Umesh Chandra Gupta

Hello!


Welcome to my website. I am a retired professor with over 36 years of teaching and research experience at the Indian Institute of Technology, Kharagpur. My specialization is in Statistics and in particular Stochastic Modelling of queues.


Retired Professor (HAG)

Department of Mathematics

Indian Institute of Technology Kharagpur - 721302, India.

Email: ucgiitkgp@gmail.com

Current Address: Gurugram, Haryana.

I have taught a number of courses at IIT Kharagpur to engineering/science students at the undergraduate level ( B.Tech.) and Postgraduate (Engineering and other specialized branches ) M.Tech. level. Besides, I have also taught advanced level courses to students of M.Sc. (Mathematics), M.Sc. (Mathematics and Computing), and M.Sc. (Statistics and Informatics). In particular, I have taught the following courses:

  • B.Tech. Mathematics-I, Mathematics-II, Probability and Statistics, Probability and Stochastic Processes.

  • M.Tech. Statistical Methods, Techniques of Analysis and Programming, Statistical Quality Control, Applied Stochastic Processes, Object-Oriented Programming.

  • M.Sc. Probability and Statistics, Statistical Inference, Computational Statistics, Stochastic Process, Queueing Theory, Software Lab.

Research Experience

Over 35 years in the area of Stochastic modeling and analysis of discrete and continuous-time queueing systems. I have worked on several topics of queueing theory and population models viz. transient solution of Markovian queues, computational aspects of bulk and non-bulk queues, discrete-time queues with bulk and non-bulk arrival/service, queueing systems with vacations, queuing models with correlated arrivals MAP/DMAP. For the last 10 years, I have been working on alternative methods of analyzing MAP/G/1 type of queues which are usually analyzed using the Matrix analytic method (MAM). I have also worked in the area of Finance and in particular on portfolio optimization.

Ph.D. Guidance

I have supervised 12 Ph.D. students at IIT Kharagpur. Eleven in the area of queueing theory, and one in the area of portfolio optimization. Details are given below:

  1. T. S. S. Srinivas Rao, Modelling and Analysis of M/G/1 Type Queues (1996).

  2. P. V. Lakshmi, Analysis of Some Bulk Arrival/Service Queues with Finite Buffer(2003).

  3. K. Sikdar, Analysis of Finite/Infinite Buffer Bulk Service Queue with Poisson and Markovian Arrival Process and Server Vacations (2004).

  4. S. K. Samanta, Analysis of Finite-Buffer Vacation and Non-Vacation Discrete-Time Queueing Systems (2006).

  5. A. D. Banik, Analysis of Vacation and Non-Vacation Queues Under Markovian Arrival/Service Process (2007).

  6. A. Banerjee, Analysis of Finite-Buffer Bulk-Service Queues with and without Batch Size-Dependent Service (2012).

  7. Gagandeep Singh Rahi, Computational Analysis of Single Server Queues with Markovian Arrival Processes Using Roots (2012).

  8. P Kumar, Interval Optimization Methods for Portfolio Selection Problem (2015). Jointly with Prof. G. Panda.

  9. S Pradhan, Analysis of Infinite Buffer Batch-Service Queues with StState-Dependentervice, (2016).

  10. A. Maity, Continuous and Discrete-Time Modeling and Performance Analysis of Infinite-buffer Batch-Service Queues (2019).

  11. F. P. Barbhuiya, Analysis of Continuous and Discrete-Time Infinite Buffer Queues with Batch Renewal Arrival (2020).

  12. N. Kumar, Stochastic Modeling and Analysis of Population Models Subject to Mild Catastrophes (2021).

Administrative Experience

  1. Dec.1982 - Sept. 1984 Officer (Class-I) and Probationer of Indian Statistical Service (ISS), Central Statistical Organization, Department of Statistics, Ministry of Planning, New Delhi. As a probationer, I completed two years of training in Official Statistics, Applied Statistics, and General Administration.

  2. Oct. 1984 - Oct 1985 Deputy Assistant Director, Assessment section, Directorate of National Malaria Eradication Programme, New Delhi.

  3. July 1991 - Dec. 1993: Assistant Warden, Patel Hall, IIT Kharagpur.

  4. July 2001 - July 2003: Chairman, Departmental Time-Table Committee.

  5. July 2003 - July 2005: Warden, Dr. Rajendra Prasad Hall, IIT Kharagpur.

  6. July 2002 - June 2004: Chairman, Departmental Purchase Committee.

  7. July 2004 - June 2006: Chairman, Dept. Undergraduate Program Evaluation Committee.

  8. July 2006 - July 2011: Member of Research Program Evaluation Committee (RPEC).

  9. July 2006 - Feb. 2009: Director’s nominee of Preparatory Course and SC/ST coordinator.

  10. July 2007 - July 2010: Warden, Dr. Radhakrishna Hall, IIT Kharagpur.

  11. Oct. 2010 - Sept. 2013: Chairman, Rajbhasa Vibhag, IIT Kharagpur.

  12. July 2010 - Mar. 2013: Coordinator, Financial Engineering Program.

  13. Oct. 2013 - Sept. 2016: Head, Dept. of Mathematics, IIT Kharagpur.

Foreign Visits and Research Collaboration

I have visited the Department of Mathematics and Computer Science, Royal Military College, Kingston, Canada, several times in connection with research collaboration.

  1. Aug. 1989 - July 1990 Visiting Research Scholar.

  2. Dec. 1993 - Dec. 1994 Visiting Research Associate.

  3. June 20 - July 20, 1996, Visiting Researcher.

  4. May 25 - July 4, 1997, Visiting Research Professor.

  5. June 5 - July 22, 1998, Visiting Senior Researcher.

  6. May 24 -July 18, 1999, Visiting Scientist.

  7. June 2 - July 21, 2000, Visiting Scientist.

  8. June 1 - July 31, 2003, Visiting Scientist.

  9. May 30 - July 16, 2006, Visiting Scientist.

  10. June 26 - July 18, 2007, Visiting Scientist.

Visits to other Foreign Universities/ Institutes :

  1. June 21 - July 3, 2001, Department of Industrial Engineering, Korea Advanced Institute of Science and Technology, South Korea.

  2. Oct. 11 - 24, 2004 SMACS RESEARCH GROUP Department of Telecommunications and Information Processing, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium

Publications