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Volumn 25, Issue 4, 2005, Pages 303-326

Dantzig-Wolfe decomposition of variational inequalities

Author keywords

Dantzig Wolfe decomposition; Economic equilibrium; Variational inequality

Indexed keywords


EID: 23144437965     PISSN: 09277099     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10614-005-2519-x     Document Type: Article
Times cited : (27)

References (38)
  • 1
    • 0007924913 scopus 로고
    • Computation of Market Equilibrium for Policy Analysis: The Project Independence Evaluation System Approach
    • Ph.D. Dissertation, Department of Engineering-Economic System, Stanford University; also a book, Garland Publishing Inc
    • Ahn, B.H. (1979). Computation of Market Equilibrium for Policy Analysis: the Project Independence Evaluation System Approach. Ph.D. Dissertation, Department of Engineering-Economic System, Stanford University; also a book, Garland Publishing Inc.
    • (1979)
    • Ahn, B.H.1
  • 2
    • 0002631476 scopus 로고
    • On convergence of the PIES algorithm for computing equilibria
    • Ahn, B.H. and Hogan, W.W. (1982). On convergence of the PIES algorithm for computing equilibria. Operations Research, 30, 281-300.
    • (1982) Operations Research , vol.30 , pp. 281-300
    • Ahn, B.H.1    Hogan, W.W.2
  • 3
    • 4043138107 scopus 로고    scopus 로고
    • Entropic proximal decomposition methods for convex programs and variational inequalities
    • Auslender, A. and Teboulle, M. (2001). Entropic proximal decomposition methods for convex programs and variational inequalities. Mathematical Programming, Series A, 91, 33-47.
    • (2001) Mathematical Programming, Series A , vol.91 , pp. 33-47
    • Auslender, A.1    Teboulle, M.2
  • 4
    • 0043114048 scopus 로고    scopus 로고
    • A decomposition approach to multiregional environmental planning: A numerical study
    • C. Carraro A. Haurie (eds.) Kluwer Academic Publishers Drodrecht
    • O. Bahn A. Haurie S. Kypreos J.-P. Vial 1996 A decomposition approach to multiregional environmental planning: A numerical study In: C. Carraro A. Haurie (eds.) Operations Research and Environmental Management Kluwer Academic Publishers Drodrecht 119-132
    • (1996) Operations Research and Environmental Management , pp. 119-132
    • Bahn, O.1    Haurie, A.2    Kypreos, S.3    Vial, J.-P.4
  • 5
    • 23144436176 scopus 로고
    • The equivalence of transfer and generalized benders decomposition methods for traffic assignment
    • MR987920
    • Barton, R.R., Hearn, D.W. and Lawphongpanich, S. (1989). The equivalence of transfer and generalized benders decomposition methods for traffic assignment. Transportation Research, 23B, 61-73.
    • (1989) Transportation Research , vol.23 B , pp. 61-73
    • Barton, R.R.1    Hearn, D.W.2    Lawphongpanich, S.3
  • 8
    • 23144438678 scopus 로고    scopus 로고
    • New Decomposition Methods for Economic Equilibrium Models with Applications to Decomposition by Region
    • Ph.D. Thesis, Department of Management Sciences, University of Waterloo, Waterloo, Ontario, Canada
    • Chung, W. (1999). New Decomposition Methods for Economic Equilibrium Models with Applications to Decomposition by Region. Ph.D. Thesis, Department of Management Sciences, University of Waterloo, Waterloo, Ontario, Canada.
    • (1999)
    • Chung, W.1
  • 9
    • 0031084765 scopus 로고    scopus 로고
    • 2 emission control in Canada and the USA
    • 10.1016/S0140-9883(96)01009-2
    • 2 emission control in Canada and the USA. Energy Economics, 19, 103-124. 10.1016/S0140-9883(96)01009-2
    • (1997) Energy Economics , vol.19 , pp. 103-124
    • Chung, W.1    Wu, Y.J.2    Fuller, J.D.3
  • 10
    • 84867927290 scopus 로고    scopus 로고
    • A new demand-supply decomposition method for a class of economic equilibrium models
    • 10.1023/A:1023995710308
    • Chung, W., Fuller, J.D. and Wu, Y.J. (2001). A new demand-supply decomposition method for a class of economic equilibrium models. Computational Economics, 21, 231-243. 10.1023/A:1023995710308
    • (2001) Computational Economics , vol.21 , pp. 231-243
    • Chung, W.1    Fuller, J.D.2    Wu, Y.J.3
  • 11
    • 23144450734 scopus 로고    scopus 로고
    • A new decomposition method for multi-regional economic equilibrium models
    • in press
    • Chung, W., Fuller, J.D. and Wu, Y.J. (2003). A new decomposition method for multi-regional economic equilibrium models. Operations Research, in press.
    • (2003) Operations Research
    • Chung, W.1    Fuller, J.D.2    Wu, Y.J.3
  • 12
    • 0000039065 scopus 로고
    • The decomposition algorithm for linear programs
    • Dantzig, G.B. and Wolfe, P. (1961). The decomposition algorithm for linear programs. Econometric, 29 (4), 767-778.
    • (1961) Econometric , vol.29 , Issue.4 , pp. 767-778
    • Dantzig, G.B.1    Wolfe, P.2
  • 14
    • 0029423693 scopus 로고
    • The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems
    • Dirkse, S.P. and Ferris, M.C. (1995). The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems. Optimization Methods and Software, 5, 123-156.
    • (1995) Optimization Methods and Software , vol.5 , pp. 123-156
    • Dirkse, S.P.1    Ferris, M.C.2
  • 15
    • 0009456517 scopus 로고
    • A model for the assessment of the impacts of energy free trade on Canada
    • Fuller, J.D. (1992). A model for the assessment of the impacts of energy free trade on Canada. INFOR, 30, 207-221.
    • (1992) INFOR , vol.30 , pp. 207-221
    • Fuller, J.D.1
  • 16
    • 0034999856 scopus 로고    scopus 로고
    • The national energy modeling system: A large-scale energy-economic equilibrium model
    • 10.1287/opre.49.1.14.11195
    • Gabriel, S.A., Kydes, A.S. and Whitman, P. (2001). The national energy modeling system: A large-scale energy-economic equilibrium model. Operations Research, 49 (1), 14-25. 10.1287/opre.49.1.14.11195
    • (2001) Operations Research , vol.49 , Issue.1 , pp. 14-25
    • Gabriel, S.A.1    Kydes, A.S.2    Whitman, P.3
  • 18
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • 10.1007/BF01582255
    • Marker, P.T. and Pang, J.S. (1990). Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Mathematical Programming, 48, 161-220. 10.1007/BF01582255
    • (1990) Mathematical Programming , vol.48 , pp. 161-220
    • Marker, P.T.1    Pang, J.S.2
  • 19
    • 0037373439 scopus 로고    scopus 로고
    • New decomposition methods for solving variational inequality problems
    • 10.1016/S0895-7177(03)00016-5
    • Han, D. and Sun, W. (2003). New decomposition methods for solving variational inequality problems. Mathematical and Computer Modelling, 37, 405-418. 10.1016/S0895-7177(03)00016-5
    • (2003) Mathematical and Computer Modelling , vol.37 , pp. 405-418
    • Han, D.1    Sun, W.2
  • 20
    • 0242462717 scopus 로고    scopus 로고
    • A new inexact alternating directions method for monotone variational inequalities
    • 10.1007/s101070100280
    • He, B.S., Liao, L.Z., Han, D. and Yang, H. (2002). A new inexact alternating directions method for monotone variational inequalities. Mathematical Programming, 92, 103-118. 10.1007/s101070100280
    • (2002) Mathematical Programming , vol.92 , pp. 103-118
    • He, B.S.1    Liao, L.Z.2    Han, D.3    Yang, H.4
  • 21
    • 0033259347 scopus 로고    scopus 로고
    • Decomposition method for a class of monotone variational inequality problems
    • 10.1023/A:1021736008175
    • He, B.S., Liao, L.Z. and Yang, H. (1999). Decomposition method for a class of monotone variational inequality problems. Journal of Optimization Theory and Applications, 103, 603-622. 10.1023/ A:1021736008175
    • (1999) Journal of Optimization Theory and Applications , vol.103 , pp. 603-622
    • He, B.S.1    Liao, L.Z.2    Yang, H.3
  • 22
    • 0032178315 scopus 로고    scopus 로고
    • Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities
    • 10.1016/S0167-6377(98)00044-3
    • He, B.S. and Yang, H. (1998). Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Operations Research Letters, 23, 151-161. 10.1023/A:1021736008175
    • (1998) Operations Research Letters , vol.23 , pp. 151-161
    • He, B.S.1    Yang, H.2
  • 23
    • 23144461554 scopus 로고
    • Practical and theoretical aspects of aggregation problems in transportation planning models
    • Elsevier Science Publishers
    • Hearn, D.W. (1984). Practical and theoretical aspects of aggregation problems in transportation planning models. In Transportation Planning Models. Elsevier Science Publishers.
    • (1984) Transportation Planning Models
    • Hearn, D.W.1
  • 24
    • 0035340070 scopus 로고    scopus 로고
    • Linear complementarity models of Nash Cournot competition in bilateral and POOLCO power markets
    • 10.1109/59.918286
    • Hobbs, B.F. (2001). Linear complementarity models of Nash Cournot competition in bilateral and POOLCO power markets. IEEE Transactions on Power Systems, 16, 194-202. 10.1109/59.918286
    • (2001) IEEE Transactions on Power Systems , vol.16 , pp. 194-202
    • Hobbs, B.F.1
  • 25
    • 0021286345 scopus 로고
    • Simplicial decomposition of the asymmetric traffic assignment problem
    • Lawphongpanich, S. and Hearn, D.W. (1984). Simplicial decomposition of the asymmetric traffic assignment problem. Transportation Research, 18B, 123-133.
    • (1984) Transportation Research , vol.18 B , pp. 123-133
    • Lawphongpanich, S.1    Hearn, D.W.2
  • 26
    • 0039703195 scopus 로고
    • Benders decomposition for variational inequalities
    • 10.1007/BF01582257
    • Lawphongpanich, S. and Hearn, D.W. (1990). Benders decomposition for variational inequalities. Mathematical Programming, 48, 231-247. 10.1007/BF01582257
    • (1990) Mathematical Programming , vol.48 , pp. 231-247
    • Lawphongpanich, S.1    Hearn, D.W.2
  • 27
    • 0003045189 scopus 로고    scopus 로고
    • The Kyoto Protocol, Inter-provincial cooperation, and energy trading: A systems analysis with integrated MARKAL models
    • Loulou, R. and Kanudia, A. (1999). The Kyoto Protocol, Inter-provincial cooperation, and energy trading: A systems analysis with integrated MARKAL models. Energy Studies Review, 9, 1-23.
    • (1999) Energy Studies Review , vol.9 , pp. 1-23
    • Loulou, R.1    Kanudia, A.2
  • 28
    • 23144447077 scopus 로고
    • Column dropping procedures for the generalized programming algorithm
    • Murphy, F.H. (1973). Column dropping procedures for the generalized programming algorithm. Management Science, 19, 1310-1321.
    • (1973) Management Science , vol.19 , pp. 1310-1321
    • Murphy, F.H.1
  • 29
    • 0027554002 scopus 로고
    • Making large-scale models manageable: Modeling from an operations management perspective
    • Murphy, F.H. (1993). Making large-scale models manageable: Modeling from an operations management perspective. Operations Research, 41 (2), 241-252.
    • (1993) Operations Research , vol.41 , Issue.2 , pp. 241-252
    • Murphy, F.H.1
  • 30
    • 0024015375 scopus 로고
    • Modeling and forecasting energy markets with the intermediate future forecasting system
    • Murphy, F.H., Conti, J.J., Sanders, R. and Shaw, S.H. (1988). Modeling and forecasting energy markets with the intermediate future forecasting system. Operations Research, 36, 406-420.
    • (1988) Operations Research , vol.36 , pp. 406-420
    • Murphy, F.H.1    Conti, J.J.2    Sanders, R.3    Shaw, S.H.4
  • 31
    • 0040250953 scopus 로고    scopus 로고
    • A decomposition approach for a class of economic equilibrium models
    • Murphy, F.H. and Mudrageda, M.V. (1998). A decomposition approach for a class of economic equilibrium models. Operations Research, 46, 368-377.
    • (1998) Operations Research , vol.46 , pp. 368-377
    • Murphy, F.H.1    Mudrageda, M.V.2
  • 35
    • 23144462698 scopus 로고    scopus 로고
    • Market incompleteness in regional electricity transmission. Part I: The forward market
    • 10.1023/A:1023959902430
    • Smeers, Y. (2003a). Market incompleteness in regional electricity transmission. Part I: The forward market. Networks and Spatial Economics, 3, 151-174. 10.1023/A:1023959902430
    • (2003) Networks and Spatial Economics , vol.3 , pp. 151-174
    • Smeers, Y.1
  • 36
    • 23144462698 scopus 로고    scopus 로고
    • Market incompleteness in regional electricity transmission. Part II: The forward and real time markets
    • 10.1023/A:1023916120177
    • Smeers, Y. (2003b). Market incompleteness in regional electricity transmission. Part II: The forward and real time markets. Networks and Spatial Economics, 3, 175-196. 10.1023/A:1023916120177
    • (2003) Networks and Spatial Economics , vol.3 , pp. 175-196
    • Smeers, Y.1
  • 37
    • 20044372188 scopus 로고    scopus 로고
    • Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices
    • Wei, J.-Y. and Smeers, Y. (1999). Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices. Operations Research, 47, 102-112.
    • (1999) Operations Research , vol.47 , pp. 102-112
    • Wei, J.-Y.1    Smeers, Y.2
  • 38
    • 0030926732 scopus 로고    scopus 로고
    • Assessing the control of energy-related CO 2 emissions with a dynamic energy process model
    • Wu, Y.J. and Chung, W. (1997). Assessing the control of energy-related CO 2 emissions with a dynamic energy process model. Energy, The International Journal, 22, 693-704.
    • (1997) Energy, The International Journal , vol.22 , pp. 693-704
    • Wu, Y.J.1    Chung, W.2


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