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Dr. Gopal Kumar Gupta

Assistant Professor

  •   Ph.D.

I, Dr. Gopal Kumar Gupta, did my Master’s in Mathematics from the Banaras Hindu University, Varanasi, Uttar Pradesh, India, in the year 2011. I completed my Ph.D. degree in the year 2019 from the Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi, Uttar Pradesh, India. I have worked as a Guest faculty in the Department of Mathematics, at Mahatma Gandhi Central University Motihari, Bihar, India.
Research Area: Stochastic Modelling, Queueing Theory. I have started my research career at IIT BHU Varanasi. Since then, I have been working in the area of "Stochastic modeling and analysis of continuous time queueing systems". My main research interests include performance analysis of finite or infinite buffer vacation queuing models with bulk service. I have published research papers in various SCI/Scopus journals such as the Quality Technology & Quantitative Management, International Journal of Operational Research, International Journal of Applied and Computational Mathematics, and International Journal of Mathematics in Operational Research, etc.
I have worked on queues with bulk and non-bulk arrival/service, queueing systems with vacations, queuing models with correlated arrivals MAP/BMAP, etc. Currently, I am working in the areas of fuzzy queueing theory and optimization problems along with Fuzzy Neural Networks. I am looking forward to collaborating with active researchers to explore some new thrust areas in Interdisciplinary research.

  • Mathematics
  • Statistics & Probability
  • Specialization
    1. Queueing Theory
  • Focus
    1. Operations Research
    2. Queueing Theory
    3. Stochastic Process
    4. Fuzzy Neural Network

Journal

No. Information
1 G. K. Gupta and A. Banerjee
Analysis of infinite buffer general bulk service queue with state dependent balking, International Journal of Operational Research, 2021
DOI: 10.1504/IJOR.2021.113500; ISSN: 1745-7645
2 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, 2020 (IF – 2.8)
DOI: 10.1080/16843703.2019.1675568; ISSN: 1684-3703.
3 G. 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), 319-337, 2019
DOI: 10.1504/IJMOR.2019.099383; ISSN: 1757-5850
4 G. 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, 2019
DOI: 10.1007/s40819-019-0617-z; ISSN: 2349-5103

Conferences

No. Information
1 A. Banerjee, K. Sikdar and G. K. Gupta
On finite buffer BMAP=G=1 queue with queue length dependent service, Operations Research and Optimization, 225, 43-59, 2018, FOTA Springer Proceedings
DOI: 10.1007/978-981-10-7814-9 4; ISBN: 978-981-10-7813-2
2 G. K. Gupta and A. Banerjee
On M/G(a;b)/1/N queue with batch size-and queue length-dependent service, Mathematics and Computing, 253, 249-262, 2018, ICMC Springer Proceedings
DOI: 10.1007/978-981-13-2095-8 20; ISBN: 978-981-13-2094-1
3 Stability Theory with Real Life Applications R Arya, G. K. Gupta, A Saxena, V Kumar
11th International Conference on System Modeling & Advancement in Research Trends (SMART), Moradabad, India, 2022, pp. 1013-1017,
Publisher: IEEE Xplore 2022
DOI: 10.1109/SMART55829.2022.10047263.
4 Duality of Graph and Its Application in Electric Circuit P Kumar, A Saxena, GK Gupta, K Kumar
11th International Conference on System Modeling & Advancement in Research Trends (SMART), Moradabad, India, 2022, pp. 1013-1017,
Publisher: IEEE Xplore 2022
10.1109/SMART55829.2022.10047073

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