• Ph.D. in Statistics – Kurukshetra University, Kurukshetra, India (2006)
  Specialization: Queuing Theory 
• M.Sc. in Statistics – Kurukshetra University, Kurukshetra, India (2002)
• B.Ed. – University of Kashmir, India (2000)
• B.Sc. (Non-Medical)– Himachal Pradesh University, Shimla, India  (1998)

• Associate Professor , School of Mathematics
  Shri Mata Vaishno Devi University, Katra, India (August, 2021–Present)

• Professor (Statistics), Department of Mathematics, Statistics, and Actuarial Science (On lien)
  Namibia University of Science and Technology, Namibia (February, 2021–May, 2024)

• Assistant Professor (Level 12), School of Mathematics
  Shri Mata Vaishno Devi University, Katra, India (August, 2018–July, 2021)
• Assistant Professor (Level 11), School of Mathematics
  Shri Mata Vaishno Devi University, Katra, India (August, 2013–July, 2018)
• Assistant Professor (Level 10), School of Mathematics
  Shri Mata Vaishno Devi University, Katra, India (August, 2009–July, 2013)
• Senior Lecturer, School of Business Studies  Sharda University, Greater Noida, India (November, 2007-July, 2009)
• Lecturer, Amity Business School Amity University, Uttar Pradesh, Noida, India (April, 2006-October, 2007)

• Coordinator, Minor Projects, School of Mathematics, Shri Mata Vaishno Devi University (2024-till date)
• Coordinator, Internship Projects, School of Mathematics, Shri Mata Vaishno Devi University (2024-till date)
• Coordinator, NAAC Accreditation, School of Mathematics, Shri Mata Vaishno Devi University (2024-till date)
• In-charge, Library Committee, School of Mathematics, Shri Mata Vaishno Devi University (2024-till date)
• Senate Member, Namibia University of Science and Technology, Namibia (2021-2024).
• Coordinator, Research Ethics Committee, Faculty of Health, Natural Resources and Applied Sciences), Namibia University of Science and Technology, Namibia (2021-2024)
• Board of Studies Member, Faculty of Health, Natural Resources and Applied Sciences, Namibia University of Science and Technology, Namibia (2021-2024)
• Member, Faculty Research and Publication Committee, Faculty of Health, Natural Resources and Applied Sciences, Namibia University of Science and Technology, Namibia (2021-2024)
• Representative of Faculty of Health, Natural Resources and Applied Sciences to Institutional Research Ethics Committee, Namibia University of Science and Technology, Namibia (2021-2024)

• Warden, Vindhyachal Hostel, Shri Mata Vaishno Devi University (2020-2021)

• Joint Warden, Nilgiri Hostel, Shri Mata Vaishno Devi University (2017-2020)

• Joint Warden, Vindhyachal Hostel, Shri Mata Vaishno Devi University (2016-2017)
• School of Mathematics Coordinator, Alumni Affairs Committee, Shri Mata Vaishno Devi University (2015-2020)
• Member Secretary, Board of Studies, School of Mathematics, Shri Mata Vaishno Devi University  (October, 2020-January, 2021)
• Member Secretary, School Research Committee, School of Mathematics, Shri Mata Vaishno Devi University (2010-2020)
• In-charge, Library Committee, School of Mathematics, Shri Mata Vaishno Devi University (2016-2021)
• Member, Library Sub-Committee, DQA, Shri Mata Vaishno Devi University (2019-2021)
• Member, Academic Affairs Committee, School of Mathematics, Shri Mata Vaishno Devi University (2018-till date)

• Centre Controller at Delhi for SEE-UPTU: 2009

• Management Representative for ISO 9001& 14001 ABS, Amity University, Uttar Pradesh, Noida, India (2006-2007)

• Coordinator, Faculty Development, Sharda Business School, Sharda University, Greater Noida, India (2007-2009)

• Program Coordinator, BBA, Sharda Business School, Sharda University, Greater Noida, India (2008-2009)

• Member, Academic Council, Sharda University, Greater Noida, India (2008-2009)

• Principal Investigator –University Grants Commission (UGC) sponsored major research project on “Transient solutions of Markovian Queuing Models with Customer Impatience and Retention of Reneged Customers”, School of Mathematics, Shri Mata Vaishno Devi University, Katra, India (2015-18)

• Co-Principal Investigator – Department of Science & Technology (DST), Government of India sponsored project – Fund for Improvement of S&T infrastructure in universities & higher educational institutions (FIST) Program-2020 -School of Mathematics, Shri Mata Vaishno Devi University, Katra, India (2021-2026) 

1. Project Title: Transient solutions of Markovian Queuing Models with Customer Impatience and Retention of Reneged Customers

   Role: Principal Investigator

   Sponsoring Agency: University Grants Commission (UGC) 

   Funding Amount: INR 989000

   Place: School of Mathematics, Shri Mata Vaishno Devi University, Katra, India (2015-18)

2. Project Title: Fund for Improvement of S&T infrastructure in universities & higher educational institutions (FIST) Program-2020, Level-1, School of Mathematics, Shri Mata Vaishno Devi University, Katra, India 

         Role: Co-Principal Investigator

         Sponsoring Agency: Department of Science & Technology (DST), Government of India

         Funding Amount: INR 2800000

         Place: School of Mathematics, Shri Mata Vaishno Devi University, Katra, India (2021-2026)

1. Sapana, S., Kumar, R., Soodan, B.S. and Singh, P. (2023). Queuing models with customers’ impatience – a survey. International Journal of Mathematics in Operational Research, Vol 26, No. 4, 523-547.
2. Sapana, S., Kumar, R., Kuaban, G. S., Soodan, B.S. and Singh, P. (2023). Performance and cost evaluation of an adaptive queuing system with customer reneging and retention: Steady-state and transient analysis. International Journal of Services, Economics and Management, DOI: 10.1504/IJSEM.2023.10054965.2. [Published Online First].
3. Yohapriyadharsini, R. S, V. Suvitha, Kumar, R. (2023). A Queueing System With Heterogeneous Arrivals, Two Kinds Of Vacations And Impatient Customers. International Journal of Mathematics in Operational Research, DOI: 10.1504/IJMOR.2023.10059372. [Published Online First].
4. Ayyappan, G., Thilagavathy, K., and Kumar, R. (2023). Cost Optimization of MMAP/PH(1), PH(2)/1 Pre-emptive Priority Retrial Queueing model with Standby Server, Orbital Search, Server Breakdowns, Phase Type repairs and Impatient Customers. International Journal of Mathematics in Operational Research, DOI:10.1504/IJMOR.2023.10060048. [Published Online First].
5. Soodan, B. S.  and Kumar, R. (2022) A single server queuing system with correlated reneging and feedback of served customers. Communications in Statistics: Theory and Methods, Vol. 51, No. 18, 6461-6475. [SCIE, WOS I.F. = 0.8]. ISSN 0361-0926.
6. Kumar R., Soodan, B.S., Kuaban, G.S., Czekalski, P., Sharma, S. (2021). Performance Analysis of a Cloud Computing System using Queuing Model with Correlated Task Reneging. Journal of Physics: Conference Series, Vol. 2091, Issue 1, pp. 012003. DOI: 10.1088/1742-6596/2091/1/012003.
7. Kumar R. and Sharma, S. (2021). Transient analysis of a Markovian queuing model with multiple-heterogeneous servers’ and customers’ impatience, Opsearch, Vol. 58, 540-556. [SCOPUS, WOS I. F.=1.6]. ISSN: 0030-3887.
8. Kumar R., Soodan, B. S. and Sharma, S. (2021). Modelling health care queue management system facing patients’ impatience using queuing theory, Reliability: Theory and Applications , Vol. 16, No. 1, 161-165. [SCOPUS]. ISSN: 1932-2321.
9. Amrita Agrawal, Deepika Garg, Arun Kumar and Rakesh Kumar (2021). Performance Analysis of the Water Treatment Reverse Osmosis Plant, Reliability: Theory and Applications, Vol. 16, No. 3, 16-25. [SCOPUS]. ISSN: 1932-2321.
10. Tripti Dahiya, Deepika Garg, Sarita Devi and Rakesh Kumar (2021). Reliability Optimization Using Heuristic Algorithm In Pharmaceutical Plant, Reliability: Theory and Applications , Vol. 16, No. 3, 195-205. [SCOPUS]. ISSN: 1932-2321.
11. Kuaban, G. S., Kumar, R., Soodan, B. S. and Czekalski, P. (2020). A multi-server queuing model with balking and correlated reneging with application in health care management. IEEE Access, Vol. 8, 169623-169639. [SCIE, WOS I.F.=3.367]. ISSN: 2169-3536.
12. Kumar, R. and Soodan, B. S. (2020). Transient Solution of a Single Server Queuing Model with Correlated Reneging using Runge-Kutta Method, International Journal of Mathematical, Engineering and Management Sciences, 5(5), 886-896. [SCOPUS, WOS I.F. = 1.6]. ISSN: 2455-7749.
13. Suranga Sampath, M. I. G., Kumar, R., Soodan, B.S., Liu, J., Sharma, S. (2020). A Matrix Method for Transient Solution of an M/M/2/N Queuing System with Heterogeneous Servers and Retention of Reneging Customers, Reliability: Theory and Applications, Vol. 15, No.4, 128-137. [SCOPUS]. ISSN: 1932-2321.
14. Vijaya Laxmi, P., Girija Bhavani , E. and Kumar, R. (2020). Correlated Reneging in an Optional Service Markovian Queue With Working Vacations, Reliability: Theory and Applications, Vol. 15, No.4, 102-116. [SCOPUS]. ISSN: 1932-2321.
15. Kumar, R., Sharma, S., Soodan, B. S., Vijaya Laxmi, P. and Som, B. K. (2020). Transient Solution of a Heterogeneous Queuing System with Balking and Catastrophes, Reliability (Theory and Applications), Vol.15, No. 1,42-50. [SCOPUS]. ISSN: 1932-2321.
16. Kumar, R., Sharma, S. and Ammar, S.I. (2019). Transient and steady-state analysis of a queuing system having customers’ impatience with threshold, RAIRO Operations Research, Vol. 53, No. 5, 1861-1876. [SCIE, WOS I.F.= 1.8]. ISSN: 2804-7303.
17. Kumar, R., Sharma, S. (2019). Transient Solution of a Two-Heterogeneous Servers’ Queuing System with Retention of Reneging Customers, Bulletin of the Malaysian Mathematical Sciences Society, Vol.42, No.1, 223–240. [SCIE, WOS I.F.= 1.2]. ISSN: 0126-6705.
18. Kumar, R. and Sharma, S. (2019) Transient analysis of an M/M/c queuing system with retention of reneging customers, International Journal of Operational Research, Vol. 36, No.1, 78-91. [SCOPUS]. ISSN: 1745-7645.
19. Kumar, R. and Soodan, B. S. (2019). Transient Analysis of a Single-Server Queuing System with Correlated Inputs and Reneging, Reliability (Theory and Applications), Vol.14, No. 1, 102-106. [SCOPUS]. ISSN: 1932-2321.
20. Kumar, R. and Soodan, B. S. (2019). Transient numerical analysis of a queueing model with correlated reneging, balking and feedback. Reliability (Theory & Applications), 14 (4), 46-54. [SCOPUS]. ISSN: 1932-2321.
21. Kumar, R. and Sharma, S. (2018). Transient analysis of an M/M/c queuing system with balking and retention of reneging customers, Communications in Statistics-Theory and Methods, Vol.48, No. 6, 1318-1327. [SCIE, WOS I.F.=0.8]. ISSN: 0361-0926.
22. Kumar, R. and Sharma, S. (2018) Transient performance analysis of a single server queuing model with retention of reneging customers, Yugoslav Journal of Operations Research, Vol. 28, No. 3, 315-331. [SCOPUS]. ISSN: 0354-0243.
23. Som, B. K. and Kumar, R. (2018). A heterogeneous queuing system with reverse balking and reneging, Journal of Industrial and Production Engineering, Vol.35, No. 1, 1-5. [SCOPUS, ESCI, WOS I.F. = 4.5]. ISSN: 2168-1015.
24. Kumar, R. (2017). A transient solution to the M/M/c queuing model equation with balking and catastrophes, Croatian Operational Research Review, Vol. 8, No.2, 577-591. [SCOPUS]. ISSN: 18480225.
25. Kumar, R. and Sharma, S. (2017). Time-Dependent Analysis of a Single-Server Queuing Model with Discouraged Arrivals and Retention of Reneging Customers, Reliability (Theory and Applications) Vol. 12, No. 4, 84-90. [SCOPUS]. ISSN:1932-2321.
26. Dharmaraja, S. and Kumar, R. (2015). Transient Solution of a Markovian Queuing Model with Heterogeneous Servers and Catastrophes, Opsearch, Vol. 52, No.4, 810-826. [SCOPUS, WOS I. F.=1.6]. ISSN: 0030-3887.
27. Kumar, R., Som, B. K. and Jain, S. (2015). AN M/M/1/N Feedback Queuing System with Reverse Balking, Journal of Reliability and Statistical Studies, Vol. 8, No.1, (2015) 31-38. [ESCI, SCOPUS, WOS JCI=0.4] ISSN: 0974-8024.
28. Kumar, R. and Sharma, S.K. (2014). A Markovian multi-server queuing model with retention of reneged customers and balking, International Journal of Operational Research, Vol. 20, No. 4, 427–438. [SCOPUS]. ISSN: 745-7645.
    48.
29. Kumar, R. and Sharma, S.K. (2014). A single-server Markovian Queuing system with discouraged arrivals and retention of reneged customers, Yugoslav Journal of Operations Research, Vol. 24, No. 1, 119-126. [SCOPUS]. ISSN: 0354-0243.
30. Kumar, R., Jain, N. K. and Som, B.K. (2014). Optimization of M/M/1/N Feedback Queue with Retention of Reneged Customers, Operations Research and Decisions, Vol 24, No.3, 45-58. [SCOPUS, ESCI, WOS I.F. = 0.4]. ISSN: 2391-6060.
31. Kumar, R. (2013). Economic analysis of an M/M/c/N queuing model with balking, reneging and retention of reneged customers, Opsearch, Vol. 50, No. 3, 383-403. [SCOPUS, WOS I. F. = 1.6]. ISSN: 0030-3887.
32. Kumar, R. and Sharma, S.K. (2013). An M/M/c/N queuing system with reneging and retention of reneged customers, International Journal of Operational Research, Vol. 17, No. 3, 333-344. [SCOPUS]. ISSN:1745-7645.
33. Kumar, R. and Sharma, S.K. (2013). Economic analysis of M/M/c/N queue with retention of impatient customers, International Journal of Mathematics in Operational Research, Vol. 5, No. 6, 709-720. [SCOPUS]. ISSN :1757-5850.
34. Kumar, R., Som, B. K., Sharma, S.K., and Jain, S. (2013). Profit Optimization in Insurance Business Facing Customer Impatience, Global Journal of Pure and Applied Mathematics, Vol. 9, No. 1, 25-34. [SCOPUS].
35. Kumar, R. (2012). A Catastrophic-cum-restorative queuing problem with correlated input and impatient customers, International Journal of Agile Systems and Management, Vol.5, No.1, 122-131. [SCOPUS]. ISSN:1741-9174.
36. Kumar, R. and Sharma, S.K. (2012). Queuing with Reneging, Balking and Retention of Reneged Customers, International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 6, No. 7, 819-828. [SCOPUS]. ISSN:19980140.
37. Rakesh Kumar (2012). A catastrophic-cum-restorative queuing system with correlated batch arrivals and general service time distribution, Pakistan Journal of Statistics and Operation Research, Vol. 8, No. 1, 43-53. [SCOPUS, ESCI, WOS JCI= 0.69]. ISSN: 1816 2711.
38. Kumar, R. and Sharma, S.K. (2012). M/M/1/N queuing system with retention of reneged customers, Pakistan Journal of Statistics and Operation Research, Vol. 8, No. 4, 859-866. [SCOPUS, ESCI, WOS JCI= 0.69]. ISSN: 1816 2711.
39. Kumar, R. (2010). Transient solution of a catastrophic-cum-restorative M/M/2 queue with heterogeneous servers, Pakistan Journal of Statistics, Vol. 26, No.4, 609-613. [SCOPUS]. ISSN:10129367.
40. Kumar, R. (2008). A catastrophic-cum-restorative queuing system with correlated batch arrivals and variable capacity, Pakistan Journal of Statistics and Operation Research, Vol.4, No.2, 55-62. [SCOPUS, ESCI]. ISSN: 1816 2711.
41. Jain, N. K. and Kumar, R. (2007). Transient solution of a catastrophic-cum- restorative queuing problem with correlated arrivals and variable service capacity, International Journal of Information and Management Sciences, Vol. 18, No.4, 461-465. [SCOPUS]. ISSN: 10171819.
42. Jain, N. K. and Kumar, R. (2005). Transient Solution of a Correlated Queueing Problem with Variable Capacity and Catastrophes, International Journal of Information and Management Sciences, Volume 16, Number 4, 39-47. [SCOPUS]. ISSN: 10171819.

1. Kumar, R., Sharma, S. and Singh, P. (2023). A Queuing Model for Computer-Communication Network Under Catastrophic Events and Retransmission of Dropped Packets,” 2023 7th International Conference on Information, Control, and Communication Technologies (ICCT), Astrakhan, Russian Federation, 2023, pp. 1-4, doi: 10.1109/ICCT58878.2023.10347116.
2. Kumar, R. and Soodan, B. S. “Modelling and Analysis of Cloud Computing Systems using Queuing Models with Correlated Arrivals and Correlated Reneging,” 2022 International Conference on Information, Control, and Communication Technologies (ICCT), Astrakhan, Russian Federation, 2022, pp.1-5, DOI: 10.1109/ICCT56057.2022.9976500.
3. Kuaban, G. S., Soodan, B. S., Kumar, R. and Czekalski, P., “A Queueing-theoretic Analysis of the Performance of a Cloud Computing Infrastructure: Accounting for Task Reneging or Dropping,” 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME), Maldives, Maldives, 2022, pp. 1-7, doi: 10.1109/ICECCME55909.2022.9988250. Publisher: IEEE.
4. Kuaban, G. S., Soodan, B. S., Kumar, R., and Czekalski, P. (2021). Analysis of the Performance of a Cloud Computing Processing Queue with Correlated Reneging of Tasks and Resubmission, Proceedings of the International Conference on Electrical, Computer and Energy Technologies (ICECET), Cape Town, South Africa, 2021, pp. 1-8, doi: 10.1109/ICECET52533.2021.9698583. ISBN: 978-1-6654-4232-9. Publisher: IEEE.
5. Kumar, R., and Sharma, S. (2017). Transient analysis of a multi-server queuing model with discouraged arrivals and retention of reneging customers, Proceedings of the International Conference on Analytical and Computational Methods in Probability Theory and its Applications, Russia during 23-27 October, 2017, pp 700-704.
6. Kumar, R., and Sharma, S. (2017)., Transient numerical analysis of a single server Markovian queuing system with discouraged arrivals and retention of reneging customers, Proceedings of the 5th Annual International Conference of GSTF on Operations Research and Statistics, Singapore during 6-7 March, 2017, pp 132-136.
7. Kumar, R. and Sharma, S. K. (2014). A queuing model for performance analysis of an insurance business facing pre-mature surrenders of policies, Proceedings of National Conference on Business Dynamics: Contemporary Issues and Challenges at Management School, Kathua Campus, University of Jammu, (March 21-22, 2014), pp50-58.
8. Kumar, R. (2013). Optimization of a Single-server Finite Capacity Markovian Queueing System with Retention of Reneged Customers, Proceedings of National Conference of advances in Mathematics and its applications, NIT Hamirpur, (25-27 June, 2013), pp 317-320.

BOOKS:

1. Title: Non-Markovian Queues with Catastrophe and Restoration
Author: Rakesh Kumar
Publisher: Lap- Lambert Academic Publishing (Germany)
Year of Publication: 2013
ISBN-10 ‏ : ‎ 3659328952
ISBN-13 ‏ : ‎ 978-3659328954
2. Title: Transient Study of Queues with Impatience and Retention
Authors: Sapana Sharma and Rakesh Kumar
Publisher: Lap- Lambert Academic Publishing (Germany)
Year of Publication: 2022
ISBN-10 ‏ : ‎ 6204982834
ISBN-13 ‏ : ‎ 978-6204982830
3. Title: Advances in Queuing Theory and Applications (Special Issue)
Name of Editor: Rakesh Kumar
Journal Name: American Journal of Operational Research (USA)
Volume 3A
Year: 2013
Print ISSN: 2324-6537, e-ISSN: 2324-6545.
4. Title: Queuing and Reliability Models with their Applications (Special Issue)
Names of Editors: Pawan Kumar and Rakesh Kumar
Journal Name: Reliability-Theory and Applications (USA)
Volume 14
Year : 2019
e-ISSN: 1932-2321.
5. Title: Proceedings of the 1st International Conference on Mathematical and Statistical Sciences (ICMSS-1) organized by the Department of Mathematics, Statistics and Actuarial Science, Namibia University of Science and Technology, Namibia from 3-4 July, 2023. (Conference Proceedings)
Names of Editors: Sunday A. Reju and Rakesh Kumar
Year: 2023
ISBN: 978-99916-55-80-2

Book Chapters:

1. Suranga Sampath, MIG, Kalidass, K., Liu, J., Kumar, R., and Som, B. K. (2024). Impatient customers on an M/M/1 queueing system subjected to differentiated vacations, Chapter 8, Pages:27. Book: Statistical Modeling and Applications on Real-Time Problems, CRC Press. ISBN: 9781003356653
2. Som, B. K., Kumar, R., Kalidass, K., and Suranga Sampath, MIG (2024). A Single-server feedback queuing system with Encouraged Arrivals Customers’ Impatience, and Catastrophe, Chapter 9, Pages: 11. Book: Statistical Modeling and Applications on Real-Time Problems, CRC Press. ISBN: 9781003481263.
3. Kumar, R., Sharma, S. and Soodan, B.S. (2023). Multi-server queuing system with feedback and retention. Published in the Book: Applications of Mathematical Modelling, Machine Learning, and Intelligent Computing for Industrial Development, CRC Press, Chapter: 5, Page: 15. eBook ISBN: 9781003386599, DOI: 10.1201/9781003386599-6. 
4. Kumar, R., Som, B. K., Kalidass, K. and Suranga Sampath, M. I. G. (2023). Queuing system with customers’ impatience, retention, and feedback. Published in the Book: Applications of Mathematical Modelling, Machine Learning, and Intelligent Computing for Industrial Development, CRC Press, Chapter:3, Pages: 11. eBook ISBN: 9781003386599, DOI:10.1201/9781003386599-4. 
5. Kuaban G.S., Soodan B.S., Kumar, R., Czekalski P. (2020). Performance Evaluations of a Cloud Computing Physical Machine with Task Reneging and Task Resubmission (Feedback). In: Gaj P., Gumiński W., Kwiecień A. (eds) Computer Networks. CN 2020. Communications in Computer and Information Science, vol 1231. Springer, Cham. https://doi.org/10.1007/978-3-030-50719-0_14 [Scopus]
6. Kumar, R., Sharma, S., Rykov, V. (2019). Transient Solution of a Heterogeneous Queuing System with Balking and Retention of Reneging Customers. In: Gaj, P., Sawicki, M., Kwiecień, A. (eds) Computer Networks. CN 2019. Communications in Computer and Information Science, vol 1039. Springer, Cham. https://doi.org/10.1007/978-3-030-21952-9_25.
7. Kumar, R., Sharma, S. and Bura, G. S. (2019). Transient and steady-state behavior of a two heterogeneous servers’ queuing system with baking and retention of reneging customers, K. Deep et al. (eds) Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models, Asset Analytics, http://doi.org/10.1007/98-981-13-085-4_19. Chapter 19, ISBN: 978-981-13-0857-4.(Springer).
8. Kumar, R. and Som, B. K. (2017). An M/M/c/N Feedback Queuing Model with Reverse Balking and Reneging. In: Manchanda P., Lozi R., Siddiqi A. (eds.) Industrial Mathematics and Complex Systems. Industrial and Applied Mathematics, (2017) pp 259-269, Chapter 18, ISBN: 978-981-10-3757-3 (Springer).
9. Kumar, R., and Sharma, S. (2017). Transient Analysis of a Multi-server Queuing Model with Discouraged Arrivals and Retention of Reneging Customers. In: Rykov, V., Singpurwalla, N., Zubkov, A. (eds) Analytical and Computational Methods in Probability Theory. ACMPT 2017. Lecture Notes in Computer Science, vol 10684, 54-64. Springer, Cham. https://doi.org/10.1007/978-3-319-71504-9_6. [SCOPUS]. ISBN: 978-3-319-71503-2
10. Kumar, R., Performance Analysis of a Markovian Queuing System with Reneging and Retention of Reneged Customers, Stochastic Processes and Models in Operations Research, Chapter 6, ISBN13: 9781522500445. (2016), pp. 97-105, IGI Global (USA).

• Ph.D. Students Supervised

  • Supervised 4 Ph.D. candidates in the area of Queuing Theory at School of Mathematics, Shri Mata Vaishno Devi University (2009–Present)

  • Supervising 3 Ph.D. candidates in the areas of Queuing Theory, Applied Sampling Theory, and Hydrological Modelling at Department of Mathematics, Statistics and Actuarial Science, Namibia University of Science and Technology (2022–Present)
• Master’s Thesis Advisor      
  • Supervised 16 Minor Projects of M. Sc. Mathematics students at School of Mathematics, Shri Mata Vaishno Devi University (2009–Present)
  • Supervising 1 M. Sc. Mathematics candidate in the areas of Queuing Theory at Department of Mathematics, Statistics and Actuarial Science, Namibia University of Science and Technology (2022–Present)

1. Coordinator, Mathematics and Member-Fundraising Committee, 32nd Annual Conference of the South African Association for Research in Mathematics, Science and Technology Education (SAARMSTE) during 16-18 January, 2024 at International University of Management, Windhoek, Namibia.
2. Co-Chair, 1st International Conference on Mathematical and Statistical Sciences, July 3-4, 2023 at Namibia University of Science and Technology.
3. Panel Co-Chair (online) during International conference on Science, Engineering Management and Information Technology (SEMIT 2023) held on 14-15 September 2023 in Ankara, Turkey.
4. Panel Chair (online) in an International Conference on Optimization and Data Science in Industrial Engineering (November 16-17, Istanbul, Turkey.
5. Program Committee Member, International Conference on Data Science, Machine Learning and Artificial Intelligence, Namibia University of Science and Technology, Namibia during August 9-12, 2021 (https://dsmlai.nust.na/committee).
6. Program Committee Member, International workshop on Small and Big Data Approaches in Healthcare, November 1-4, 2021 at Leuven, Belgium (http://science.lpnu.ua/sbdah2021/program-committee).
7. 12. Program Committee Member, 28th International Science Conference on Computer Networks-CN 2021, Poland ( https://easychair.org/cfp/cn2021).
8. Organizing Committee Member of Online International Conference on Mathematical Sciences and Computational Intelligence 21st -22nd December, 2020. (https://www.smvdu.ac.in/images/stories/pdf/events/2020/november/7112020_Conference Brochure.pdf)
9. Program Committee Member, 27th International Science Conference on Computer Networks – CN 2020, Poland.
10. Program Committee Member, 4th International Conference on Mathematical Techniques in Engineering Applications (ICMTEA-2020), Dehradun, India. (http://icmtea.in/organizingteam.php).
11. Program Committee Member, 1st International Workshop on Digital Content & Smart Multimedia, at Lviv Polytechnic National University, Lviv, Ukraine during December 23 – 25, 2019 (http://science.lpnu.ua/dcsmart-2019).
12. Organizing Committee Member of 4th National Conference on Recent Trends in Mathematical Sciences in association with International Academy of Physical Sciences during 13-14 December, 2019 at School of Mathematics, Shri Mata Vaishno Devi University, Katra,India. (https://www.smvdu.ac.in/images/stories/pdf/events/2019/dec2019/25112019_Mathsconf Brouchure.pdf)
13. Program Committee Member, 8th Annual International Conference on Computational Mathematics, Statistics and Operational Research (CMSOR 2019) at Singapore during 8-9April, 2019. (http://mathsstat.org/committee/)
14. Steering Committee Member, Two weeks Refresher Course on Introduction to MATLAB and Research Enhancement Tools at SECE in collaboration with HRDC, SMVDU, Katra (2018). (https://www.smvdu.ac.in/index.php/latest-news/113- 2018/october/810-smvdu-organises-refresher-course-on-matlab-research-tools)
15.  Program Committee Member, 84th Annual Conference of Indian Mathematical Society, Shri Mata Vaishno Devi University, India, 27-30 November, 2018.
    (https://www.smvdu.ac.in/index.php/event-march-2017/104-november/644-84th-annual- conference-of-indian-mathematical-society).
16. Program Committee Member, GSTF Conference on Operations Research and Statistics, Singapore, 2018 (http://mathsstat.org/committee/).
17. Organizing Committee Member of National Conferenceon Algebra, Analysis and Applications during 7-8 March, 2017 at Department of Mathematics, SMVDU, Katra.
18. Organizing Secretary of the 3rd National Conference on Recent Trends in Mathematical Sciences (9-10 February, 2017) at Department of Mathematics, SMVDU, Katra.
19. Organizing Secretary of a National Conference on Recent Trends in Mathematical Sciences (October 8-9, 2015) at School of Mathematics, SMVDU, Katra.

1. Delivered a Keynote lecture (online) on Applications of Queuing Models with Correlated Reneging at the 7th International Scientific Conference on Information, Control and Communication Technologies (ICCT 2023) during October 2-6, 2023, Astrakhan, Russian Federation.
2. Delivered a Keynote lecture (online) on Queuing Models for Cloud Computing in the 1st International Symposium on Celebrating the Contributions of Ramanujan in Mathematics at Amity University-Uttar Pradesh, Noida, India.
3. Delivered a Keynote lecture (online) on Queuing Theory and its applications-some research directions in an International Seminar on the works of Srinivasa Ramanujan and their applications in Science and Engineering on 22 December 2023 at Border Security Force, Rustam Ji Institute of Technology, Tekanpur, Gwalior, India.
4. Delivered an invited talk (online) on Performance Analysis of Cloud Computing using Queuing Models in an International Conference on Statistics, Data Science and Reliability: Exploring Trends, Methods and Applications during 24-26 December, 2023, MD University, Rohtak India.
5. Delivered an invited talk (online) on Career Opportunities in Mathematical Sciences at Central University of Himachal Pradesh during the National Mathematics Day celebration on 22 December 2023.
6. Delivered an invited talk (online) on Mathematics and Society at Central University of Himachal Pradesh (CUH) during the Foundation Week of CUH on 25 January, 2023.
7. Delivered an invited talk on Latest developments in Queuing theory with customer impatience in an Online International Workshop on System Modelling and Artificial Intelligence (SMAI-2021) during July 26-30, 2021 at Manipal University, Jaipur, India.
8. Acted as a Resource Person in an Online International Webinar On Mathematical Science &Technology: Latest Applications on July3, 2021 at GGN Institute of Management & Technology, Ludhiana, India
9. Acted as a keynote speaker in a Student Seminar on National Science Day on 28-02-2021 organized by Department of Mathematics, Cluster University of Jammu, India and delivered a keynote address on “Applications and Job Opportunities in Mathematics”.
10. Delivered an invited talk on Applications of Queuing Theory in Cloud Computing in online international webinar on Applications of Queuing Theory on February 6, 2021 at Department of Business Management, GGNIMT, Ludhiana, India.
11. Delivered an invited talk on Applications of Queuing Theory in an International Conference on Recent Advances in Computational Mathematics and Engineering during 19-21 March, 2021 at Department of Applied Sciences and Humanities, BK Birla Institute of Engineering and Technology, Pilani, India.
12. Delivered an invited talk on Applications of Queuing Theory in Health care in an International Conference on Analysis and Applications organized by Nepal Mathematical Society in collaboration with the Central Department of Mathematics, Tribhuvan University; South Asian University, New Delhi, India; Association of Nepalese Mathematicians in American; Department of Mathematics, Valmeeki Campus, Nepal Sanskriti University during April 9-11, 2021.
13. Delivered an invited talk on Advancements and Applications of Queuing Models with Retention of Reneging Customers, in a Virtual International Conference on Emerging Trends in Engineering, Science, Management and Commerce during May 21-22, 2021 at the Department of Electronics and Communication Engineering, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India.
14. Delivered an invited talk on Queuing Models with Reverse Balking in an online International Conference on Recent Trends in Science, Humanities and Engineering during 18-19 June, 2021 at SGBP College, Nawalgarh, Rajasthan, India.

15. Delivered a Plenary talk on Queuing Systems with Customers’ Impatience and Retention in the 11th International conference on Operations Research for Sustainable Development, February 1-2, 2020 at Janapriya Multiple Campus, Pokhara, Nepal.

16. Acted as a resource person in the One Week International Faculty Development Program on “Real, Applied and Computational Mathematics” at PRDS College, Kerala, affiliated to MG University, India and delivered an invited talk (online) on “Role of Queuing Theory in Cloud Computing” on 28th August, 2020.
17. Acted as a resource person in the One Week International FDP on ” Application and implements of mathematics” at Hindustan College of Engineering and Technology, Coimbatore on 22nd August, 2020 and delivered an invited lecture (Online) on ‘Queuing models with reverse balking and their extensions’.
18. Acted as a resource person in a national level one day workshop (webinar) and delivered an invited talk on ‘Queuing with retention of impatient customers’ at department of science and humanities, Hindustan College of Engineering and Technology (Affiliated to Anna University Chennai) on 12th June, 2020.
19. Delivered an invited talk on Transient Analysis of Queuing Models in a National Workshop on Applications of Analysis, at Department of Mathematics, University of Jammu, India during 24-28 February, 2020.
20. Delivered an invited talk on Transient Solutions of Queuing Models in the 4th National Conference on Recent Trends in Mathematical Sciences in association with International Academy of Physical Sciences during 13-14 December, 2019 at School of Mathematics, Shri Mata Vaishno Devi University, Katra, India.
21. Delivered an invited talk on Mathematical Models and Applications of Queuing Systems in an International conference on Mathematics in Space and Applied Sciences during 29-30 November, 2019 at Department of Mathematics, NSCBM Government Degree College, Hamirpur, H. P., India.
22. Delivered an invited talk on Mathematical Modeling of Queuing Systems in National Mathematics Research Scholar Meet at Department of Mathematics, University of Jammu, India during 20-22 August, 2019.
23. Delivered an invited talk on Basic Statistics-II in the FDP on Marketing Research & Business Analytics with Econometric Applications in Business Management at School of Business, Shri Mata Vaishno Devi University, Katra during 6-17 May, 2019.
24. Delivered an invited talk on Queuing Models with Retention of Impatient Customers’ in an international conference on Recent Inventions and Innovations in Mathematical Sciences at the Department of Applied Mathematics, Andhra University, Visakhapatnam during 28th February, 2019 to 1st March, 2019.
25. Delivered 09 lectures on Operations Research as a resource person in the Department of Mathematics, Central University of Himachal Pradesh in the workshop mode from 15th to 17th February, 2019.
26. Delivered two lectures on Introduction to Operations Research and its Applications in the Refresher Course in Mathematical Sciences organized by Department of Statistics, University of Jammu in collaboration with H.R.D.C University of Jammu on
13thFebruary, 2019.
27. Delivered an invited talk on Data Interpretation in Research Methodology in the TEQIP- III funded two week refresher course on Introduction to MATLAB and Research Enhancement Tools at SECE in collaboration with H.R.D.C. (S.M.V.D.U., Katra) during 13-22 July, 2018.
28. Delivered an invited talk on Getting Familiar with Operations Research in a National Seminar on Recent Advances in Complex Analysis and Operator Theory and 27th Annual Conference of the Jammu Mathematical Society at University of Jammu, February 15-17, 2018.
29. Delivered an invited talk on Recent Developments in Queuing Systems with customers’ Impatience in two-days National Conference on Mathematical Sciences and its Applications organized by the GGMSC, Jammu during 19-20 January, 2018.
30. Delivered two lectures in 1Week Faculty Development Program on Research Methodology at H.R.D.C. (S.M.V.D.U., Katra) during 4-8 December, 2017.
31. Delivered an invited talk on Applications of Queuing Systems with customers’ Impatience in 27th international conference of Forum for Interdisciplinary Mathematics in conjunction with the 3rd convention of IARS on Interdisciplinary Mathematics, Statistics, and Computational Techniques during 2-4 November, 2018 at the Department of Statistics, University of Jammu.
32. Delivered an invited talk on Role of Differential Equations in Mathematical Modelling in a National Seminar on Recent Advances in Differential Equations and their Applications during 3-4 February, 2017 at Department of Mathematics, Meenakshi College for Women, Chennai.
33. Delivered an invited talk on Modelling Queues with Customers’ Impatience in National Conference on Advances in Mathematical Sciences during 21-22 December, 2016 at Department of Mathematics, NSCBM Government Degree College, Hamirpur, H. P.
34. Delivered an invited talk on Recent Advances in Queuing Modelling with Customers’ impatience in National Seminar on Recent Advances in Mathematics and its Computational Aspects during 11-12 November, 2016 at Department of Mathematics, SMP Government Girls P.G. College, Meerut, U.P.
35. Delivered an invited talk on Queuing Systems with Customers’ Impatience-Recent Extensions in Silver Jubilee Conference of the Jammu Mathematical Society and a National Seminar on Recent Developments in Complex Analysis, Operator Theory and Related Areas during 20-22 October, 2016 at Department of Mathematics, University of Jammu, Jammu.

• Worked as a Professor (Statistics) at the Department of Mathematics, Statistics and Actuarial Science, Namibia University of Science and Technology, Namibia (February, 2021- May, 2024)
• Visited countries like Singapore, Russia, UK, Poland, Nepal and Namibia for attending international conferences 

1. Best Researcher of the Year Award (2023) in the Faculty of Health, Natural Resources and Applied Sciences, Namibia University of Science and Technology.
2. Mathematical Sciences Top Scientist in Namibia (AD Scientific index-2023) (https://www.adscientificindex.com/scientist/rakesh-kumar/4109742) – Certificate link
3. Awarded Certificate of Official Distinction of 26th International Science Conference on Computer Networks for the research paper, “Transient Solution of a Heterogeneous Queuing System with Balking and Retention of Reneging Customers” in the 26th International Science Conference on Computer Networks (CN 2019) at Poland during June 25-27, 2019.
4. Received Faculty Performance Linked Award @10% of the basic pay per month for the excellence in teaching and research during the academic year (July1, 2018 to June 30, 2019) w. e. f. July1, 2019 for a period of one year from Shri Mata Vaishno Devi University, Katra, India.

5. Received Faculty Performance Linked Award @10% of the basic pay per month for the excellence in teaching and research during the academic year (July1, 2017 to June 30, 2018) w. e. f. July1, 2018 for a period of one year from Shri Mata Vaishno Devi University, Katra, India.

6. Summer Faculty Research Fellowship by Indian Institute of Technology-Delhi, India for research in queuing theory during June-July, 2012.
7. University Medal for standing First-Class-First in M.Sc. Statistics, Kurukshetra, University, Kurukshetra, India in 2003.
8. University Research Scholarship for doing Ph.D. in Statistics from Kurukshetra, University, Kurukshetra, India on 18th February, 2003.

9. Reviewer of the journal: Mathematical Reviews, Publisher: American Mathematical Society, USA [Print ISSN: 0025-5629].
10. Editorial Board Member of American Journal of Operational Research ((USA) [Print ISSN: 2324-6537, e-ISSN: 2324-6545], Publisher: Scientific and Academic Publishing.
11. Guest Editor of a Special issue on “Advances in Queuing theory and its applications”
published in the journal, American Journal of Operational Research, USA (2013) [Print ISSN: 2324-6537, e-ISSN: 2324-6545]. Publisher: Scientific and Academic Publishing.

12. Guest Editor of a Special issue on “Queuing and Reliability Models with their Applications” published in the journal, Reliability: Theory and Applications, USA (2019) [ISSN 1932-2321], Publisher: Gnedenko Forum.
13. Editorial Board Member of Mathematical Journal of Interdisciplinary Sciences [Print ISSN: 2278-9561, e-ISSN: 2278-957X], Publisher: Chitkara University.
14. Advisory Board Member, Scientific Journal for Damietta Faculty of Science [Print ISSN: 2314-8594, e-ISSN 2314-8616], Publisher: Damietta University, Faculty of Science.
15. Editorial Board Member, Modern Management Forum [Print ISSN: 2424-8444], Publisher: Universe Scientific Publishing.

1. Queuing Theory                                            Course Plan: QT_course_plan                       Course Material
2. Linear Programming and Game Theory     Course Plan: Lpp_gt_plan              Course Material
3. Probability and Statistics                          Course Plan: prob n stats plan               Course Material