## Research interests

Broadly speaking, my research interests lie in the field of Applied Probability and Stochastic Operations Research. More specifically, my work deals with the modelling and analysis of stochastic models which are inspired by real-world applications arising in the following areas:

- ◘ Catastrophic mechanisms for biological populations.
- ◘ Web-systems and internet protocols.
- ◘ Communications and traffic systems.
- ◘ Maintenance schedule and design.

Within each of the above listed areas, I have strived to build a solid foundation based upon various traditional and non-traditional techniques used in the exact analysis of stochastic processes. These techniques include but are not limited to:

- ◘ Transform methods (probability generating functions and Laplace transforms).
- ◘ Complex function methods (boundary value problem method and differential equations).
- ◘ Special techniques (matrix analytic methods, compensation approach and power series algorithm).
- ◘ Special functions (Kummer function, hypergeometric series and q-series).

## Research overview

My research interests lie on the field of Applied Probability - Stochastic Processes and Queueing Theory. More concretely, on the modeling and study of stochastic processes with applications to queueing theory, population growth models and maintenance design. The research topics that interest me most tend to be real-life problems arising from practical situations, which can be analyzed using traditional and non-traditional tools from queueing theory and stochastic processes.

## Publications

PUBLICATIONS IN INTERNATIONAL REFEREED JOURNALS
- ◘ I. Adan, O. Boxma, S. Kapodistria and V. Kulkarni. Shortest queue polling model, Annals of Operations Research. Doi:10.1007/s10479-013-1495-0.
- ◘ I. Adan, S. Kapodistria and J. van Leeuwaarden. Erlang arrivals joining the shorter queue. Queueing Systems, 74(2-3), 273-302, 2013.
- ◘ S. Kapodistria and G. Psarrakos. Some extensions of the residual lifetime and its connection to the cumulative residual entropy. Probability in the Engineering and Informational Sciences, 26(1), 129-146, 2012.
- ◘ S. Kapodistria. A single server queue with synchronized abandonments. Queueing Systems, 68(1), 79-109, 2011.
- ◘ A. Economou, S. Kapodistria and J. Resing. Synchronized services in a single server queue. Stochastic Models, 26(4), 1-32, 2010.
- ◘ A. Economou and S. Kapodistria. Synchronized abandonments in a single server unreliable queue. European Journal of Operational Research, 203(1), 143-155, 2010.
- ◘ I. Adan, A. Economou and S. Kapodistria. Synchronized reneging in queueing systems with vacations. Queueing Systems, 62(1-2), 1-33, 2009.
- ◘ A. Economou and S. Kapodistria. q-series in Markov chains with binomial transitions: studying a queue with synchronization. Probability in the Engineering and Informational Sciences, 23(1), 75-99, 2009.

PUBLICATIONS IN REFEREED CONFERENCE PROCEEDINGS
- ◘ N. Bansal, D. Bourne, M. Firat, M. de Graaf, S. Kapodistria, K. Kumar, C. Meerman, M. Mitici, F. Nardi, B. de Rijk, S. Sarswat, and L. Scardia. Optimization of lifetime in sensor networks. Proceedings of Study Group Mathematics with Industry (SWI), 2012.

PUBLICATIONS IN CONFERENCE PROCEEDINGS
- ◘ T. Phung-Duc, S. Kapodistria and J. Resing. Markovian stochastic models with linear and binomial transition rates, Proceedings of the Japan Queueing Symposium, 2012.

ARTICLES SUBMITTED/UNDER PREPARATION
- ◘ I. Adan, S. Kapodistria and J. van Leeuwaarden. Shortest expected delay routing, 2012. Preprint
- ◘ T. Phung-Duc, S. Kapodistria and J. Resing. Markovian stochastic models with linear and binomial transition rates, 2013. Preprint
- ◘ S. Kapodistria. Equilibrium balking strategies in a single server queue with server vacations and impatient customers, 2013. Preprint
- ◘ S. Kapodistria and A. di Bucchianicco. CBM scheduling based on multivariate SCP, treating false alarms, 2014. Preprint
- ◘ S. Kapodistria and A. di Bucchianicco. Literature overview paper: Data pooling and sensor fusion in Maintenance.
- ◘ S. Kapodistria and Z. Palmowski. Synchronized reneging in two queues in parallel.
- ◘ S. Kapodistria and B. Zwart. Heavy traffic analysis in Binomial models.
- ◘ T. Phung-Duc, J. Resing, S. Kapodistria and A. Economou. Retrial queueing systems with synchronized abandonments.
- ◘ S. Kapodistria, M. Vlasiou, U. Yechiali and N. Perel. Multi-dimensional queueing models with abandonments and priorities.
- ◘ S. Kapodistria, M. Vlasiou, U. Yechiali and E. Perel. Customer reneging.
- ◘ S. Kapodistria and D. Roy. Semi-open queueing systems.

BOOKS

- ◘ S. Kapodistria. Stationary performance evaluation measures in multidimensional Markov chains and applications in Queueing Theory. Ph.D. Dissertation, University of Athens, 2009.

CONTRIBUTION TO BOOKS
- ◘ S. Kanta and S. Kapodistria. Textbook (in Greek): Operations Research, University of Athens, 2008.
- ◘ S. Kanta, S. Kapodistria and T. Xifara. Textbook (in Greek): Statistics II, University of Athens, 2008.
- ◘ S. Kapodistria and E. Kyrgia. Tragedy = 0,627389 - 0,201533*Comedy. Invited paper. Stefanos: Honorary bid for Walter Puchner (Editor: Joseph Vivilakis). Ergo Publications, 2007.
- ◘ S. Kapodistria and N. Vlahos, Textbook (in Greek): LaTex Guide, University of Athens, 2006.

## Talks

INVITED TALKS
- ◘ Stationary analysis of the shorter queue model, 17th INFORMS Applied Probability Society Conference, 2013.
- ◘ Analytic approaches of multi-dimensional queueing systems, University of Melbourne, Department of Mathematics and Statistics, Australia, 2013.
- ◘ Analytic approaches of multi-dimensional queueing systems, University of Queensland, Department of Mathematics and Physics, Australia, 2013.
- ◘ Random walks in the quarter plane. Eindhoven University of Technology, Eurandom, The Netherlands, 2011.
- ◘ Queueing systems with synchronized events and possible applications in actuarial science. University of the Aegean, Department of Statistics and Actuarial-Financial Mathematics, Greece, 2011.
- ◘ Markov chains with binomial transitions: modeling and analysis of queueing systems with synchronized events. Universidad Carlos III de Madrid, Department of Statistics, Spain, 2010.
- ◘ Modeling, analysis and pricing of queueing systems. National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Greece, 2010.
- ◘ Queueing systems with synchronized events. University of Ioannina, Department of Mathematics, Greece, 2010.
- ◘ Markov chains with binomial transitions: modeling and analysis of queueing systems with synchronized events. University of the Aegean, Department of Statistics and Actuarial-Financial Mathematics, Greece, 2010.
- ◘ A single server queue with synchronized abandonments. University of Athens, Department of Mathematics, Greece, 2009.

SELECTED ABSTRACTS/CONFERENCE PRESENTATIONS
- ◘ Factorial moment approach for the study of the infinite server queue with synchronized reneging, 17th INFORMS Applied Probability Society Conference, 2013.
- ◘ Queueing models with linear and binomial transitions. 9th International Workshop on Retrial Queues, 2012.
- ◘ Erlang arrivals joining the shortest queue-Stretching the limits of the compensation approach. 4th EURO Working Group on Stochastic Modeling Conference, 2012.
- ◘ The compensation approach: studying the Erlang arrivals joining the shortest queue. Workshop on Scaling limits of random walks in the quarter plane, 2012.
- ◘ Equilibrium balking strategies in a single server Markovian queue with server vacations and impatient customers. 16th INFORMS Applied Probability Society Conference, 2011.
- ◘ Synchronized services in a single server gated queue. 9th German Open Conference on Probability and Statistics, 2010.
- ◘ Continuous-time Markov Chains with Binomial Transitions: Modeling, Analysis and Applications to Queueing Systems with Synchronized Events. 3rd EURO Working Group on Stochastic Modeling Conference, 2010.
- ◘ A single server queue with synchronized abandonments. 3rd Madrid Conference on Queueing theory, 2010.
- ◘ Markov Chains with Binomial Transitions: Modeling and Analysis of Queueing Systems with Synchronized Events. 15th INFORMS Applied Probability Society Conference, 2009.
- ◘ Synchronized reneging in queueing systems with vacations. 2nd EURO Working Group on Stochastic Modeling Conference, 2008.
- ◘ Synchronized reneging in a queueing system with constant retrials. 7th International Workshop on Retrial Queues, 2008.
- ◘ Performance evaluation and pricing of a queueing system with synchronized services and setup times. 12th International Conference on Applied Stochastic Models and Data Analysis (AMSDA), 2007.
- ◘ Analysis of a queueing system with synchronized services and setup times. 14th INFORMS Applied Probability Conference, 2007.

DEPARTMENT SEMINARS
- ◘ Shortest queue polling model. Eindhoven, 2012.
- ◘ Queueing models with linear and binomial transitions. Eindhoven, 2011.
- ◘ Basic hyper-geometric series, Athens, 2008.
- ◘ To queue or not to queue. Athens, 2006.
- ◘ Difference and differential equations in Stochastic Operations Research. Athens, 2005.

VISITS
- ◘ University of Melbourne, Department of Mathematics and Statistics, Australia. February 2013.
- ◘ University of Queensland, Department of Mathematics and Physics, Australia. February 2013.
- ◘ Universidad Carlos III de Madrid, Department of Statistics, Madrid, Spain. April 2010.
- ◘ Université Libre de Bruxelles, Department of Informatics, Brussels, Belgium. June, 2009.

## Industrial projects

- ◘ Project title: Data monitoring, fault detection and diagnostics

Industrial consortium partners: Oliveira, Delta, EyeWings, Blix
- ◘ Project title: Out-of-control action plan (OCAP)

Industrial consortium partners: Oliveira, Delta, EyeWings, Blix
- ◘ Project title: Estimation of the time to failure

Industrial consortium partners: Oliveira, Delta, EyeWings, Blix
- ◘ Project title: Estimation of the initial state of a wind turbine

Industrial consortium partners: Oliveira, Delta, EyeWings, Blix

- ◘ Project title: Coordinated Advanced Maintenance and Logistics Planning for the Process Industries

Industrial consortium partners: Gasunie, Oliveira, ORTEC, SABIC, Sitech, SPIE, Stork

Academic consortium partners: Eindhoven University of Technology, Groningen University, Tilburg University

Project coordinator: Ruud Teunter

Project funding: Dinalog