Michael Patriksson, professor in applied mathematics

Michael Patriksson
Matematik
mipat at chalmers dot se
+46 31 772 35 29

Postadress/postal address: Matematiska vetenskaper, Chalmers tekniska högskola och Göteborgs universitet, SE-412 96 Göteborg, Sweden
Besöksadress/visiting address: Chalmers tvärgata 3, rum L2084

Publikationer 2012

Larsson, Torbjörn; Patriksson, Michael; Strömberg, Ann-Brith: Ergodic convergence in subgradient optimization - with application to simplicial decomposition of convex programs. Contemporary Mathematics, CONM 568 pp. 159-186.

Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The stochastic opportunistic replacement problem, part I: models incorporating individual component lives. Annals of Operations Research, pp. antal sidor: 26.

Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The stochastic opportunistic replacement problem, part II: a two-stage solution approach. Annals of Operations Research, pp. antal sidor: 25.

Thörnblad, Karin; Strömberg, Ann-Brith; Patriksson, Michael; Almgren, Torgny: A Time-indexed Formulation of a Flexible Job Shop Problem with a Limited Number of Fixtures. Proceedings of 13th International Conference on Project Management and Scheduling in Leuven, Belgium, April 2012, pp. 335-338. ISBN/ISSN: 9789081409940

2011

Almgren, Torgny; Andréasson, Niclas; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The opportunistic replacement problem: analysis and case studies.

Besnard, François; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam; Fischer, Katharina; Bertling, Lina: A stochastic model for opportunistic maintenance planning of offshore wind farms. 2011 IEEE PES Trondheim PowerTech: The Power of Technology for a Sustainable Society, POWERTECH 2011; Trondheim; 19 June 2011 through 23 June 2011, ISBN/ISSN: 978-142448419-5

Cromvik, Christoffer; Lindroth, Peter; Patriksson, Michael; Strömberg, Ann-Brith: A new robustness index for multi-objective optimization based on a user perspective.

Garcia-Rodenas, R.; Marin, A.; Patriksson, Michael: Column generation algorithms for nonlinear optimization, II: Numerical investigations. Computers & Operations Research, 38 (3) pp. 591-604.

Lindroth, Peter; Patriksson, Michael; Strömberg, Ann-Brith: Multi-objective design of a combinatorial structure.

Lindroth, Peter; Patriksson, Michael: Pure categorical optimization - a global descent approach.

Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The opportunistic replacement problem with individual component lives.

Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The stochastic opportunistic replacement problem: A two-stage solution approach.

Strömberg, Ann-Brith; Patriksson, Michael: Discrete optimization at Mathematical Sciences, Chalmers and University of Gothenburg: Modeling and solving real-world problems. ORbit medlemsblad for Dansk Selskab for Operationsanalyse og Svenska Operationsanalysföreningen, (#18) pp. 12-18.

Svensson, Elin; Strömberg, Ann-Brith; Patriksson, Michael: A model for optimization of process integration investments under uncertainty. Energy, 36 (5) pp. 2733-2746.

Thörnblad, Karin; Patriksson, Michael: A note on the complexity of flow-shop scheduling with deteriorating jobs. Discrete Applied Mathematics, 159 (4) pp. 251-253.

Thörnblad, Karin; Patriksson, Michael; Strömberg, Ann-Brith; Almgren, Torgny: Mathematical modelling of a real flexible job shop in aero engine component manufacturing. Proceedings of 10th Workshop on Models and Algorithms for Planning and Scheduling Problems, June 2011, Nymburk, Czech Republic,

Thörnblad, Karin; Almgren, Torgny; Strömberg, Ann-Brith; Patriksson, Michael: Optimering av scheman för en verklig produktionscell: tidsdiskretisering reducerar lösningstiden utan att lösningarnas kvalitet försämras. PLANs forsknings- och tillämpningskonferens, 31 aug-1 sep 2011, Norrköping, Sverige,

2010

Cromvik, Christoffer; Patriksson, Michael: On the robustness of global optima and stationary solutions to stochastic mathematical programs with equilibrium constraints, Part II: Applications. Journal of Optimization Theory and Applications, 144 (3) pp. 479-500.

Daneva, Maria; Larsson, Torbjörn; Patriksson, Michael; Rydergren, Clas: A comparison of feasible direction methods for the stochastic transportation problem. Computational Optimization and Applications, 46 (3) pp. 451-466 .

Jakobsson, S; Saif-Ul-Hasnain, M; Rundqvist, Robert; Edelvik, Fredrik; Andersson, Björn; Patriksson, Michael; Ljungqvist, M; Lortet, D; Wallesten, K: Combustion engine optimization: A multiobjective approach. Optimization & Engineering, 11 (4) pp. 533-554.

Jakobsson, Stefan; Patriksson, Michael; Rudholm, Johan; Wojciechowski, Adam: A method for simulation based optimization using radial basis functions. Optimization & Engineering, 11 (4) pp. 501-532.

Lindroth, Peter; Patriksson, Michael; Strömberg, Ann-Brith: Approximating the Pareto Optimal Set using a Reduced Set of Objective Functions. European Journal of Operational Research, 207 (3) pp. 1519-1534.

Nilsson, J.; Wojciechowski, Adam; Strömberg, Ann-Brith; Patriksson, Michael; Bertling, Lina: An evaluation approach for opportunistic maintenance optimization models for nuclear power plants. IEEE PES General Meeting, PES 2010, ISBN/ISSN: 978-142448357-0

Patriksson, Michael: Editorial. Optimization & Engineering, 11 (4) pp. 497-499.

Patriksson, Michael; Cromvik, Christoffer: On the robustness of global optima and stationary solutions to stochastic mathematical programs with equilibrium constraints, Part 1: Theory . Journal of Optimization Theory and Applications, 144 (3) pp. 461-478.

Thörnblad, Karin; Strömberg, Ann-Brith; Almgren, Torgny; Patriksson, Michael: Optimization of schedules for a multitask production cell. Proceedings of The 22nd NOFOMA Conference in Kolding, Denmark, 10-11th of June 2010,

2009

Almgren, Torgny; Andréasson, Niclas; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The replacement problem: A polyhedral and complexity analysis.

Almgren, Torgny; Andréasson, Niclas; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam: The replacement problem: A polyhedral and complexity analysis. The complete version.

Besnard, François; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam; Bertling, Lina: An optimization framework for opportunistic maintenance of offshore wind power system. In Proceedings of IEEE PowerTech 2009 conference, 28 June - 2 July 2009 Bucharest, Romania,

Nilsson, Julia; Patriksson, Michael; Strömberg, Ann-Brith; Wojciechowski, Adam; Bertling, Lina: An opportunistic maintenance optimization model for shaft seals in feed-water pump systems in nuclear power plants. Proceedings of IEEE PowerTech 2009 conference, 28 June - 2 July 2009, Bucharest, Romania,

Patriksson, Michael; Cromvik, Christoffer: On the robustness of global optima and stationary solutions to stochastic mathematical programs with equilibrium constraints, Part II: Applications. Journal of Optimization Theory and Applications ,

Svensson, Elin; Berntsson, Thore; Strömberg, Ann-Brith; Patriksson, Michael: An optimization methodology for identifying robust process integration investments under uncertainty. Energy Policy, 37 (2) pp. 680-685.

2008

Almgren, Torgny; Andréasson, Niclas; Anevski, Dragi; Patriksson, Michael; Strömberg, Ann-Brith; Svensson, Johan: Optimization of opportunistic replacement activities: A case study in the aircraft industry .

Larsson, Torbjörn; Marklund, Johan; Olsson, Caroline; Patriksson, Michael: Convergent Lagrangian heuristics for nonlinear minimum cost network flows. European Journal of Operational Research, 189 (2) pp. 324-346.

Patriksson, Michael: A survey on the continuous nonlinear resource allocation problem. European Journal of Operational Research, 185 (1) pp. 1-46.

Patriksson, Michael: On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints. Transportation Research Part B, 42 (10) pp. 843-860.

Patriksson, Michael: Robust bilevel optimization models in transportation science. Philosophical Transactions of the Royal Society, A, 366 (1872) pp. 1989-2004.

Svensson, Elin; Strömberg, Ann-Brith; Patriksson, Michael: A Scenario-Based Stochastic Programming Model for the Optimization of Process Integration Opportunities in a Pulp Mill.

2007

Josefsson, Magnus; Patriksson, Michael: Sensitivity analysis of separable traffic equilibria, with application to bilevel optimization in network design. Transportation Research B, 41 (1) pp. 4--31.

Patriksson, Michael: A survey on the continuous nonlinear resource allocation problem. European Journal of Operational Research, 185 (1) pp. 1-46.

Patriksson, Michael: On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of solutions to SMPEC models.

Patriksson, Michael; Almgren, Torgny; Andreasson, Niclas; Anevski, Dragi; Strömberg, Ann-Brith; Svensson, Johan: Optimization of opportunistic replacement activities: A case study in the aircraft industry.

Patriksson, Michael; Marcotte, Patrice: Traffic Equilibrium. Handbooks in Operations Research and Management Science,

2006

Larsson, Torbjörn; Migdalas, Athanasios; Patriksson, Michael: A generic column generation scheme. Göteborg : Chalmers University of Technology.

Patriksson, Michael: A survey on the continuous nonlinear resource allocation problem. Göteborg : Chalmers University of Technology.

Patriksson, Michael; Larsson, Torbjörn: Early primal recovery in Lagrangian dual schemes for nonlinear minimum cost network flows. Göteborg : Chalmers University of Technology.

Patriksson, Michael; Larsson, Torbjörn: Global optimality conditions for discrete and nonconvex optimization - with applications to Lagrangian heuristics and column generation. Operations Research, 54 (3) pp. 436--453.

2005

Patriksson, Michael: A Survey on a Classic Core Problem in Operations Research.

Patriksson, Michael; Andreasson, Niclas; Evgrafov, Anton: Introduction to Continuous Optimization. ISBN/ISSN: 9789144044552

Patriksson, Michael; Evgrafov, Anton: On the convergence of stationary sequences in topology optimization. International Journal of Numerical Methods in Engineering, 64 (1) pp. 17-44.

2004

Evgrafov, Anton; Patriksson, Michael: On the convergence of stationary sequences in topoloy optimization.

Patriksson, Michael; Larsson, Torbjörn; Rydergren, Clas: A column generation procedure for the side constrained traffic equilibrium problem. Transportation Research, Part B, 38 (1) pp. 17-38.

Patriksson, Michael: Algorithms for computing traffic equilibria. Networks & Spatial Economics, 4 (1) pp. 23-38.

Patriksson, Michael; Lundgren, Jan; Larsson, Torbjörn; Rydergren, Clas: Numerical experiments with a decision support system methodology for strategic traffic management. Urban and Regional Transportation Modeling: Essays in Honor of David Boyce, pp. 337-364. ISBN/ISSN: 1843763060

Patriksson, Michael; Evgrafov, Anton: On the existence of solutions to stochastic mathematical programs with equilibrium constraints. Journal of Optimization Theory and Applications, 121 (1) pp. 65-76.

Patriksson, Michael: Sensitivity analysis of traffic equilibria. Transportation Science, 38 (3) pp. 258-281.

2003

Larsson, Torbjörn; Patriksson, Michael: Global optimality conditions for discrete and nonconvex optimization -- with applications to Lagrangian heuristics and column generation.

Patriksson, Michael; Marin, Angel; Garcia, Ricardo: A class of column generation/simplicial decomposition methods in convex differentiable optimization, I: Convergence analysis. Optimization, 52 (2) pp. 171-200.

Patriksson, Michael; Strömberg, Ann-Brith; Larsson, Torbjörn: On the convergence of conditional epsilon-subgradient methods for convex programs and convex-concave saddle-point problems. European Journal of Operational Research, 151 (3) pp. 461-473.

Patriksson, Michael; Rockafellar, R Tyrrell: Sensitivity analysis of variational inequalities over aggregated polyhedra, with application to traffic equilibria. Transportation Science, 37 (1) pp. 56-68.

Patriksson, Michael; Evgrafov, Anton: Stable relaxations of stochastic stress constrained weight minimization problems. Structural and Multidisciplinary Optimization, 25 (3) pp. 189-198.

Patriksson, Michael; Evgrafov, Anton: Stochastic structural topology optimization: Discretization and penalty function approach. Structural and Multidisciplinary Optimization, 25 (3) pp. 174-188.

Patriksson, Michael; Evgrafov, Anton; Petersson, Joakim: Stochastic structural topology optimization: Existence of solutions and sensitivity analyses. ZAMM (Zeitschrift f¨ur Angewandte Mathematik und Mechanik), 83 (7) pp. 479-492.

Patriksson, Michael; Rockafellar, R Tyrrell: Variational geometry and equilibrium. Equilibrium Problems and Variational Models, pp. 347-368. ISBN/ISSN: 9781402074707

2002

Patriksson, Michael; Rockafellar, R Tyrrell: A bilevel optimization model and descent algorithm for traffic management. Transportation Science, 36 (3) pp. 271-291.

Patriksson, Michael; Rydergren, Clas; Larsson, Torbjörn; Lundgren, Jan: A decision support methodology for strategic traffic management. Transportation and Network Analysis: Current Trends, pp. 147-164. ISBN/ISSN: 978-1-4020-0488-9

Patriksson, Michael; Petersson, Joakim: Existence and continuity of optimal solutions to some structural topology optimization problems including unilateral constraints and stochastic loads. ZAMM (Zeitschrift fur Angewandte Mathematik und Mechanik), 82 (7) pp. 435-459.

Patriksson, Michael; Evgrafov, Anton; Petersson, Joakim: On stochastic structural topology optimization. Nonsmooth/Nonconvex Mechanics: With Applications in Engineering, Proceedings of the International Conference in memory of Professor P. D. Panagiotopoulos, 5-6 July 2002, Thessaloniki, Greece, pp. 97-104.

Patriksson, Michael; Rydergren, Clas; Larsson, Torbjörn; Lundgren, Jan; Lindberg, Per-Olof: On traffic equilibrium models with a nonlinear time/money relation. Transportation Planning: State of the Art, pp. 19-31. ISBN/ISSN: 9781402005466

2001

Patriksson, Michael; Garcia, Ricardo; Marin, Angel: Network equilibrium models: A class of column generation/simplicial decomposition algorithms. Preprints of TRISTAN IV, pp. 119-124.

Patriksson, Michael; Larsson, Torbjörn; Rydergren, Clas; Lundgren, Jan: A decision support methodology for strategic traffic management. Preprints of TRISTAN IV, pp. 75-79.

Patriksson, Michael; , ; Lundgren, Jan; Rydergren, Clas: Most likely traffic equilbrium route flows: Analysis and computation. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, pp. 129-159. ISBN/ISSN: 978-1-4020-0161-1

Patriksson, Michael; Rockafellar, R Tyrrell: Sensitivity analysis of traffic equilibria revisited. Preprints of TRISTAN IV, pp. 189-194.

Patriksson, Michael; Wynter, Laura; Christiansen, Snorre: Stochastic bilevel programming in structural optimization. Structural and Multidisciplinary Optimization, 21 (5) pp. 361-371.

2000

Patriksson, Michael: A new merit function and an SQP method for non-strictly monotone variational inequalities. Nonlinear Optimization and Related Topics, pp. 257-276. ISBN/ISSN: 978-0-7923-6109-1

Patriksson, Michael; Petersson, Joakim: Existence and continuity of optimal solutions to some structural topology optimization problems including unilateral constraints and stochastic loads.

1999

Patriksson, Michael; Strömberg, Ann-Brith; Larsson, Torbjörn: Ergodic, primal convergence in dual subgradient schemes for convex programming. Mathematical Programming, 86 (2) pp. 283-312.

Patriksson, Michael: Nonlinear Programming and Variational Inequality Problems: A Unified Approach. Dordrecht : Kluwer Academic Publishers. ISBN/ISSN: 0-7923-5455-9

Patriksson, Michael; Larsson, Torbjörn: Side constrained traffic equilibrium models: analysis, computation and applications. Transportation Research, Part B, 33 (4) pp. 233-264.

Patriksson, Michael; Wynter, Laura: Stochastic mathematical programs with equilibrium constraints. Operations Research Letters, 25 (4) pp. 159-167.

1998

Patriksson, Michael; Larsson, Torbjörn: Price-directive traffic management - Applications of side constrained traffic equilibrium models. Transportation Networks: Recent Methodological Advances, pp. 83-97. ISBN/ISSN: 978-0080430522

Patriksson, Michael; Lundgren, Jan: An algorithm for the combined distribution and assignment model. Transportation Networks: Recent Methodological Advances, pp. 239-253. ISBN/ISSN: 978-0080430522

Patriksson, Michael: Cost approximation algorithms with nonmonotone line searches for nonlinear programs. Optimization, 44 (3) pp. 199-217.

Patriksson, Michael: Cost approximation: A unified framework of descent algorithms for nonlinear programs. SIAM Journal on Optimization, 8 (2) pp. 561-582.

Patriksson, Michael: Decomposition methods for differentiable optimization problems on Cartesian product sets. Computational Optimization and Application, 9 (1) pp. 5-42.

Patriksson, Michael; Larsson, Torbjörn; Strömberg, Ann-Brith: Ergodic convergence in subgradient optimization. Optimization Methods and Software, 9 (1 & 3) pp. 93-120.

Patriksson, Michael; Lundgren, Jan: The combined distribution and stochastic assignment problem. Annals of Operations Research, 82 pp. 309-329.

1997

Patriksson, Michael; Larsson, Torbjörn; Liu, Z.-W.: A dual scheme for traffic assignment problems. Optimization, 42 (4) pp. 323-358.

Patriksson, Michael; Petersson, Joakim: A subgradient method for contact structural optimization. Complementarity and Variational Problems - State of the Art, pp. 295-314. ISBN/ISSN: 9780898713916

Patriksson, Michael; Rydergren, Clas; Larsson, Torbjörn: Applications of simplicial decomposition with nonlinear column generation to nonlinear network flows. Network Optimization, pp. 346-373. ISBN/ISSN: 978-3-540-62541-4

Patriksson, Michael: Merit functions and descent algorithms for a class of variational inequality problems. Optimization, 41 (1) pp. 37-55.

Patriksson, Michael; Petersson, Joakim: Topology optimization of sheets in contact by a subgradient method. International Journal of Numerical Methods in Engineering, 40 (7) pp. 1295-1321.

Patriksson, Michael; Larsson, Torbjörn: Traffic management through link tolls - An approach utilizing side constrained traffic equilibrium models. Rendiconti del Circolo Matematico di Palermo, Serie II, 48 pp. 147-170.

1996

Patriksson, Michael; Lundgren, Jan; Damberg, Olof: An algorithm for the stochastic user equilibrium problem . Transportation Research, Part B, 30 (2) pp. 115-131.

Patriksson, Michael; Strömberg, Ann-Brith; Larsson, Torbjörn: Conditional subgradient optimization - theory and applications. European Journal of Operational Research, 88 (2) pp. 382-403.

Patriksson, Michael; Strömberg, Ann-Brith; Larsson, Torbjörn: Ergodic results and bounds on the optimal value in subgradient optimization. Operations Research Proceedings 1995, pp. 30-35. ISBN/ISSN: 978-3540608066

Patriksson, Michael; Strömberg, Ann-Brith; Larsson, Torbjörn: Ergodic results in subgradient optimization. Nonlinear Optimization and Applications, pp. 229-248. ISBN/ISSN: 9780306453168

1995

Patriksson, Michael; Larsson, Torbjörn: An augmented Lagrangean dual algorithm for link capacity side constrained traffic assignment problems. Transportation Research, Part B, 29 (6) pp. 433-455.

Patriksson, Michael; Larsson, Torbjörn: On side constrained models of traffic equilibria. Variational Inequalities and Network Equilibrium Problems, pp. 169-178. ISBN/ISSN: 9780306450075

1994

Patriksson, Michael; Larsson, Torbjörn: A class of gap functions for variational inequalities. Mathematical Programming, A, 64 (1) pp. 53-79.

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Uppdaterad: 05 april 2011
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