• Probability and Statistics
• Stochastic Process
• Operations Research 
• Engineering Mathematics II
• Engineering Mathematics I
• Optimization Techniques 
• Numerical Techniques 
• Algebra

PhD Supervision (Ongoing:05; Completed: 03)

Research Scholar
1.    Dr. Gopal Kumar Gupta (Completed, Co-supervisor: Prof. Subir Das) - Analysis of finite buffer queues with batch size dependent queue length
2.    Dr. Gagan Kumar Tamrakar (Completed) - Analysis of infinity buffer queues with single and multiple vacations 
3.    Dr. Abhishek (Completed, as co-supervisor, Supervisor: Dr. Debdas Ghosh)
4.    Mr. Kunal Verma (Ongoing, PEL) - Bulk service queue
5.    Ms. Priti Lata (Ongoing) - Bulk service queue with SoS
6.    Ms. Amita Maurya (Ongoing)
7.    Mr. Nitin Verma (Ongoing)
8.    Ms. Shobha Bharti (Ongoing)
 

PG/IDD Dissertation

1. Mr. Divyansh Sahu (21124020) (Even Semester 2025-2026)
2. Mr. Manoj Kumar Kumawat (20124028):  "On transient and steady-state analysis of GI/M/c queue with metaheuristic cost optimization approach"  Even Semester 2024-2025)
3. Mr. Vamsi Kaushik(20124029): "Study on runs success and failure in the sequence of Bernoulli trials" (Even Semester 2024-2025)
4. Mr. Gaurav Gupta (Even Semester 2024-2025)
5. Mr. Nilesh Prem Prakash (19124028): Study on finite buffer GI/M/1 bulk queueing models with single and multiple server (Even Semester 2023-2024)
6. Mr. Vivek Bhadola (19124042): Study on some GI/M/1/N bulk queueing models (Even Semester 2023-2024)
7. Ms. Maneeshita Sharma (15123010): “Textual question answering for SQuAD2.0 (Even Semester 2019-2020)
8. Mr. Himank Airon (13123007): Sarcasm and Irony Detection in Social Media (Even Semester 2017-2018)
9. Mr. Shivam Kumar Maurya (12412EN010): Finite buffer vacation queue with correlated arrival: An algorithmic approach for numerical implementation (Even Semester 2016-2017)
10. Mr.Abhishek Gaurav (11412EN012:Studies on Quasi-Birth-Death Process using Matrix Geometric Method (Even Semester 2015-2016)
11. Mr. Mohit Agrawal (10412EN005): Balancing U-Shaped Assembly line with resource dependent task times: Algorithmic approach (Even Semester 2014-2015)
12. Mr. Sushil Kumar (10412EN017): Portfolio Optimization Problem with Transaction Costs: An Application of Hybrid Algorithm (Even Semester 2014-2015)
     

UG Projects Supervision:

•    2024 - 2025: Mr. Abhinav Kumar Agarwalla (22124004):
•    2024 - 2025: Mr. Ajay Gound (22124005)
•    2023 - 2024:Ms. Ayushi Mittal (21124014) 
•    2023 - 2024: Mr. Divyansh Sahu (21124020) 
•    2022-2023: Mr. Manoj Kumar Kumawat (20124028) 
•    2022-2023:Ms. Barnali Singh (20124014) 
•    2021 - 2022: Mr. Vivek Bhadola (19124042)
•    2017-2018: Mr Dhruv Agarwal (14123006) 
•    2017-2018: Mr. Ishkaran Mangat (14123021)

Exploratory Project Guidance:

•    2024-2025: Mr. Dipanshu Patidar (23124015)
•    2024-2025: Pratyush Sinha (23124037)
•    2023-2024: Mr. Abhinav Kumar Agarwalla (22124004)
•    2023-2024: Mr. Saharsh Kumar (22124037)
•    2022-2023: Md Danish Ansari (21124029)
•    2022-2023: Mr. Harsh kadiyan (21124057)
•    2022-2023: Mr Mridul Ramakrishnan (21124030)
•    2020-2021: Mr. Madhav Mittal (19124020)
•    2020-2021: Mr. Naman Arora (19124027)
•    2018-2019: Ms. Chhavi Jain (17123004)
•    2018-2019: Mr. Aditya Singh (17123001)
•    2018-2019: Ms. Shreya Manoj Munshi (17123022)
•    2017-2018: Mr Abhishek Sharma  (16123002)

Summer project:

Journal Publications

1.    G. K. Tamrakar and A. Banerjee, “On state dependent batch service queue with single and multiple vacation under Markovian arrival process, International Journal of Operational Research (2025) 52 (4), 531-557. (Inderscience, Q3, SCOPUS, MathSciNet)          

 
2.    A. Banerjee and Priti Lata, “Complete Analysis of M/Gr(a,b) /1/N Queue with Second Optional Service” Methodology and Computing in Applied Probability (2024) 26:46. (Springer, Q2, SCIE,    SCOPUS)
        
3.    G. K. Tarmakar and A. Banerjee, “On steady state analysis of an MX/G(a,Y)/1 queue with optional service and queue length dependent single (multiple) vacation” Queueing Models and Service Management (2023): 6(1), 27-61. (Kaoyian Press, Q4, SCOPUS)  

                         
4.    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).             

                                                       
5.    GK Tamrakar, A. Banerjee, UC Gupta, Analysis of batch size dependent bulk service queue with multiple working vacation, International Journal of Computer Mathematics: Computer Systems Theory, 7(3), 149-171, 2022. (Taylor & Fransis, Q2, ESCI, SCOPUS, MathSciNet)

6.    GK Tamrakar, 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 (6), 1-25, 2021. (Springer, Q3, SCOPUS)

7.    GK Gupta, A. Banerjee, Analysis of infinite buffer general bulk service queue with state dependent balking, International Journal of Operational Research 40 (2), 137-161, 2021. (Inderscience, Q3, SCOPUS, MathSciNet)

8.    GK Tamrakar, A. Banerjee, On steady-state joint distribution of an infinite buffer batch service Poisson queue with single and multiple vacation, OPSEARCH 57 (4), 1337-1373, 2020. (Springer, Q2, ESCI, SCOPUS, SCImago, Mathematical Reviews)

9.    GK Gupta, A. Banerjee, UC Gupta, On finite-buffer batch-size-dependent bulk service queue with queue-length dependent vacation, Quality Technology & Quantitative Management 17 (5), 501-527, 2020. (Taylor & Fransis, Q1, SCIE)

10.    GK Gupta, A. Banerjee, Steady state analysis of system size-based balking in M/Mb/1 queue, International Journal of Mathematics in Operational Research 14 (3), 319-337, 2019. (Inderscience, Q3, SCOPUS)

11.    GK Gupta, 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 (2), 1-20, 2019. (Springer, Q3, Mathematical Reviews, SCOPUS, SCImago)

12.    A. Banerjee, UC Gupta, SR Chakravarthy, Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service, Computers & Operations Research 60, 138-149, 2015. (Elsevier, Q1, SCOPUS, SCIE)

13.    A. Banerjee, U. C. Gupta, V. Goswami, Analysis of finite-buffer discrete-time batch-service queue with batch-size-dependent service, Computers & Industrial Engineering 75, 121-128, 2014. (Elsevier, Q1, SCOPUS, SCIE)

14.   A. Banerjee, UC Gupta, 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), 358-386, 2013. (Inderscience, Q3, SCOPUS)

15.    A. Banerjee, UC Gupta, Reducing congestion in bulk-service finite-buffer queueing system using batch-size-dependent service, Performance Evaluation 69 (1), 53-70, 2012. (Elsevier, Q2, SCIE)

16.    UC Gupta, A. Banerjee, New results on bulk service queue with finite-buffer: M/G (a, b)/1/N, OPSEARCH 48 (3), 279-296, 2011. (Springer, Q2, ESCI, SCOPUS, SCImago, Mathematical Reviews)

17.    A. Banerjee, K Sikdar, UC 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), 294-317, 2011. (Inderscience, Q3, SCOPUS)

Conference Proceedings

1.    GK Gupta, A. Banerjee, On M/G (a, b)/1/N Queue with Batch Size-and Queue Length-Dependent Service, Springer Proceedings in Mathematics and Computing (ICMC 2018, Varanasi, India, January 9-11) Vol-253, pp-249, 2018.

2.    GK 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, Vol-225, 2018. (Springer, Q4, SCOPUS, SCImago, Mathematical Reviews)

Department Level

• Member of the Departmental Purchase Committee (for several years) 
• Member of DUGC (for several years)
• Member of DPGC (for several years)
• DPGC Convener (September 2023 to August 2024)
• DPGC Convener (September 2024 to till date)
• Member of other departmental committees as well

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 know probability theory and programming language, viz., C, C++, MAPLE, Matlab, and Python.