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Turku Optimization Group (TOpGroup)

The mathematical and computational tools in optimization are used more frequently these days, as they provide efficient tools with negligible costs for many industries in the race for greater profits and better efficiency. The optimization group does research in both modeling and implementation of practical problems from industry and further development of algorithms. The following areas of optimization are at focus:

• Theory
  • nonsmooth analysis
  • generalized convexity
  • optimality conditions
  • multiobjective optimization
  • combinatorial optimization
  • parametrization and regularization
  • sensitivity analysis
• Methods
  • mixed-integer nonlinear programming
  • robust optimization
  • scheduling and resource allocation
  • heuristics and evolutionary optimization
  • derivative free optimization
  • multicriteria decision-making
  • global optimization
• Applications
  • transport networks and logistics
  • maritime routing and flight scheduling
  • meteorology and climate analysis
  • chemical engineering
  • electronic industry and circuit design

Research Unit Web Page: http://www.math.utu.fi/en/research/groups/opt/

Leader of the unit

Marko M. Mäkelä

Senior Researchers

Yury Nikulin Napsu Karmitsa Stefan Emet

Projects 

Large Scale Mixed Integer Global Optimization

With Åbo Akademi University

Modeling the Ferry Services of the Archipelago

With the Centre for Maritime Studies

Publications 

Click here to see the full list of publications from the TUCS Publication Database

The latest updated publications:

Nikulin Yury, Karelkina Olga , Mäkelä Marko, On Accuracy, Robustness and Tolerances in Vector Boolean Optimization. European Journal of Operational Research 224, 449–457, 2013.

Vladimir Emelichev, Vladimir Korotkov, Yury Nikulin, Stability Analysis of One Portfolio in Multicriteria Markowitz's Investment Problem with Savage's Risk Criteria Endowed with Hölder Metric. TUCS Technical Reports 1077, TUCS, 2013.

Yury Nikulin, Quality of Solutions in Combinatorial Optimization Models Involving Substitutions. TUCS Technical Reports 1064, TUCS, 2013.

Seppo Pulkkinen, Incremental Low-Rank SDP Approach to Finding Graph Embeddings. TUCS Technical Reports 1069, TUCS, 2013.

Vladimir Emelichev, Volha Karelkina, Postoptimal Analysis of the Multicriteria Combinatorial Median Location Problem. OPTIMIZATION 61(9), 1151–1167, 2012.

Emelichev Vladimir, Karelkina Olga, Kuzmin Kirill, Qualitative Stability Analysis of Multicriteria Combinatorial Minimin Problems. CONTROL AND CYBERNETICS 1, 57–79, 2012.

Marko Mäkelä, Yury Nikulin, Jozsef Mezei, A Note on Extended Characterization of Generalized Trade-Off Directions in Multiobjective Optimization . Journal of Convex Analysis 19, 91–111, 2012.

Mäkelä Marko, Nikulin Yury, Mezei Joszef, Generalizing Trade-Off Directions in Multiobjective Optimization. CONTROL AND CYBERNETICS 3, 561–576 , 2012.

Marko Mäkelä, Yury Nikulin, Jozsef Mezei, Generalizing Trade-Off Directions in Multiobjective Optimization. Control and Cybernetics 3, 561 – 576, 2012.

Yury Nikulin, Zuhair Iftikhar, A Note on Different Modelling Approaches for the Robust Shortest Path Problem. International Journal of Mathematical Modelling and Numerical Optimisation 3(3), 141–157, 2012.

Yury Nikulin, Kaisa Miettinen, Marko Mäkelä, A New Achievement Scalarizing Function Based on Parameterization in Multiobjective Optimization. OR Spectrum 34, 69–87, 2012.

Vladimir Emelichev, Vladimir Korotkov, Yury Nikulin, On a Multicriteria Investment Problem with Wald's Maximin Criteria – Stability Analysis of Pareto-Optimal Portfolio in the Hölder Metric. TUCS Technical Reports 1050, TUCS, 2012.

Ville-Pekka Eronen, Marko M. Mäkelä, Tapio Westerlund, Nonsmooth Extended Cutting Plane Method for Generally Convex MINLP Problems. TUCS Technical Reports 1055, TUCS, 2012.

Sami Hokuni, Kaisa Joki, Sari Yli-Sipilä, Marko M. Mäkelä, Yury Nikulin, Minimum Spanning Tree Problem with Fuzzy Intervals. TUCS Technical Reports 1048, TUCS, 2012.

Olga Karelkina, An Interactive Approach to Solve Multicriteria Median Location Problem. TUCS Technical Reports 1053, TUCS, 2012.

Marko M. Mäkelä, Ville-Pekka Eronen, Napsu Karmitsa, On Nonsmooth Optimality Conditions with Generalized Convexities. TUCS Technical Reports 1056, TUCS, 2012.

Seppo Pulkkinen, Marko M. Mäkelä, Napsu Karmitsa, Integral Transformation for Box-Constrained Global Optimization of Decomposable Functions. TUCS Technical Reports 1036, Turku Centre for Computer Science, 2012.

Seppo Pulkkinen, Marko M. Mäkelä, Napsu Karmitsa, A Generalized Trust Region Newton Method Applied to Noise Reduction. TUCS Technical Reports 1061, TUCS, 2012.