Staff

Research Interests

• Blockchain technology
• DLT technologies
• Global optimization
• Bilevel Programming
• Algebraic Modeling Languages
• Optimization software
• Artificial Intelligence
• Internet of Things (IoT)
• Parallel and distributed computing
• Numerical methods 
• Statistical data analysis

Books

R. Paulavičius, J. Žilinskas (2014) Simplicial Global Optimization. SpringerBriefs in Optimization, ISSN 2190-8354, Springer, ISBN 978-1-4614-9092-0. doi:10.1007/978-1-4614-9093-7. [Abstracted/Indexed in Web of Science (Book Citation Index), SpringerLink, zbMATH, MathSciNet. Preview at Amazon.com, Google Books].

Scientific publications

List of Publications:

1. R. Paulavičius, S. Grigaitis, E. Filatovas (2021) A Systematic Review and Empirical Analysis of Blockchain Simulators. IEEE Access, 9, 38010-38028 DOI: 10.1109/ACCESS.2021.3063324.
2. R. Paulavičius, S. Grigaitis, and E. Filatovas (2021) An Overview and Current Status of Blockchain Simulators, in 2021 IEEE International Conference on Blockchain and Cryptocurrency (ICBC), 2021, pp. 1–3.
3. L. Stripinis, R. Paulavičius (2021) A modified DIRECT-GL algorithm for global optimization with hidden constraints. Optimization Letters. DOI: 10.1007/s11590-021-01726-z.
4. V. Jusevičius, R. Oberdieck, R. Paulavičius (2021) Experimental analysis of algebraic modeling languages for mathematical optimization. Informatica. DOI: 10.15388/21-INFOR447.
5. L. Stripinis, J. Žilinskas, L. G. Casado, R. Paulavičius (2021) On MATLAB experience in accelerating DIRECT-GLce algorithm for constrained global optimization through dynamic data structures and parallelization. Applied Mathematics and Computation, 10.1016/j.amc.2020.125596. 
6. R. Paulavičius, J. Gao, P.-M. Kleniati, C. S. Adjiman (2020). BASBL: Branch-And-Sandwich BiLevel solver. Implementation and computational study with the BASBLib test set. Computers & Chemical Engineering, 132, DOI: 10.1016/j.compchemeng.2019.106609.
7. R. Paulavičius, Y.D. Sergeyev, D.E. Kvasov, J. Žilinskas (2020) Globally-biased BIRECT algorithm with local accelerators for expensive global optimization. Expert Systems With Applications, 144, DOI: 10.1016/j.eswa.2019.113052.
8. R. Paulavičius, C.S. Adjiman (2020) New bounding schemes and algorithmic options for the Branch-and-Sandwich algorithm. Journal of Global Optimization, 77 (2), 197-225, DOI: 10.1007/s10898-020-00874-3.
9. R. Paulavičius, S. Grigaitis, A. Igumenov, E. Filatovas (2019) A Decade of Blockchain: Review of the Current Status, Challenges, and Future Directions. Informatica, 30 (4), 729-748, DOI: 10.15388/Informatica.2019.227
10. L. Stripinis, R. Paulavičius, J. Žilinskas (2019) Penalty functions and two-step selection procedure based DIRECT-type algorithm for constrained global optimization.  Structural and Multidisciplinary Optimization, ISSN 1615-1488,  DOI: 10.1007/s00158-018-2181-2
    
11. Qi Chen, R. Paulavičius, S. García‐Muñoz, C.S. Adjiman (2018) An Optimization Framework to Combine Operable Space Maximization with Design of Experiments. AIChE Journal, Online ISSN:1547-5905, 64 (11), 3944-3957, DOI: 10.1002/aic.16214
12. R. Paulavičius, L. Chiter, J. Žilinskas (2018) Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants. Journal of Global Optimization, ISSN 0925-5001, 71(1), 5-20. DOI: 10.1007/s10898-016-0485-6
13. L. Stripinis, R. Paulavičius, J. Žilinskas (2018) Improved scheme for selection of potentially optimal hyper-rectangles in DIRECT. Optimization Letters, ISSN 1862-4472, 12 (7), 1699-1712, DOI: 10.1007/s11590-017-1228-4
14. J. Mockus, R. Paulavičius, D. Rusakevičius, D. Šešok, J. Žilinskas (2018) Application of reduced-set Pareto-Lipschitzian optimization to truss optimization. Journal of Global Optimization, ISSN 0925-5001, 67(1), 425-450. DOI: 10.1007/s10898-015-0364-6 
15. R. Paulavičius, P.M. Kleniati, C. S. Adjiman (2016) Global optimization of nonconvex bilevel problems: implementation and computational study of the Branch-and-Sandwich algorithm. 26th European Symposium on Computer Aided Process Engineering (Escape), 38,1977-1982. DOI: 10.1016/B978-0-444-63428-3.50334-9
16. R. Paulavičius, J. Žilinskas (2016) Advantages of simplicial partitioning for Lipschitz optimization problems with linear constraints. Optimization Letters, ISSN 1862-4472, 10(2), 237-246. DOI: 10.1007/s11590-014-0772-4 
17. R. Paulavičius, Y.D. Sergeev, D.E. Kvasov, J. Žilinskas (2014) Globally-biased DISIMPL algorithm for expensive global optimization. Journal of Global Optimization, ISSN 0925-5001, 59(2-3), 545-567. DOI: 10.1007/s10898-014-0180-4 
18. R. Paulavičius, J. Žilinskas (2014) Simplicial Lipschitz optimization without the Lipschitz constant. Journal of Global Optimization, ISSN 0925-5001, 59(1), 23-40. DOI: 10.1007/s10898-013-0089-3
19. Ю. Жилинскас, Д.Е. Квасов, Р. Паулавичюс, Я.Д. Сергеев (2013) Ускорение симплексных методов липшицевой глобальной оптимизации. Высокопроизводительные парраллельные вычисления на кластерных системах : материалы 13-ой всероссийской конференции. Нижний Новгород : Изд-во Нижегородского госуниверситета, ISBN 9785913263049. 128-133.
20. J.F.R. Herrera, L.G. Casado, E.M.T. Hendrix, R. Paulavičius, J. Žilinskas (2013) Dynamic and hierarchical load-balancing techniques applied to parallel branch-and-bound methods. In: Eighth International Conference on P2P, Parallel, Grid, Cloud and Internet Computing (3PGCIC), ISBN 978-0-7695-5094-7, 497-502. DOI: 10.1109/3PGCIC.2013.85
21. R. Paulavičius, J. Žilinskas, J.F.R. Herrera, L.G. Casado (2013) A parallel DISIMPL for pile placement optimization in grillage-type foundations. In: Eighth International Conference on P2P, Parallel, Grid, Cloud and Internet Computing (3PGCIC), ISBN 978-0-7695-5094-7, 525-530. DOI: 10.1109/3PGCIC.2013.90 
22. J.F.R. Herrera, L.G. Casado, R. Paulavičius, J. Žilinskas, E.M.T. Hendrix (2013) On a hybrid MPI-Pthread approach for simplicial branch-and-bound. In: IEEE 27th International Parallel and Distributed Processing Symposium Workshops & PhD Forum (IPDPSW), ISBN 978-0-7695-4979-8, 1764-1770. DOI: 10.1109/IPDPSW.2013.178 
23. J. Mockus, R. Paulavičius (2013) On the reduced-set Pareto-Lipschitzian optimization. Computational Science and Techniques 1 (2), 196-204. 
24. R. Paulavičius, J. Žilinskas (2012) Influence of Lipschitz bounds on the speed of global optimization. Technological and Economic Development of Economy, ISSN 2029-4913, 18(1), 54-66. DOI: 10.3846/20294913.2012.661170 
25. R. Paulavičius, J. Žilinskas, A. Grothey (2011) Parallel branch and bound for global optimization with combination of Lipschitz bounds. Optimization Methods & Software, ISSN 1055-6788, 26(3), 487-498. DOI: 10.1080/10556788.2010.551537
26. R. Paulavičius, J. Žilinskas, A. Grothey (2010) Investigation of selection strategies in parallel branch and bound algorithm with simplicial partitions. In: 2010 IEEE International Conference on Cluster Computing Workshops and Posters (CLUSTER WORKSHOPS), Heraklion, Crete, Greece, September 20-24, 2010, ISBN: 978-1-4244-8395-2. DOI: 10.1109/CLUSTERWKSP.2010.5613103 
27. R. Paulavičius, J. Žilinskas, A. Grothey (2010) Investigation of selection strategies in branch and bound algorithm with simplicial partitions and combination of Lipschitz bounds. Optimization Letters, ISSN 1862-4472, 4(2), 173-183. DOI: 10.1007/s11590-009-0156-3
28. R. Paulavičius, J. Žilinskas (2009) Global optimization using the branch-and-bound algorithm with a combination of Lipschitz bounds over simplices. Technological and Economic Development of Economy, ISSN 1392-8619, 15(2), 310-325. DOI: 10.3846/1392-8619.2009.15.310-325 
29. R. Paulavičius, J. Žilinskas (2009) Parallel branch and bound algorithm with combination of Lipschitz bounds over multidimensional simplices for multicore computers. In: R. Čiegis, D. Henty, B. Kågström, J. Žilinskas (Eds.), Parallel Scientific Computing and Optimization. Vol. 27 of Springer Optimization and Its Applications, Springer, ISSN 1931-6828, 93-102. DOI: 10.1007/978-0-387-09707-7_8 
30. R. Paulavičius, J. Žilinskas (2008) Improved Lipschitz bounds with the first norm for function values over multidimensional simplex. Mathematical Modelling and Analysis, ISSN 1392-6292, 13(4), 553-563. DOI: 10.3846/1392-6292.2008.13.553-563
31. R. Paulavičius, J. Žilinskas (2008) Branch and bound with simplicial partitions and combination of Lipschitz bounds for global optimization. In: L. Sakalauskas, G.W. Weber, E.K. Zavadskas (Eds.), The 20th International Conference EURO Mini Conference Continuous Optimization and Knowledge-Based Technologies (EurOPT-2008), May 20-23, 2008, Neringa, Lithuania, Selected papers, ISBN 978-9955-28-283-9, 54-58.
32.  R. Paulavičius (2008) Parallel multidimensional Lipschitz optimization. Science and supercomputing in Europe: report 2008. Bologna: CINECA Consorzio Interuniversitario, p. 257-260
33. R. Paulavičius, J. Žilinskas (2007) Analysis of different norms and corresponding Lipschitz constants for global optimization in multidimensional case. Information Technology and Control, ISSN 1392-124X, 36(4), 383-387. 
34. R. Paulavičius, J. Žilinskas (2006) Analysis of different norms and corresponding Lipschitz constants for global optimization. Technological and Economic Development of Economy, ISSN 1392-8619, 12(4), 301-306. DOI: 10.1080/13928619.2006.9637758 

Publications with VU Institute of Data Science and Digital Technologies & Institute of Mathematics and Informatics affiliation

Scientific and other projects

1. 2018-2020 Led of a group of researchers at Vilnius University, where we developed optimization software for the largest transportation company in Europe “UAB Girteka Logistics”, under the project “Development of a Smart Real-Time Planning System”:
   • Contract (No. GLG-2018-0658) with “UAB Girteka logistics” - “Creation of the conceptual model for the pickup and delivery problem with time windows (PDPTW)”
   • Contract (No. GLG-2019-0115) with “UAB Girteka logistics” - “Experimental comparative analysis of algebraic modeling languages, investigation of the potential of combining several modeling languages”
   • Contract (No. GLG-2019-0306) with “UAB Girteka logistics” - “Development of an efficient algorithm for large-scale transportation planning problem”
2. 2017-2020 Development and applications of bilevel optimization algorithms. Supported by Research Council of Lithuania. Project manager.
3. 2014-2017 The molecular frontier: extending the boundaries of process design.  Supported by EPSRC Leadership Fellowship [EP/J003840/1]. Member of the Molecular System Engineering group at Imperial College London, London, UK.
4. 2014-2016 Design and development of global optimization algorithms. Supported by Research Council of Lithuania. Member of the group of researchers at Vilnius University.
5. 2013-2017 COST action TD1207 “Mathematical Optimization in the Decision Support Systems for Efficient and Robust Energy Networks”. Member of the group.
6. 2013-2020 European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC). Affiliate Member: https://www.hipeac.net/~remigijus/
7. 2012-2014 Postdoctoral Fellowship under supervision of Prof. J. Žilinskas. Supported by the Human Resources Development Action Program, Mobility of Researchers and Other Researchers, and Student Research Work (VP1-3.1-ŠMM-01). Final fellowship evaluation: 59/60.
8. 2010-2011 Global Optimization with Simplicial Partitions. Supported by Research Council of Lithuania. Member of the group of researchers at the Institute of Mathematics and Informatics.
9. 2009-2013 COST action IC0805 “Open European Network for High Performance Computing on Complex Environments”. Member of the group “WG4: Applications of hierarchical-heterogeneous systems”
10. 2008-2009 Parallel and distributed computing and e-infrastructure network (LitGrid). Supported by Lithuanian Ministry of Education and Science. Member of the group of researchers supported at the Institute of Mathematics and Informatics.
11. 2008-2009 Global optimization of complex systems using high-performance computing and grid technologies. Supported by Lithuanian State Science and Studies Foundation through the Programme for Higher Technologies. Member of the group of researchers at the Institute of Mathematics and Informatics. http://www.gridglobopt.vgtu.lt/

Membership of committees of scientific conferences

• LOD2020: The Sixth International Conference on Machine Learning, Optimization, and Data Science, Sienna, Italy, 2020.
• NUMTA-2019: The 3rd International Conference and Summer School, Crotone, Italy, 2019.
• 1st Workshop on Blockchain and Smart Contract Technologies (BSCT 2018), Poznan, Poland, 2018.
• LION12: Learning and Intelligent Optimization Conference, Kalamata, Greece, 2018.
• LION11: Learning and Intelligent Optimization Conference, Nizhny Novgorod, Russia, 2017.

Reviewing activities

• From 2020: Topic Editor, Mathematics, Switzerland.
• From 2019: External evaluator of the Ph.D. thesis, Almeria University, Spain.
• From 2017: Reviewer at Agency for Science, Innovation, and Technology (MITA), Lithuania.
• From 2017: Reviewer at Lithuanian Business Support Agency (LVPA), Lithuania.
• From 2008: Reviewer at the following international journals:
  • Journal of Global Optimization
  • Optimization Letters
  • Central European Journal of Computer Science
  • Chemical Engineering Research and Design
  • Communications in Nonlinear Science and Numerical Simulation
  • Statistics and its Interface
  • RAIRO - Operations Research
  • Informatica
  • Information Technology and Control
  • Baltic Journal of Modern Computing

PhD Supervision

Supervises Ph.D. students:

• Rytis Bieliauskas (2019-2023)
• Saulius Grigaitis (2018-2023)
• Vaidas Jusevičius (2017-2021)

Successfully defended PhDs:

• Linas Stripinis „Improvement, development and implementation of derivative-free global optimization algorithms“. 25-02-2021.

• Member of the Doctoral Committee of the Informatics Area of Physical Sciences at Vilnius University (since 2017).
• Member of the Defence Council - 4 times.

Teaching

• Undergraduate studies:
  • Blockchain technologies
• Doctoral studies:
  • Blockchain technologies
  • Optimization methods and applications

Presentations at Scientific conferences

1. 2019: NUMTA-2019: The 3^rd International Conference and Summer School, Crotonė, Italy, An enhanced BASBL solver for bilevel problems
2. 2019: Advanced Optimization Course, Imperial College London, London, UK. Bilevel Optimisation
3. 2018: EUROPT-2018: 16th EUROPT Workshop on Advances in Continuous Optimization, Almeria, Spain. The new enhancements for the general bilevel solver BASBL.
4. 2017: 17AIChE: Annual Meeting, Minneapolis, USA. BASBL: Branch-And-Sandwich BiLevel solver. Implementation and computational study using BASBLib test set.
   
5. 2017: DAMSS2016: 9th International Workshop Data Analysis Methods for Software Systems, Druskininkai, Lithuania. General-purpose bilevel solver BASBL: implementation and computational study using BASBLib library.
6. 2017: High-performance computing, optimization and applications, Nizhny Novgorod, Russia. Introduction to Bilevel Programming.
7. 2017: PSE@ResearchDayUK>, Imperial College London, London, UK, BASBL: Branch-And-Sandwich BiLevel solver. Implementation and computational study using BASBLib test set.
   
8. 2016: DAMSS2016: 8th International Workshop Data Analysis Methods for Software Systems, Druskininkai, Lithuania. Global Optimization of Nonconvex Bilevel Problems: Implementation and Computation study of the Branch-and-Sandwich algorithm.
9. 2016: ICCOPT2016: The Fifth International Conference on Continuous Optimization, Tokyo, Japan. Enhancing the performance of BASBL: Branch-And-Sandwich BiLevel solver with the adaptive branching, domain reduction and parallel computing schemes.
10. 2016: ESCAPE26: European Symposium on Computer Aided Process Engineering, Portorož, Slovenia. Global optimization of nonconvex bilevel problems: implementation and computational study of the Branch-and-Sandwich algorithm.
11. 2016: ICBO16: International Conference on Bilevel Optimization and Related Topics, Dresden, Germany. BASBL: Branch-And-Sandwich BiLevel solver for nonconvex bilevel problems.
12. 2015: 15AIChE: Annual Meeting, Salt Lake City, USA. Design, implementation, and evaluation of the Branch-and-Sandwich algorithm for nonlinear nonconvex bilevel problems.
13. 2015: GCSC2015: Workshop on Generalised Convexity and Set Computation, London, UK. Extended Branch-and-Sandwich algorithm for nonconvex bilevel problems.
14. 2015: EURO2015: 27th European Conference on Operational Research, Glasgow, UK. Extended Branch-and-Sandwich algorithm for nonlinear bilevel problems.
15. 2015: BFG2015: 17th British-French-German Conference on Optimization, London, UK. Implementation and computational study of the Branch-and-Sandwich algorithm for nonlinear bilevel problems.
16. 2014: PMAA2014: 8th International Workshop on Parallel Matrix Algorithms and Applications, Lugano, Switzerland. Parallel DIRECT-type optimization algorithms for applications in engineering
17. 2013: ODSDA-2013: Optimal decisions in statistics and data analysis, Cardiff, UK. Balancing local and global information in simplicial global optimization algorithms.
18. 2013: 3PGCIC 2013: 8th international conference on P2P, parallel, grid, cloud and internet computing, Compiègne, France. A parallel DISIMPL for pile placement optimization in grillage-type foundations.
19. 2013: Computer days 2013, Šiauliai, Lithuania. On the reduced-set Pareto-Lipschitzian optimization.
20. 2013: EUROPT-2013: 11th EUROPT Workshop on Advances in Continuous Optimization, Florence, Italy. Advantages of Simplicial Partitioning for Lipschitz Optimization Problems with Linear Constraints.
21. 2013: NUMTA-2013: Numerical Computations: Theory and Algorithms. International Conference and Summer School, Falerna, Italy. Investigation of DIviding SIMPLices Algorithm for Symmetric Lipschitz Optimization Problems.
22. 2012: OMS 2012: 3rd Conference on Optimization Methods and Software, Crete, Greece. Simplicial Lipshitz optimization without the Lipschitz constant.
23. 2011: MMA 2011: 16th International Conference Mathematical Modelling and Analysis, Sigulda, Latvia. Lipshitz optimization without the Lipschitz constant.
24. 2010: IEEE Cluster 2010: IEEE International Conference on Cluster Computing 2010
, Crete, Greece. Investigation of selection strategies in parallel branch and bound algoritm with simplicial partitions.
25. 2010: MMA 2010: 15th International Conference Mathematical Modelling and Analysis, Druskininkai, Lithuania. Simplicial and Rectangular Branch and Bound with Improved Computationally Cheap Bounds.
26. 2009: MMA 2009: 14th International Conference Mathematical Modelling and Analysis, Daugavpils, Latvia. Investigation of selection strategies in branch and bound algoritm with simplicial partitions and combination of Lipschitz bounds.
27. 2008: VOCAL 2008: Veszprém Optimization Conference: Advanced Algorithms
, Veszprém, Hungary. Investigation of simplicial branch and bound algorithms for multidimensional Lipschitz optimization.
28. 2008: EUROPT 2008: Continuous Optimization and Knowledge-Based Technologies, 
Neringa, Lithuania. Branch and bound with simplicial partitions and combination of Lipschitz bounds for global optimization.
29. 2008: INYS-2008: International Networking for Young Scientists on High Performance Scientific Computing, Druskininkai, Lithuania. Parallel branch and bound algorithm with combination of Lipschitz bounds over multidimensional simplices for multicore computers.
30. 2007: MMA 2007: 12th International Conference Mathematical Modelling and Analysis, Trakai, Lithuania. Improved Lipschitz bounds with non Euclidean norms for function values over multidimensional simples

Qualification

Visits abroad:

1. 2020 University of La Laguna Tenerife, Spain (1 week, Erasmus+)
2. 2019 University of Las Palmas de Gran Canaria Gran Canaria, Spain (1 week, Erasmus+)
3. 2018 University of La Laguna Tenerife, Spain (1 week, Erasmus+)
4. 2017 Calabria university Cosenza Italy (1 week, Erasmus+)
5. 2016 Argonne National Laboratory Lemont, Illinois, USA (3 weeks). Under the supervision of dr. Sven Leyffer.
6. 2014 Cardiff University, School of Mathematics (1 week). Under the supervision of Prof. Anatoly Zhigljavsky: https://www.cardiff.ac.uk/people/view/98671-zhigljavsky-anatoly
7. 2014 Imperial College London, Department of Chemical Engineering. Under the supervision of Prof. Claire S. Adjiman (1 week)
8. 2013 Calabria university, Numerical calculus laboratory (1 month). Under the supervision of the Prof. & President of International Society of Global Optimization Yaroslav D. Sergeyev: http://wwwinfo.deis.unical.it/yaro/
9. 2012 Almeria university, Supercomputación: Algoritmos center Almeria Spain (2 months)
10. 2010 ESI-2010: EURO summer institute Klagenfurt University, Austria (2 weeks)
11. 2008 HPC-Europa visit at Edinburgh Parallel Computing Centre (EPCC) The University of Edinburgh, United Kingdom (3 months). Under supervision of Andreas Grothey (School of Mathematics, University of Edinburgh)

Memberships of scientific societies

• 2015 – 2017 Member, International organization “The Mathematical Optimization Society (MOS)”
• 2015 – 2017 Member, Professional organization for chemical engineers “AIChE (American Institute of Chemical Engineers)”
• 2012 – Affiliated member, “European Network on High Performance and Embedded Architecture and Compilation (HiPEAC)”
• 2010 – Member, “Lithuanian Computer Society (LIKS)”

Awards

• Elected member (since 2019) of the Young Academy of the Lithuanian Academy of Sciences.
• Journal of Global Optimization Best Paper Award for a paper published in 2014.
• Postdoctoral fellowship (2012-2014)
• Lithuanian State Science and Studies Foundation Support for researchers (2007-2009)