# zbMATH — the first resource for mathematics

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 Documents Indexed: 58 Publications since 1990
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#### Co-Authors

 0 single-authored 24 Patriksson, Michael 9 Rönnberg, Elina 7 Strömberg, Ann-Brith 6 Rydergren, Clas 4 Lindberg, Per Olov 4 Migdalas, Athanasios 4 Quttineh, Nils-Hassan 3 Göthe-Lundgren, Maud 3 Liu, Zhuangwei 3 Yuan, Di 3 Zhao, Yixin 2 Amankwah, Henry 2 Beliën, Jeroen 2 Carlsson Tedgren, Åsa 2 Jonsson, Örjan 2 Kiwiel, Krzysztof Czesław 2 Lei, Lei 2 Lundgren, Jan T. 2 Mayambala, Fred 2 Ronnqvist, Mikael 2 Textorius, Björn 2 Van den Bergh, Jorne 2 Westerlund, Andreas 1 Aardal, Karen I. 1 Björkman, Gunnar 1 Daneva, Maria 1 Flisberg, Patrik 1 Grahn, Sofia 1 Gustavsson, Emil 1 Hellstrand, Johan 1 Holm, Åsa 1 Holmberg, Kaj 1 Johansson, Göran 1 Klarbring, Anders 1 Lundberg, Kristian 1 Marklund, Johan 1 Morén, Björn 1 Olsson, Caroline 1 Önnheim, Magnus 1 Pardalos, Panos M. 1 Sjödin, Björn 1 Varbrand, Peter
all top 5

#### Serials

 7 European Journal of Operational Research 5 Optimization 3 Mathematical Programming. Series A. Series B 2 Discrete Applied Mathematics 2 Mathematics of Operations Research 2 Operations Research Letters 2 Computational Optimization and Applications 2 Optimization Methods & Software 2 Optimization and Engineering 1 Computers and Structures 1 International Journal for Numerical Methods in Engineering 1 Le Matematiche 1 Operations Research 1 Computers & Operations Research 1 Transportation Science 1 Asia-Pacific Journal of Operational Research 1 Annals of Operations Research 1 Journal of Global Optimization 1 International Journal of Pure and Applied Mathematics 1 Discrete Optimization 1 Optimization Letters
all top 5

#### Fields

 54 Operations research, mathematical programming (90-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

37 Publications have been cited 294 times in 234 Documents Cited by Year
Simplicial decomposition with disaggregated representation for the traffic assignment problem. Zbl 0764.90033
1992
A class of gap functions for variational inequalities. Zbl 0819.65101
1994
Conditional subgradient optimization – theory and applications. Zbl 0913.90225
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1996
Ergodic, primal convergence in dual subgradient schemes for convex programming. Zbl 0946.90059
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1999
Lagrangian relaxation via ballstep subgradient methods. Zbl 1341.90100
Kiwiel, Krzysztof C.; Larsson, Torbjörn; Lindberg, P. O.
2007
A Lagrangean relaxation scheme for structured linear programs with application to multicommodity network flows. Zbl 0880.90101
1997
Column generation in the integral simplex method. Zbl 1180.90202
2009
Ergodic convergence in subgradient optimization. Zbl 0904.90131
Larsson, T.; Patriksson, M.; Strömberg, A.-B.
1998
Equilibrium characterizations of solutions to side constrained asymmetric traffic assignment models. Zbl 0839.90051
1994
A Lagrangean heuristic for the capacitated concave minimum cost network flow problem. Zbl 0812.90046
Larsson, Torbjörn; Migdalas, Athanasios; Rönnqvist, Mikael
1994
A stabilized column generation scheme for the traveling salesman subtour problem. Zbl 1111.90097
Westerlund, Andreas; Göthe-Lundgren, Maud; Larsson, Torbjörn
2006
An augmented Lagrangian algorithm for large scale multicommodity routing. Zbl 1044.90010
2004
On the convergence of conditional $$\varepsilon$$-subgradient methods for convex programs and convex-concave saddle-point problems. Zbl 1053.90107
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
2003
The efficiency of ballstep subgradient level methods for convex optimization. Zbl 0977.90036
Kiwiel, Krzysztof C.; Larsson, Torbjörn; Lindberg, P. O.
1999
A Benders decomposition based heuristic for the hierarchical production planning problem. Zbl 0692.90057
1990
Global optimality conditions for discrete and nonconvex optimization–with applications to Lagrangian heuristics and column generation. Zbl 1167.90633
2006
On traffic equilibrium models with a nonlinear time/money relation. Zbl 1175.90099
Larsson, Torbjörn; Lindberg, Per Olov; Patriksson, Michael; Rydergren, Clas
2002
Side constrained traffic equilibrium models – traffic management through link tolls. Zbl 1067.90509
1998
A dual scheme for traffic assignment problems. Zbl 0893.90055
Larsson, Torbjörn; Liu, Zhuangwei; Patriksson, Michael
1997
A set covering reformulation of the pure fixed charge transportation problem. Zbl 0799.90094
1994
An algorithm for nonlinear programs over Cartesian product sets. Zbl 0726.90069
1990
Sequential quadratic programming for nonlinear elastic contact problems. Zbl 0851.73077
Björkman, Gunnar; Klarbring, Anders; Sjödin, Björn; Larsson, Torbjörn; Rönnqvist, Mikael
1995
All-integer column generation for set partitioning: basic principles and extensions. Zbl 1339.90241
2014
A partial linearization method for the traffic assignment problem. Zbl 0818.90046
Larsson, T.; Migdalas, A.; Patriksson, M.
1993
A characterization of the uncapacitated network design polytope. Zbl 0766.90078
Hellstrand, Johan; Larsson, Torbjörn; Migdalas, Athanasios
1992
Convergent Lagrangian heuristics for nonlinear minimum cost network flows. Zbl 1148.90305
Larsson, Torbjörn; Marklund, Johan; Olsson, Caroline; Patriksson, Michael
2008
A note on relatives to the Held and Karp 1-tree problem. Zbl 1113.90165
Westerlund, Andreas; Göthe-Lundgren, Maud; Larsson, Torbjörn
2006
On scaling linear programs - some experimental results. Zbl 0818.90069
1993
Most likely traffic equilibrium route flows analysis and computation. Zbl 0990.90016
Larsson, T.; Lundgren, J. T.; Rydergren, C.; Patriksson, M.
2001
Applications of simplicial decomposition with nonlinear column generation to nonlinear network flows. Zbl 1126.90308
Larsson, Torbjörn; Patriksson, Michael; Rydergren, Clas
1997
Ergodic results in subgradient optimization. Zbl 1052.90629
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1996
The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation. Zbl 1406.90020
Zhao, Yixin; Larsson, Torbjörn; Rönnberg, Elina; Pardalos, Panos M.
2018
Ergodic, primal convergence in dual subgradient schemes for convex programming. II: The case of inconsistent primal problems. Zbl 1383.90025
Önnheim, Magnus; Gustavsson, Emil; Strömberg, Ann-Brith; Patriksson, Michael; Larsson, Torbjörn
2017
Ergodic convergence in subgradient optimization with application to simplical decomposition of convex programs. Zbl 1275.90058
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
2012
A comparison of feasible direction methods for the stochastic transportation problem. Zbl 1200.90133
Daneva, Maria; Larsson, Torbjörn; Patriksson, Michael; Rydergren, Clas
2010
On side constrained models of traffic equilibria. Zbl 0849.90115
1995
A note on step-size restrictions in approximation procedures for structural optimization. Zbl 0731.73049
1990
The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation. Zbl 1406.90020
Zhao, Yixin; Larsson, Torbjörn; Rönnberg, Elina; Pardalos, Panos M.
2018
Ergodic, primal convergence in dual subgradient schemes for convex programming. II: The case of inconsistent primal problems. Zbl 1383.90025
Önnheim, Magnus; Gustavsson, Emil; Strömberg, Ann-Brith; Patriksson, Michael; Larsson, Torbjörn
2017
All-integer column generation for set partitioning: basic principles and extensions. Zbl 1339.90241
2014
Ergodic convergence in subgradient optimization with application to simplical decomposition of convex programs. Zbl 1275.90058
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
2012
A comparison of feasible direction methods for the stochastic transportation problem. Zbl 1200.90133
Daneva, Maria; Larsson, Torbjörn; Patriksson, Michael; Rydergren, Clas
2010
Column generation in the integral simplex method. Zbl 1180.90202
2009
Convergent Lagrangian heuristics for nonlinear minimum cost network flows. Zbl 1148.90305
Larsson, Torbjörn; Marklund, Johan; Olsson, Caroline; Patriksson, Michael
2008
Lagrangian relaxation via ballstep subgradient methods. Zbl 1341.90100
Kiwiel, Krzysztof C.; Larsson, Torbjörn; Lindberg, P. O.
2007
A stabilized column generation scheme for the traveling salesman subtour problem. Zbl 1111.90097
Westerlund, Andreas; Göthe-Lundgren, Maud; Larsson, Torbjörn
2006
Global optimality conditions for discrete and nonconvex optimization–with applications to Lagrangian heuristics and column generation. Zbl 1167.90633
2006
A note on relatives to the Held and Karp 1-tree problem. Zbl 1113.90165
Westerlund, Andreas; Göthe-Lundgren, Maud; Larsson, Torbjörn
2006
An augmented Lagrangian algorithm for large scale multicommodity routing. Zbl 1044.90010
2004
On the convergence of conditional $$\varepsilon$$-subgradient methods for convex programs and convex-concave saddle-point problems. Zbl 1053.90107
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
2003
On traffic equilibrium models with a nonlinear time/money relation. Zbl 1175.90099
Larsson, Torbjörn; Lindberg, Per Olov; Patriksson, Michael; Rydergren, Clas
2002
Most likely traffic equilibrium route flows analysis and computation. Zbl 0990.90016
Larsson, T.; Lundgren, J. T.; Rydergren, C.; Patriksson, M.
2001
Ergodic, primal convergence in dual subgradient schemes for convex programming. Zbl 0946.90059
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1999
The efficiency of ballstep subgradient level methods for convex optimization. Zbl 0977.90036
Kiwiel, Krzysztof C.; Larsson, Torbjörn; Lindberg, P. O.
1999
Ergodic convergence in subgradient optimization. Zbl 0904.90131
Larsson, T.; Patriksson, M.; Strömberg, A.-B.
1998
Side constrained traffic equilibrium models – traffic management through link tolls. Zbl 1067.90509
1998
A Lagrangean relaxation scheme for structured linear programs with application to multicommodity network flows. Zbl 0880.90101
1997
A dual scheme for traffic assignment problems. Zbl 0893.90055
Larsson, Torbjörn; Liu, Zhuangwei; Patriksson, Michael
1997
Applications of simplicial decomposition with nonlinear column generation to nonlinear network flows. Zbl 1126.90308
Larsson, Torbjörn; Patriksson, Michael; Rydergren, Clas
1997
Conditional subgradient optimization – theory and applications. Zbl 0913.90225
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1996
Ergodic results in subgradient optimization. Zbl 1052.90629
Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith
1996
Sequential quadratic programming for nonlinear elastic contact problems. Zbl 0851.73077
Björkman, Gunnar; Klarbring, Anders; Sjödin, Björn; Larsson, Torbjörn; Rönnqvist, Mikael
1995
On side constrained models of traffic equilibria. Zbl 0849.90115
1995
A class of gap functions for variational inequalities. Zbl 0819.65101
1994
Equilibrium characterizations of solutions to side constrained asymmetric traffic assignment models. Zbl 0839.90051
1994
A Lagrangean heuristic for the capacitated concave minimum cost network flow problem. Zbl 0812.90046
Larsson, Torbjörn; Migdalas, Athanasios; Rönnqvist, Mikael
1994
A set covering reformulation of the pure fixed charge transportation problem. Zbl 0799.90094
1994
A partial linearization method for the traffic assignment problem. Zbl 0818.90046
Larsson, T.; Migdalas, A.; Patriksson, M.
1993
On scaling linear programs - some experimental results. Zbl 0818.90069
1993
Simplicial decomposition with disaggregated representation for the traffic assignment problem. Zbl 0764.90033
1992
A characterization of the uncapacitated network design polytope. Zbl 0766.90078
Hellstrand, Johan; Larsson, Torbjörn; Migdalas, Athanasios
1992
A Benders decomposition based heuristic for the hierarchical production planning problem. Zbl 0692.90057
1990
An algorithm for nonlinear programs over Cartesian product sets. Zbl 0726.90069
1990
A note on step-size restrictions in approximation procedures for structural optimization. Zbl 0731.73049
1990
all top 5

#### Cited by 415 Authors

 21 Patriksson, Michael 16 Larsson, Torbjörn 9 Chen, Anthony 7 Elhallaoui, Issmail 6 Noor, Muhammad Aslam 6 Soumis, François 5 Hu, Yaohua 5 Rönnberg, Elina 4 Lemaréchal, Claude 4 Migdalas, Athanasios 4 Pappalardo, Massimo 4 Sherali, Hanif D. 4 Strömberg, Ann-Brith 4 Yang, Xiaoqi 3 Crainic, Teodor Gabriel 3 Frangioni, Antonio 3 Galligari, Alessandro 3 Gamst, Mette 3 Gao, Ziyou 3 Kiwiel, Krysztof C. 3 Marcotte, Patrice 3 Marín, Ángel G. 3 Mastroeni, Giandomenico 3 Passacantando, Mauro 3 Raith, Andrea 3 Rosat, Samuel 3 Sciandrone, Marco 3 Shanbhag, Uday V. 3 Xu, Meng 3 Yu, Carisa Kwok Wai 3 Zaghrouti, Abdelouahab 2 Altman, Eitan 2 Barceló, Jaume 2 Barrera, Jorge 2 Bello Cruz, Jose Yunier 2 Bonettini, Silvia 2 Choi, Keechoo 2 Cominetti, Roberto 2 Ehrgott, Matthias 2 Garcia, Alfredo Daniel 2 García, Ricardo 2 Gendron, Bernard 2 Göthe-Lundgren, Maud 2 Gustavsson, Emil 2 Holmberg, Kaj 2 Huang, Haijun 2 Huang, Nan-Jing 2 Lawphongpanich, Siriphong 2 Lee, Der-Horng 2 Lim, Churlzu 2 Liu, Hongwei 2 Liu, Zhuangwei 2 Lorena, Luiz Antonio Nogueira 2 Lorenz, Dirk Alfred 2 Montero, Lídia 2 Narciso, Marcelo Gonçalves 2 Nedić, Angelia 2 Ozdaglar, Asuman E. 2 Perederieieva, Olga 2 Pfetsch, Marc E. 2 Pisinger, David 2 Ruggiero, Valeria 2 Rydergren, Clas 2 Ryu, Seungkyu 2 Savard, Gilles 2 Schulz, Andreas S. 2 Sim, Chee-Khian 2 Smith, J. Cole 2 Stier-Moses, Nicolás E. 2 Sun, Min 2 Tillmann, Andreas M. 2 Waller, Steven Travis 2 Wang, Judith Y. T. 2 Westerlund, Andreas 2 Wynter, Laura 2 Xu, Xiangdong 2 Yan, Shangyao 2 Zhao, Yixin 2 Zheng, Xiuyun 2 Zhou, Zhong 2 Zhu, Daoli 1 Aashtiani, Hedayat Z. 1 Ablanedo-Rosas, José Humberto 1 Acemoglu, Daron 1 Altangerel, Lkhamsuren 1 Álvarez-Miranda, Eduardo 1 Anbil, Ranga 1 Anstreicher, Kurt M. 1 Arkin, Esther M. 1 Averbakh, Igor 1 Babazadeh, Abbas 1 Babonneau, Frédéric 1 Bai, Lihui 1 Baillon, Jean-Bernard 1 Barahona, Francisco 1 Bean, James C. 1 Bektas, Tolga 1 Beltrán, Carlos 1 Ben-Tal, Aharon 1 Benfenati, Alessandro ...and 315 more Authors
all top 5

#### Cited in 65 Serials

 43 European Journal of Operational Research 17 Journal of Optimization Theory and Applications 14 Mathematical Programming. Series A. Series B 10 Optimization 10 Computers & Operations Research 9 Computational Optimization and Applications 8 Annals of Operations Research 7 Discrete Applied Mathematics 7 Applied Mathematics and Computation 7 Operations Research Letters 6 Optimization Methods & Software 5 Networks 5 Journal of Global Optimization 5 Optimization Letters 4 Operations Research 4 Applied Mathematical Modelling 4 Mathematical Problems in Engineering 4 Networks and Spatial Economics 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Optimization 3 Top 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical and Computer Modelling 2 Games and Economic Behavior 2 International Journal of Computer Mathematics 2 INFORMS Journal on Computing 2 Mathematical Methods of Operations Research 2 Optimization and Engineering 2 Journal of Applied Mathematics and Computing 2 Discrete Optimization 2 Journal of Industrial and Management Optimization 2 Mathematical Programming Computation 1 International Journal of Engineering Science 1 ACM Transactions on Mathematical Software 1 Fuzzy Sets and Systems 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 OR Spektrum 1 International Journal of Production Research 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Neural Computation 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 International Journal of Applied Mathematics and Computer Science 1 RAIRO. Operations Research 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 4OR 1 Advances in Data Analysis and Classification. ADAC 1 Operational Research. An International Journal 1 Set-Valued and Variational Analysis 1 Science China. Technological Sciences 1 Dynamic Games and Applications 1 EURO Journal on Computational Optimization 1 Journal of Dynamics and Games
all top 5

#### Cited in 13 Fields

 209 Operations research, mathematical programming (90-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 26 Numerical analysis (65-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Computer science (68-XX) 7 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Biology and other natural sciences (92-XX)