Research

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Introduced several new notions in stochastic modeling, individually and in collaboration with research students/ collaborators, as indicated below (those are introduced since 1999):

1. Search of orbital customers in Retrial Queues.
2. Self generation of priority in queues.
3. Customer induced interruption in classical/retrial queues.
4. Introduced a random timer to control interruption in queues with server breakdown.
5. Internal generation of new queues in ordinary queues (with or without priority) and also in feedback queues with a single primary queue.
6. Single server queue offering several distinct services, not exactly knowing the service requirement of arriving customers.
7. Introduction of protection to items being produced at certain stages of production, to avoid damage to the item being produced.
8. The analysis of classical queue through retrial concept.
9. N-policy in working vacation queues where, for serving customer’s additional item is required.
10. Inter-dependence of consecutive arrival/service batch sizes in BMAP/BMSP queues.
11. Common life time of stored items, reservation of items and their cancellation and more recently the case of overbooking.
12. Retrial of failed components for repair in system reliability context.
13. Higher dimensional (> 1) Markov Chains—Distribution of the time till absorption is obtained.
14. Distribution of time till events occur in a correlated process is derived.
15. Reservation, Cancellation, Overbooking and Common Life Time of inventoried items for the next K time frames ahead.

The salient feature of analysis of the models described above is that they are studied in the most general set up. A few of these are being applied successfully in to two Indo-Russian projects that I have with a group at the Russian Academy of Sciences. The priority generation/self generation of priority models indicated in item 2 above is also being successfully implemented by a research team in the medical field in Canada.

Complete list of Publications may found in my Research Gate Page.

Research Projects:

2017: Indo-Russian Joint Research Project funded by DST, Govt. of India. Title of the Project: "New set of mathematical models, methods, algorithms and software programes of controllable stochastic systems for performance evaluation and design of the next generation telecommunication networks".
2015: Indo-Russian Joint Research Project funded by DST, Govt. of India. "Elaboration of mathematical models, methods, algorithms, and computer tools for quality of service evaluation of broadband wireless networks, multimedia information transmission along main transport systems and their safety control".
2007: Industrial project of General Motors, India. The project tiled as: "A new class of Queueing Process and related Problems in Inventory and Reliability".
2004: NBHM project tiled "Retrial, Self generation of priorities of customers and Postponement of work in Queues, Inventory and Reliability" funded by NBHM under Department of Atomic Energy (DAE), Govt. of India.
1993: NBHM project tiled "The e ect of Markov & Martingale dependence on Queues, Inventory and Reliability" funded by NBHM under Department of Atomic Energy (DAE), Govt. of India.

Member of Professional Bodies:

Life Member:

National Academy of Sciences India
Indian Society of Probability and Statistics
Ramanujan Mathematical Society
Kerala Mathematical Association

Member:

Society for Industrial and Applied Mathematics
Institute of Mathematical Statistics (IMS)

Academic Visits Abroad during 2000-2017:

Trapeznikov Institute of Control Sciences (of the Russian Academy of Sciences), Moscow, October 23 to November 6, 2017.
Nanyang Technological University (NTU), Singapore, December 18-21, 2016.
Victoria University, Wellington, New Zealand, December 10 to 17, 2016.
Trapeznikov Institute of Control Sciences (of the Russian Academy of Sciences), Moscow, November 18 to 29, 2016.
Trapeznikov Institute of Control Sciences (of the Russian Academy of Sciences), Moscow, October 11-20, 2015.
Korea University & Sunkunwan University, Seoul, South Korea, March-April 2015.
International Conference on Stochastic Systems, Anzhero-Sudhensk, Russia, November 2014.
European Conference on Queueing Theory 2014, Brussels, Belgium, August 2014.
10th International workshop on Retrial Queues, Tokyo Institute of Technology,Tokyo, July 2014.
Duke University, Durham, North Carolina: To deliver Lectures and research Collaboration, June 2011.
International Workshop on Matrix Analytic Method (MAM7), Columbia University, New York, June 13-16, 2011.
Toledo, Spain: As an invited speaker to the Third Madrid Conference on Queueing Theory, June 26 to July 3, 2010.
International Conference on Neural, Parallel and Scienti c Computations, Atlanta, Invited Speaker and organizing a session on Queues, Inventory and Reliability, August 11-14, 2010.
Dhakka, Bangaladesh: To give a series of talks and for research discussions at Northern University of Bangaladesh, January 2010.
XIV INFORMS Applied Probability Conference, Cornell University, Ithaca, Invited speaker to a special session on Matrix Analytic Methods, July 11-13, 2009.
Kettering University, Flint, Michigan, July 2009. For Collaborative work with Professor S.R.Chakravarthy, Department of Operations Research and Industrial Engineering, Kettering University July, 2009.
IV Conference of the International Federation of Nonlinear Analysts, Orlando, Florida: Invited Speaker and Session Chair. In addition organized a number of sessions on Queueing Theory, July 2-9, 2008.
VII International Workshop on Retrial Queues, Athens, Greece: Invited speaker, July 17-19, 2008.
VI International Workshop on Matrix Analytic Methods, Beijing, China: Invited speaker, June 11- 14, 2008.
Muenchen University as Visiting Professor/ Research Collaborator, June 2002, June 2006, July 2007.
International Congress of Industrial & Applied Mathematics(ICIAM), Zurich University and ETH, Zurich, Contributed paper, July 16-20, 2007.
XIV INFORMS Applied Probability Conference, Technical University of Eindhoven, Eindhoven: Invited speaker, July 9-11, 2007.
II Madird Conference on Queueing Theory, Madrid, Spain: Contributed Paper and Session Chair, July 3-7, 2006.
VI International Workshop on Retrial Queues, Miraores, Spain: Session Chair and Invited speaker; also member of the technical programme Committee, July 8-10, 2006.
V International Workshop on Retrial Queues, Seoul, Korea: Invited speaker and session chair; also member of the technical programme committee, September 23-25, 2004.
I AIWARM (First Asia International Workshop on Advanced Reliability Modelling), Hiroshima: Invited speaker, session chair and member of the Technical programme committee, August 24-26, 2004.
I Madrid Conference on Queueing Theory, Madrid, Spain: Invited speaker and member of the International technical programme committee, July 1-5, 2002.
ASMTA (Applied Stochastic Modelling and Simulation): Technological University of Prague: Invited speaker and member of the technical programme committee, June, 2001.
III International Workshop on Retrial Queues, Vrije University, Amsterdam, Nether-lands: Invited speaker and member of the technical programme Committee, March, 2001.
Complutense University of Madrid , University of Rome I , Vrije University, Amsterdam, June, 2001.
National Polytechnic Institute, Mexico city, Mexico, May-June, 2000