Ph.D.
gopalkumar.gupta@sitnagpur.siu.edu.in
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.
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| 1 | G. Gupta et al., “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. Gupta et al., “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 | G. Gupta et al., “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 |
| 4 | G. Gupta et al., “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. |
| 5 | G. Gupta et al., “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 |
| 6 | G. Gupta et al., “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 |
| 7 | G. Gupta et al., “Stability Theory with Real Life Applications”, 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. |
| 8 | Gupta et al., “Duality of Graph and Its Application in Electric Circuit”, 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 |
| 9 | G. Gupta et al., Intrusion detection and prevention using Bayesian decision with fuzzy logic system; International Journal of Electrical and Computer Engineering, 2025, 15(1), pp. 1200–1208 |
| 10 | G. Gupta et al., Thermoelastic nature of one-dimensional film of graphene; Zeitschrift fur Angewandte Mathematik und Physik, 2024, 75(6), 233 |
| 11 | G. Gupta et al., Design and Implementations of New Reversible 7’s and 8’s Complement Code Converter for Quantum Computations AIP Conference Proceedings, 2024, 3242(1), 060008 |
| 12 | G. Gupta et al., Securing the Internet of Things: Safeguarding Connectivity in the Cyber Age; AIP Conference Proceedings, 2024, 3242(1), 060004 |
| 13 | G. Gupta et al., Unveiling Cybersecurity Frontiers: a Comprehensive Study of Ethical Hacking for Information Security; AIP Conference Proceedings, 2024, 3242(1), 060010 |
| 14 | G. Gupta et al., Blockchain Security in Cryptocurrency: Challenges, Solutions, and Future Prospects AIP Conference Proceedings, 2024, 3242(1), 060006 |
| 15 | G. Gupta et al., Analysis of the Influence of the Thickness of Transparent Conducting Oxide (GZO) With Ga Doping and Its Use as Anode Materials in Organic Light-Emitting Diodes; ES Energy and Environment, 2024, 25, 1239 |
| 16 | G. Gupta et al., Navigating the Mind: Analysis of Stress and Mental Well-being; 2024 International Conference on Innovations and Challenges in Emerging Technologies, ICICET 2024, 2024 |
| 17 | G. Gupta et al., A Comprehensive Study of AI and Robotics in a Rapidly Changing World; 2024 International Conference on Innovations and Challenges in Emerging Technologies, ICICET 2024, 2024 |
| 18 | G. Gupta et al., Securing the Internet of Things: A Blockchain Paradigm; 2024 International Conference on Innovations and Challenges in Emerging Technologies, ICICET 2024, 2024 |
| 19 | Gopal Kumar Gupta, Reduction of Congestion in Data Transfer Using Modified Bulk Service Rule. Int. J. Math. Comput. Sci., 20, no. 1, (2025), 411-414 |
| 20 | G. Gupta et al., An EPQ Inventory Model with Weibull Distribution, Dynamic Time-Dependent Holding Cost Under Various Demand Pattern Using Maclaurin Series Approximations, Discover Applied Sciences, Springer 2025. |
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