementation of heuristics for the continuous network design problem
    • Marcotte P, Marquis G (1992) Efficient implementation of heuristics for the continuous network design problem. Ann Oper Res 34:163-176
    • (1992) Ann Oper Res , vol.34 , pp. 163-176
    • Marcotte, P.1    Marquis, G.2
  • 24
    • 0000248234 scopus 로고    scopus 로고
    • Exact and inexact penalty methods for the generalized bilevel programming problems
    • Marcotte P, Zhu DL (1996) Exact and inexact penalty methods for the generalized bilevel programming problems. Math Program 74:141-157
    • (1996) Math Program , vol.74 , pp. 141-157
    • Marcotte, P.1    Zhu, D.L.2
  • 25
    • 0035192102 scopus 로고    scopus 로고
    • An equivalent continuously differentiable model and a locally convergent algorithm for the continuous networks design problem
    • Meng Q, Yang H, Bell MGH (2001) An equivalent continuously differentiable model and a locally convergent algorithm for the continuous networks design problem. Transp Res B 35:83-105
    • (2001) Transp Res B , vol.35 , pp. 83-105
    • Meng, Q.1    Yang, H.2    Bell, M.G.H.3
  • 27
    • 34547881286 scopus 로고
    • The convergence of equilibrium algorithms with predetermined step size
    • Powell WB, Sheffi Y (1982) The convergence of equilibrium algorithms with predetermined step size. Transp Sci 6:5-55
    • (1982) Transp Sci , vol.6 , pp. 5-55
    • Powell, W.B.1    Sheffi, Y.2
  • 28
  • 31
    • 0023455739 scopus 로고
    • Equilibrium decomposed optimization: A heuristic for the continuous equilibrium network design problem
    • Suwansirikul C, Friesz TL, Tobin RL (1987) Equilibrium decomposed optimization: A heuristic for the continuous equilibrium network design problem. Transp Sci 21:254-263
    • (1987) Transp Sci , vol.21 , pp. 254-263
    • Suwansirikul, C.1    Friesz, T.L.2    Tobin, R.L.3
  • 33
    • 0024108601 scopus 로고
    • Sensitivity analysis for equilibrium network flows
    • Tobin RL, Friesz TL (1988) Sensitivity analysis for equilibrium network flows. Transp Sci 22:242-250
    • (1988) Transp Sci , vol.22 , pp. 242-250
    • Tobin, R.L.1    Friesz, T.L.2
  • 34
    • 0031257379 scopus 로고    scopus 로고
    • Reserve capacity of a signal-controlled road network
    • Wong SC, Yang H (1997) Reserve capacity of a signal-controlled road network. Transp Res Part B 31:397-402
    • (1997) Transp Res Part B , vol.31 , pp. 397-402
    • Wong, S.C.1    Yang, H.2
  • 35
    • 58149321155 scopus 로고
    • Sensitivity analysis for queuing equilibrium network flow and its application to traffic control
    • Yang H (1995) Sensitivity analysis for queuing equilibrium network flow and its application to traffic control. Math Comput Model 22:247-258
    • (1995) Math Comput Model , vol.22 , pp. 247-258
    • Yang, H.1
  • 36
    • 0031062320 scopus 로고    scopus 로고
    • Sensitivity analysis for the elastic demand network equilibrium problem with applications
    • Yang H (1997) Sensitivity analysis for the elastic demand network equilibrium problem with applications. Transp Res B 31:55-70
    • (1997) Transp Res B , vol.31 , pp. 55-70
    • Yang, H.1
  • 37
    • 0031829844 scopus 로고    scopus 로고
    • Models and algorithm for road network design: A review and some new developments
    • Yang H, Bell MGH (1998) Models and algorithm for road network design: A review and some new developments. Transp Rev 18(3):257-278
    • (1998) Transp Rev , vol.18 , Issue.3 , pp. 257-278
    • Yang, H.1    Bell, M.G.H.2
  • 38
    • 0028734443 scopus 로고
    • Traffic assignment and traffic control in general freeway-arterial corridor systems
    • Yang H, Yagar S (1994) Traffic assignment and traffic control in general freeway-arterial corridor systems. Transp Res B 28:463-486
    • (1994) Transp Res B , vol.28 , pp. 463-486
    • Yang, H.1    Yagar, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.