• MA 202: Probability and Statistics
• MA 102: Engineering Mathematics II
• MA 101: Engineering Mathematics I

PhD Supervision (Ongoing:02; Completed: 03

Research Scholar

1. Gopal Kumar Gupta (Completed) - Analysis of finite buffer queues with batch size dependent queue length
2. Gagan Kumar Tamrakar (Completed) - Analysis of infinity buffer queues with single and multiple vacations
3. Kunal Verma (Ongoing) - Bulk service queue
4. Priti Lata (Ongoing) - Bulk service queue

1. K. Verma, G. K. Tarmakar and A. Banerjee “On joint distribution of fixed batch size bulk service Poisson queue with second optional service” International Journal of Mathematics in Operational Research (Accepted, 2023)
2. G. K. Tamrakar, A. Banerjee, and U. C. Gupta. "Analysis of batch size-dependent bulk service queue with multiple working vacation." International Journal of Computer Mathematics: Computer Systems Theory 7.3 (2022): 149-171.
3. G. K. Tamrakar, and A. Banerjee. "Study on infinite buffer batch size dependent bulk service queue with queue length dependent vacation." International Journal of Applied and Computational Mathematics 7 (2021): 1-25.
4. Gopal K. Gupta, and A. Banerjee. "Analysis of infinite buffer general bulk service queue with state dependent balking." International Journal of Operational Research 40.2 (2021): 137-161.
5. G. K. Tamrakar, and A. Banerjee. "On steady-state joint distribution of an infinite buffer batch service Poisson queue with single and multiple vacation." OPSEARCH 57.4 (2020): 1337-1373.
6. G. K. Gupta, A. Banerjee, and U. C. Gupta. "On finite-buffer batch-size-dependent bulk service queue with queue-length dependent vacation." Quality Technology & Quantitative Management 17.5 (2020): 501-527.
7. Gopal K. Gupta, and A. Banerjee. "Steady state analysis of system size-based balking in M/Mb/1 queue." International Journal of Mathematics in Operational Research 14.3 (2019): 319-337.
8. Gopal K. Gupta, and A. Banerjee. "On finite buffer bulk arrival bulk service queue with queue length and batch size dependent service." International Journal of Applied and Computational Mathematics 5 (2019): 1-20.
9. Gopal K. Gupta, and A. Banerjee. "On M/G (a, b)/1/N Queue with Batch Size-and Queue Length-Dependent." Mathematics and Computing: ICMC 2018, Varanasi, India, January 9-11, Selected Contributions 253 (2018): 249.
10. Gopal K. Gupta, A. Banerjee, K. Sikdar “On Finite Buffer BMAP/G/1 Queue with Queue Length Dependent Service” Kar S., Maulik U., Li X. (eds) Operations Research and Optimization. FOTA 2016. Springer Proceedings in Mathematics & Statistics 225 (2018)
11. A. Banerjee "Analysis of finite buffer queue with state dependent service and correlated customer arrivals." Journal of the Egyptian Mathematical Society 24.2 (2016): 295-302.
12. A. Banerjee, U.C. Gupta, and S. R. Chakravarthy. "Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service." Computers & Operations Research 60 (2015): 138-149.
13. A.  Banerjee, U.C. Gupta. “M/M/1 machine repairman problem with bulk-repair using general bulk service rule” International Journal of Mathematics and Statistics 23-33
14. A. Banerjee, U. C. Gupta, and V. Goswami. "Analysis of finite-buffer discrete-time batch-service queue with batch-size-dependent service." Computers & Industrial Engineering 75 (2014): 121-128.
15. A. Banerjee, U.C. Gupta, and K. Sikdar. "Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service." International Journal of Mathematics in Operational Research 5.3 (2013): 358-386.
16. A. Banerjee, and U. C. Gupta. "Reducing congestion in bulk-service finite-buffer queueing system using batch-size-dependent service." Performance Evaluation 69.1 (2012): 53-70.
17. U. C. Gupta, and A. Banerjee. "New results on bulk service queue with finite-buffer: M/G (a, b)/1/N." Opsearch 48 (2011): 279-296.
18. A. Banerjee, K. Sikdar, and U. C. Gupta. "Computing system length distribution of a finite-buffer bulk-arrival bulk-service queue with variable server capacity." International Journal of Operational Research 12.3 (2011): 294-317.

Department Level

• Member of Departmental Purchase Committee
• Member of DUGC
• Member of DPGC
• DPGC Convener (September 2023 to till date)

Institute Level

• Member of User Committee For Faculty Residential Quarters
• Worked as Warden of IIT Girls’ Hostel since August 2015 to October 2018

Ph.D. Position

To join as a research scholar under my supervision one must have knowledge in probability theory and programming language.