메뉴 건너뛰기




Volumn 101, Issue 1, 2004, Pages 33-55

An MPEC approach to second-best toll pricing

Author keywords

Congestion Pricing; Mathematical Programming with Equilibrium Constraints; Traffic Equilibrium

Indexed keywords

ALGORITHMS; ECONOMICS; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

EID: 23944444746     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-004-0536-5     Document Type: Conference Paper
Times cited : (115)

References (43)
  • 1
    • 33645431157 scopus 로고
    • The economics of traffic congestion
    • Arnott, R., Small, K.: The economics of traffic congestion. Am. Sci. 20 (2), 123-127 (1994)
    • (1994) Am. Sci. , vol.20 , Issue.2 , pp. 123-127
    • Arnott, R.1    Small, K.2
  • 2
    • 0024739313 scopus 로고
    • Variational principles for variational inequalities
    • Auchmuty, G.: Variational principles for variational inequalities. Numer. Func. Anal. Optim. 10, 863-874 (1989)
    • (1989) Numer. Func. Anal. Optim. , vol.10 , pp. 863-874
    • Auchmuty, G.1
  • 6
    • 0035520345 scopus 로고    scopus 로고
    • A bilevel model for toll optimization on a multicommodity transportation network
    • Brotcorne, L., Labbé, M., Marcotte, P., Savard, G.: A bilevel model for toll optimization on a multicommodity transportation network. Trans. Sci. 35 (4), 345-358 (2001)
    • (2001) Trans. Sci. , vol.35 , Issue.4 , pp. 345-358
    • Brotcorne, L.1    Labbé, M.2    Marcotte, P.3    Savard, G.4
  • 7
    • 0033118714 scopus 로고    scopus 로고
    • Minimum revenue congestion pricing Part I: A fast algorithm for the single-origin case
    • Dial, R.: Minimum revenue congestion pricing Part I: A fast algorithm for the single-origin case. Trans. Res. B 33 (3), 189-202 (1999)
    • (1999) Trans. Res. B , vol.33 , Issue.3 , pp. 189-202
    • Dial, R.1
  • 8
    • 0034333598 scopus 로고    scopus 로고
    • Minimum revenue congestion pricing Part II: A fast algorithm for the general case
    • Dial, R.: Minimum revenue congestion pricing Part II: A fast algorithm for the general case. Trans. Res. B 34 (8), 645-665 (2000)
    • (2000) Trans. Res. B , vol.34 , Issue.8 , pp. 645-665
    • Dial, R.1
  • 10
    • 0036605014 scopus 로고    scopus 로고
    • Road network toll pricing and social welfare
    • Ferrari, P.: Road network toll pricing and social welfare. Trans. Res. B 36 (5), 471-483 (2002)
    • (2002) Trans. Res. B , vol.36 , Issue.5 , pp. 471-483
    • Ferrari, P.1
  • 11
    • 0043138172 scopus 로고    scopus 로고
    • Numerical experience with solving MPECs as NLPs
    • Department of Mathematics, University of Dundee
    • Fletcher, R., Leyffer, S.: Numerical experience with solving MPECs as NLPs. Numerical Analysis Report NA/210, Department of Mathematics, University of Dundee, 2002
    • (2002) Numerical Analysis Report NA/210
    • Fletcher, R.1    Leyffer, S.2
  • 12
    • 0013159608 scopus 로고    scopus 로고
    • Local convergence of SQP methods for mathematical programs with equilibrium constraints
    • Department of Mathematics, University of Dundee
    • Fletcher, R., Leyffer, S., Ralph, D., Scholtes, S.: Local convergence of SQP methods for mathematical programs with equilibrium constraints. Numerical Analysis Report NA/209, Department of Mathematics, University of Dundee, 2002
    • (2002) Numerical Analysis Report NA/209
    • Fletcher, R.1    Leyffer, S.2    Ralph, D.3    Scholtes, S.4
  • 13
    • 77957094045 scopus 로고
    • Network equilibrium models and algorithms
    • Chapter 6 of Network Routing, M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (eds.), North-Holland, New York
    • Florian, M., Hearn, D.W.: Network equilibrium models and algorithms. Chapter 6 of Handbooks in Operations Research and Management Science. In: Network Routing, M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (eds.), Volume 8, North-Holland, New York, 1995
    • (1995) Handbooks in Operations Research and Management Science , vol.8
    • Florian, M.1    Hearn, D.W.2
  • 14
    • 84987046957 scopus 로고
    • An efficient implementation of the PARTAN variant of the linear approximation method for the network equilibrium problem
    • Florian, M., Guélat, J., Spiess, H.: An efficient implementation of the PARTAN variant of the linear approximation method for the network equilibrium problem. Networks 17, 319-339 (1987)
    • (1987) Networks , vol.17 , pp. 319-339
    • Florian, M.1    Guélat, J.2    Spiess, H.3
  • 15
    • 0020846035 scopus 로고
    • Alternative variational inequality formulations of the network equilibrium-travel choice problem
    • Fisk, C.S., Boyce, D.E.: Alternative variational inequality formulations of the network equilibrium-travel choice problem. Trans. Sci. 17 (4), 454-463 (1983)
    • (1983) Trans. Sci. , vol.17 , Issue.4 , pp. 454-463
    • Fisk, C.S.1    Boyce, D.E.2
  • 16
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • Fukushima, M.: Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems. Math. Program. 53, 99-110 (1992)
    • (1992) Math. Program. , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 17
    • 0002358032 scopus 로고    scopus 로고
    • Merit functions for variational inequality and complementarity problems
    • G. Di Pillo, F. Giannessi (eds.), Plenum Publishing Corporation, New York
    • Fukushima, M.: Merit functions for variational inequality and complementarity problems. In: Nonlinear Optimization and Applications, G. Di Pillo, F. Giannessi (eds.), Plenum Publishing Corporation, New York, 1996
    • (1996) Nonlinear Optimization and Applications
    • Fukushima, M.1
  • 18
    • 0019011137 scopus 로고
    • Optimal traffic assignment with elastic demands: A Review, Part I
    • Gartner, N.H.: Optimal traffic assignment with elastic demands: A Review, Part I. Analysis Framework. Trans. Sci. 14 (2), 174-191 (1980)
    • (1980) Analysis Framework. Trans. Sci. , vol.14 , Issue.2 , pp. 174-191
    • Gartner, N.H.1
  • 19
    • 0001673058 scopus 로고
    • A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
    • Gauvin, J.: A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming. Math. Program. 12, 136-138 (1977)
    • (1977) Math. Program. , vol.12 , pp. 136-138
    • Gauvin, J.1
  • 20
    • 0002837748 scopus 로고    scopus 로고
    • Solving congestion toll pricing models
    • P. Marcotte, S. Nguyen (eds.), Kluwer Academic Publishers, Boston
    • Hearn, D.W., Ramana, M.V.: Solving congestion toll pricing models. In: Equilibrium and Advanced Transportation Modeling, P. Marcotte, S. Nguyen (eds.), Kluwer Academic Publishers, Boston, 1998, pp. 109-124
    • (1998) Equilibrium and Advanced Transportation Modeling , pp. 109-124
    • Hearn, D.W.1    Ramana, M.V.2
  • 21
    • 2942524781 scopus 로고    scopus 로고
    • A toll pricing framework for traffic assignment problems with elastic demands
    • Miscellanea in Honor of Michael Florian, M. Gendreau, P. Marcotte (eds.), Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Hearn, D.W., Yildirim, M.B.: A toll pricing framework for traffic assignment problems with elastic demands. In: Current Trends in Transportation and Network Analysis: Miscellanea in Honor of Michael Florian, M. Gendreau, P. Marcotte (eds.), Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001
    • (2001) Current Trends in Transportation and Network Analysis
    • Hearn, D.W.1    Yildirim, M.B.2
  • 22
    • 33645435443 scopus 로고    scopus 로고
    • A first-best toll pricing framework for variable demand traffic assignment problems
    • To appear
    • Hearn, D.W., Yildirim, M.B.: A first-best toll pricing framework for variable demand traffic assignment problems. Trans. Res. B. To appear 2004
    • (2004) Trans. Res. B.
    • Hearn, D.W.1    Yildirim, M.B.2
  • 23
    • 0003266099 scopus 로고    scopus 로고
    • What is the scope for environmental road pricing?
    • K.J. Button, E.T. Verhoef (eds.), Edward Elgar Publishing Limited, London, England
    • Johansson-Stenman, O., Sterner, T.: What is the scope for environmental road pricing? In: Road pricing, Traffic Congestion and Environment, K.J. Button, E.T. Verhoef (eds.), Edward Elgar Publishing Limited, London, England, 1998
    • (1998) Road Pricing, Traffic Congestion and Environment
    • Johansson-Stenman, O.1    Sterner, T.2
  • 24
    • 0032295962 scopus 로고    scopus 로고
    • A bilevel model of taxation and its application to optimal highway pricing
    • Labbé, M., Marcotte, P., Savard, G.: A bilevel model of taxation and its application to optimal highway pricing. Manage. Sci. 44 (12), 1608-1622 (1998)
    • (1998) Manage. Sci. , vol.44 , Issue.12 , pp. 1608-1622
    • Labbé, M.1    Marcotte, P.2    Savard, G.3
  • 25
    • 0010092596 scopus 로고    scopus 로고
    • Side constrained traffic equilibrium models-traffic management through link tolls
    • P. Marcotte, S. Nguyen (eds.), Kluwer Academic Publishers, New York
    • Larsson, T., Patriksson, M.: Side constrained traffic equilibrium models-traffic management through link tolls. In: Equilibrium and Advanced Transportation Modelling, P. Marcotte, S. Nguyen (eds.), Kluwer Academic Publishers, New York, 1998, pp. 125-151
    • (1998) Equilibrium and Advanced Transportation Modelling , pp. 125-151
    • Larsson, T.1    Patriksson, M.2
  • 26
    • 0016565756 scopus 로고
    • An efficient approach to solving the road network equilibrium traffic assignment problem
    • LeBlanc, L.J., Morlok, E.K., Pierskalla, W.P.: An efficient approach to solving the road network equilibrium traffic assignment problem. Trans. Res. 9, 309-318 (1975)
    • (1975) Trans. Res. , vol.9 , pp. 309-318
    • Leblanc, L.J.1    Morlok, E.K.2    Pierskalla, W.P.3
  • 27
    • 11244332852 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, Maryland
    • Lim, A.: Transportation network design problems: An MPEC approach. Ph.D. Dissertation, Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, Maryland, 2002
    • (2002) Transportation Network Design Problems: An MPEC Approach
    • Lim, A.1
  • 29
    • 49949133603 scopus 로고
    • The Fritz John optimal necessary optimality conditions in the presence of equality and inequality constraints
    • Mangasarian, O.L., Fromovitz, S.: The Fritz John optimal necessary optimality conditions in the presence of equality and inequality constraints. J. Math. Anal. Appl. 17, 37-47 (1967)
    • (1967) J. Math. Anal. Appl. , vol.17 , pp. 37-47
    • Mangasarian, O.L.1    Fromovitz, S.2
  • 30
    • 0020751978 scopus 로고
    • Network optimization with continuous control parameters
    • Marcotte, P.: Network optimization with continuous control parameters. Trans. Sci. 17 (2), 181-197 (1983)
    • (1983) Trans. Sci. , vol.17 , Issue.2 , pp. 181-197
    • Marcotte, P.1
  • 31
    • 0000248234 scopus 로고    scopus 로고
    • Exact and inexact penalty methods for the generalized bilevel programming problem
    • Marcotte, P., Zhu, D.L.: Exact and inexact penalty methods for the generalized bilevel programming problem. Math. Program. A 74 (2), 141-157 (1996)
    • (1996) Math. Program. A , vol.74 , Issue.2 , pp. 141-157
    • Marcotte, P.1    Zhu, D.L.2
  • 32
    • 0029416772 scopus 로고
    • Urban highway congestion: An analysis of second-best tolls
    • McDonald, J.F.: Urban highway congestion: An analysis of second-best tolls. Trans. 22, 353-369 (1995)
    • (1995) Trans. , vol.22 , pp. 353-369
    • McDonald, J.F.1
  • 33
    • 0010087082 scopus 로고
    • Bilevel programming in traffic planning: Models, methods and challenge
    • Migdalas, A.: Bilevel programming in traffic planning: models, methods and challenge. J. Global Optim. 7, 381-405 (1995)
    • (1995) J. Global Optim. , vol.7 , pp. 381-405
    • Migdalas, A.1
  • 35
    • 0036687653 scopus 로고    scopus 로고
    • A mathematical model and descent algorithm for bilevel traffic management
    • Patriksson, M., Rockafellar, R.T.: A mathematical model and descent algorithm for bilevel traffic management. Trans. Sci. 36 (3), 271-291 (2002)
    • (2002) Trans. Sci. , vol.36 , Issue.3 , pp. 271-291
    • Patriksson, M.1    Rockafellar, R.T.2
  • 36
    • 0034139059 scopus 로고    scopus 로고
    • Mathematical programs with complimentarity constraints: Stationarity, optimality, and sensitivity
    • Scheel, H., Scholtes, S.: Mathematical programs with complimentarity constraints: stationarity, optimality, and sensitivity. Math. Oper. Res. 25 (1), 1-22 (2000)
    • (2000) Math. Oper. Res. , vol.25 , Issue.1 , pp. 1-22
    • Scheel, H.1    Scholtes, S.2
  • 38
    • 0036212332 scopus 로고    scopus 로고
    • Second-best congestion pricing in general static transportation networks with elastic demands
    • Verhoef, E.T.: Second-best congestion pricing in general static transportation networks with elastic demands. Region. Sci. Urban Econ. 32 (3), 281-310 (2002)
    • (2002) Region. Sci. Urban Econ. , vol.32 , Issue.3 , pp. 281-310
    • Verhoef, E.T.1
  • 39
    • 0036722520 scopus 로고    scopus 로고
    • Second-best congestion pricing in general networks: Algorithms for finding second-best optimal toll levels and toll points
    • Verhoef, E.T.: Second-best congestion pricing in general networks: Algorithms for finding second-best optimal toll levels and toll points. Trans. Res. B 36 (8), 707-729 (2002)
    • (2002) Trans. Res. B , vol.36 , Issue.8 , pp. 707-729
    • Verhoef, E.T.1
  • 40
    • 0031206646 scopus 로고    scopus 로고
    • Traffic restraint, road pricing and network equilibrium
    • Yang, H., Bell, M.G.H.: Traffic restraint, road pricing and network equilibrium. Trans. Res. B 33 (4), 303-314 (1997)
    • (1997) Trans. Res. B , vol.33 , Issue.4 , pp. 303-314
    • Yang, H.1    Bell, M.G.H.2
  • 41
    • 0030247901 scopus 로고    scopus 로고
    • Optimal road tolls under conditions of queuing and congestion
    • Yang, H., Lam, W.H.K.: Optimal road tolls under conditions of queuing and congestion. Trans. Res. A 30 (5), 319-332 (1996)
    • (1996) Trans. Res. A , vol.30 , Issue.5 , pp. 319-332
    • Yang, H.1    Lam, W.H.K.2
  • 43
    • 33645446509 scopus 로고    scopus 로고
    • Modeling variable demand equilibrium under second-best road pricing
    • Institute of Transportation Studies, University of California at Davis
    • Zhang, H.M., Ge, Y.E.: Modeling variable demand equilibrium under second-best road pricing. Working Paper, Institute of Transportation Studies, University of California at Davis, 2002
    • (2002) Working Paper
    • Zhang, H.M.1    Ge, Y.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.