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Dr. Mahesh Kumar
Dr. Mahesh Kumar
Associate Professor
Office Address:
Associate Professor, Department of Mathematics, 1st Floor, Room # 212, New Building, East Campus, National Institute of Technology (NIT) Calicut, 673 601 India.
B.Sc. (Computer Science)-Mangalore University.
M.Sc. (Mathematics)-Mangalore University.
Ph.D. (Applied Statistics) -Indian Institute of Technology, Bombay (IITB).
Journals
Some Important Publications (List of papers published/under review in Q1/SCI/ Scopus/Web of Science Journals in year wise descending order).
6. Sruthi K and M. Kumar (2023). Reliability estimation of parallel repairable system under uncertainty in life time data, Stochastic and quality control 38(1), 1-9.
10. A. M. Mathai and M. Kumar (2023). Some inferences on mixture of exponential and Rayleigh distributions based on fuzzy data, International Journal of Quality and Reliability Management. https://doi.org/10.1108/IJQRM-10-2022-0300
14. T. Tamil Selvan, M. Kumar (2023), Dynamics of a deterministic and a stochastic epidemic model combined with two distinct transmission mechanisms and saturated incidence rate , Physica A: Statistical Mechanics and its Applications, 2023, 128741, ISSN 0378-4371, https://doi.org/10.1016/j.physa.2023.128741. (WoS- SCIE indexed (Q2)).
15. T. Tamil Selvan, M. Kumar (2023), Analysis of a stochastic epidemic model driven by bilinear incidence rate with two di erent transmission mechanisms , The Journal of Analysis, 2023, https://doi.org/10.1007/s41478-023-00665-5. (WoS- ESCI indexed).
16. T. Tamil Selvan, M. Kumar (2024), Dynamics of a variable perturbed double epidemic stochastic model with saturated incidence rates , Mathematical Methods in the Applied Sciences. (Under Review). (WoS- SCIE indexed)-To appear.
17. T. Tamil Selvan, M. Kumar (2024), Dynamics of Levy jump driven stochastic double epidemic model with saturated incidence rates involving SIR and SIRS transmission mechanisms , Communica tions in Nonlinear Science and Numerical Simulation (Editor invite) (WoS- SCIE indexed)-To appear.
18. T. Tamil Selvan, M. Kumar (2024), Stochastic dynamics of an epidemic model driven by Levy jumps with two distinct transmission mechanisms , Nonlinear Dynamics. (Submitted). (WoS- SCIE indexed).
25. M. Kumar & P. C. Ramyamol (2022) Construction of minimum cost reliability acceptance sampling plans for multistage process, Journal of Industrial and Production Engineering, 39:5, 353 364, DOI: 10.1080/21681015.2021.1992801.
26. Siju K C and M. Kumar (2020). Classical and Bayesian Estimation of Stress strength reliability Of a Component Having Multiple State, International Journal of Quality and Reliability Management, DOI 10.1108/IJQRM-01-202 0-0009.
27. Siju K C and M. Kumar (2020). System Reliability Computation and Estimation based on Cumulative Damage Threshold Shock Model, International Journal of Quality and Reliability Management, DOI 10.1108/IJQRM-11-201 8-0309
28. M. Kumar, P N Bajeel, O P Yadav, and K C Siju (2020). Application of degradation growth model in the estimation of Bayesian system reliability. Communications in Statistics- Simulation and Computation, DOI: 10.1080/03610918.202 0.1828919.
29. M.Kumar and P C Ramyamol (2020). Optimal reliability acceptance sampling plan based on accelerated life test data, Int. J. Productivity and Quality Management, Vol. 30, No. 3, 2020
30. Ramyamol P C and M. Kumar (2019) Optimal design of acceptance sampling plans for mixture distribution, Journal of Applied Statistics, htt ps://doi.org/10.1080/02664763.2019.1610162 . (2019)(Taylor and Fransis).
31. Siju K C and M. Kumar (2019). Statistical inference of stress-strength reliability of a parallel system with mixed standby components. International Journal of Reliability, Quality and Safety Engineering Vol. 26, No. 6.
32. M. Kumar, P N Bajeel, and Ramyamol (2019). Optimal design Of reliability Acceptance Sampling plan Based on data Obtained from Partially Accelerated Life test (PALT), International Journal of Reliability, Quality and Safety Engineering 2040002 (21 pages), World Scientific Publishing Company DOI: 10.1142/S0218539320 400021.
33. Siju K C and M.Kumar (2018). Bayesian estimation of reliability using time to-failure distribution of parametric degradation models, Journal of Statistical Computation and Simulation, DOI: 10.1080/00949655.2018.1445743.
34. M.Kumar and P N Bajeel (2017). Design of component reliability test plan for a series system having time dependent testing cost with the presence of covariates, Computational Statistics, ISSN 0943-4062 DOI 10.1007/s00180 017-0758-7.
35. Siju K C and M. Kumar (2017). Estimation of Stress-Strength Reliability of a Parallel System with Active, Warm and Cold Standby Components, Journal of Industrial and Production http://dx.doi.org/10.1080/21681015.2017.131498 Engineering, , 1-21.
36. Bajeel P N and M. Kumar (2017). Reliability Test Plan for a Series System with Variable failure rates, Int. Journal of Quality & Reliability Management. 34, 849-861.
37. Siju K C and M. Kumar (2017). Reliability Computation of a Dynamic Stress-Strength Model with Random Cycle Times. International Journal of Pure and Applied Mathematics Vol. 117 No. 12 2017, 309-316.
38. Siju K C and M.Kumar (2016). Reliability, availability estimation and cost analysis of series parallel systems in the presence of repair dependence function, Int. Journal of Reliability and Safety, Vol. 10, No. 1, 2016, pp. 48-71 (ISSN: 1479-389X).
39. Bajeel P N and M. Kumar (2016). Design of Optimal Bayesian Reliability Test Plans for a Series System, Int. Journal of Pure and Applied Mathematics, 109, 125-133.
40. M. Kumar and Ramyamol P C (2016). Design of optimal reliability acceptance sampling plans for exponential distribution, Journal of Economic Quality Control, Vol. 31, No.1, 23-36.
41. M. Kumar and P C Ramyamol (2019). Optimal design Of reliability Acceptance Sampling plan Based on Sequential Order Statistics, Stochastics and Quality Control 2019; aop
42. Siju K C and M.Kumar (2016). Reliability analysis of time dependent stress strength model with random cycle time (Elsevier, 2016), Perspective in Science, 654-657.
43. Bajeel P N and M. Kumar (2015). A component reliability test plan for parallel system with failure rate as exponential function of covariates, International Journal of Mathematics in Engineering Science and Aerospace, 6, 177-191.
44. Siju K C and M.Kumar (2015). Reliability measures and cost analysis of parallel systems with time dependent failure rates in the presence of failure dependence function, International Journal of Statistics and Reliability Engineering, 2, 41-58.
45. M. Kumar and Amrutha P (2013). An optimal design of reliability test plans for a parallel system using integer programming, International Journal of Engineering Research and Technology, 2, 631-641.
46. P. Vellaisamy and M. Kumar (2010). Design of optimal reliability test plans for a series system based on mixed- censoring, Journal of Applied Statistical Science, 17, 1-10.
47. P. Vellaisamy and M Kumar (2008). Optimal component test plans for a parallel system based on Type-II censoring, Statistical Methodology, 5, 454 462.
48. M. Kumar (2007). A study of Bayesian reliability test plans for a series system based on type-II censoring. Caledonian Journal of Engineering, 3, 1 10
Conferences
Papers Presented/published in National/International Conferences:
|
S. No. |
Title of the Paper |
Author(s) |
Name of the Conference |
Venue & Date |
|
1 |
Design of optimal reliability test plans for a series system in the presence of covariates. |
M. Kumar and P.N. Bajeel |
Proceedings of International conference on Advances in Applied Probability, Grapgh Theory and Fuzzy Mathematics. |
Jan 11-14 (ISBN: 978-93-5174-243-2) 2014, KOCHI. |
|
2 |
A component reliability test plans for a parallel system with failure rates as the exponential function of covariates. |
M. Kumar and P.N. Bajeel |
National conference on Recent trends and developments in statistics (NCRTDS). |
M.D UNIVERSITY ROHTAK, Feb 21-23, 2015. |
|
3 |
Reliability, availability estimation and cost analysis of parallel systems with time dependent failure rates in the presence of repair dependent function |
M. Kumar and Siju K C |
National conference on Recent trends and developments in statistics (NCRTDS) |
Feb 21-23, 2015, at M D UNIVERSITY ROHTAK, India |
|
4. |
Multistate system reliability, availability estimation and cost analysis in the presence of repair dependence function |
Siju K C and M. Kumar |
Proceedings of 3rd national conference on frontiers in applied sciences and computer technology (FACT 15) |
Vol 3, March 6-7, 2015, NIT TRICHY. |
|
5. |
Reliability acceptance sampling plan for exponential distribution based on time between successive failures |
M. Kumar and Ramyamol P C |
Proceedings of 3rd national conference on frontiers in applied sciences and computer technology (FACT 15) |
Vol 3, March 6-7, 2015, NIT TRICHY. |
|
6. |
The effect of the dependence classes of repair dependence function on the availability and reliability of an n component parallel system,. |
Siju K C and M. Kumar |
Proceedings of international conference on Advances in Applied Probability, Grapgh Theory and Fuzzy Mathematics |
Jan 11-14, 2014, (ISBN: 978-93-5174-243-2) KOCHI, Kerala, India. |
|
7 |
Zero failure Bayesian reliability for safety critical systems |
M. Kumar and Aby Subhash |
International Conference on Mathematical Sciences |
Dec 28-31, 2012, at NAGPUR, Maharashtra State, India. |
|
8 |
Optimal reliability test plan for a parallel system with covariate information
|
P. N. Bajeel and M. Kumar |
Proceedings of National Conference on Emerging Trends in Statistical Research: Issues and Challenges |
16-17 Feb 2015, Department of Statistics, Pondicherry University, Puducherry. |
|
9 |
Optimal Acceptance sampling plan for multistage process under type |
M. Kumar and Ramyamol P C |
Proceedings of International conference on recent |
March 17-19, 2016, Jaipur National University |
|
10 |
Fuzzy reliability estimation of a Repairable System Based on Data with Uncertainty |
|
AIP Conference Proceedings 2336, 040011 (2021); https://doi.org/10.1063/5.0046092 |
2021, Department of Mathematics, NIT Calicut. |
Professional Experience
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1996- 2000: Faculty, Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka (NITK) Surathkal, (Formerly known as Karnataka Regional Engineering College (KREC)), India.
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2001- 2006: Research Scholar, Department of Mathematics, IIT Bombay, India.
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2007-2009: Asst Professor, Department of Mathematics and Statistics, Glasgow Caledonian University, Campus Muscat, Scotland (UK).
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Jan 2010- March 2010: Visiting Asst Professor, Department of Mathematics and Statistics, Banasthali University, Consultant Statistician in Mumbai.
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April 2010- 3rd July 2022 : Asst Professor, Department of Mathematics, NIT Calicut, India.
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4th July 2022-Present, Associate Professor, Dept Mathematics, NIT Calicut
Research Contributions
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Completed the project granted from DST SERB on Design of optimal reliability acceptance sampling plans based on multi-stage process, inliers, and accelerated tests- (3 years), DST (SERB) Govt. of India.- Completed (2018-2021)
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Completed a sponsored project received as Faculty Research Grant (FRG) of 5 lakh to conduct research in Bayesian Reliability Estimation, Prediction and Design of Test Plans for 3 years from NIT Calicut, India.
Educational Qualifications
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B.Sc. (Computer Science)-Mangalore University.
-
M.Sc. (Mathematics)-Mangalore University.
-
Ph.D. (Applied Statistics) -Indian Institute of Technology, Bombay (IITB).
Administrative responsibility
Served as Warden C Hostel
Served as Warden F Hostel
Coordinated a training programme on " Business Statistics and Predictive Analytics" for Arbitron Technology Services India, Pvt Ltd., Kochi, during 7th-9th January 2012, in Department of Mathematics, NITC.
Conference, Workshop Organization
Organized an 8-th International Conference and Instructional Workshop on Matrix Analytic Methods in Stochastic Models, during Jan 6-10, 2014 (With Dr. M.J. Jacob and Dr. Jessy John C, Department of Mathematics, NIT Calicut)
Organized One Day Workshop on Six Sigma and Its Applications in Quality Improvement, on 1st November 2016 at Department of Mathematics, NIT Calicut (Resource person: Prof. K. Muralidharan, Master Black Belt in Six Sigma, M.S. University of Baroda, Vadodara)
Year Student Title of Ph.D. Thesis
--------------------------------------------------------------------------------------------------------------------------------------------------------
2024 Ms. Julia T Thomas " Some Contributions to Design of Optimal Acceptance Sampling Plans for Attributes"
2019 Ms. Ramyamol P C " Some Contributions to Optimal Design of Reliability Acceptance Sampling Plans”
2019 Mr. Bajeel P N “Some Contributions to Optimal Reliability Test Plans and Estimation”
2018 Ms. Siju K C "Contributions to Reliability Computation and Estimation of Multi-Component Systems”
Ongoing Ph.D.’s
- Ms. Ashlyn Maria Mathai- Ph.D. (ongoing): Area of Research- Acceptance sampling plans.
- Ms. Sruthi K -Ph.D. (ongoing): Area of Research- Fuzzy Reliability Estimation.
- Ms. Aswathi K P - Ph.D. (ongoing): Statistical Inference.
- Mr. Tamil Selvan T- Ph.D. (ongoing): Epidemiology modeling.
- Mr. Sahil Vig -Ph.D (ongoing): Financial Mathematics.
Faculty Development Programmes
Year Student Title of Ph.D. Thesis
--------------------------------------------------------------------------------------------------------------------------------------------------------
Coordinated MHRD-AICTE sponsored Faculty Development Programme on "Advances in Numerical and Statistical Techniques for Engineers (ANSTE-2011) " during 30th May to 3rd June 2011.
|
S.No |
Title |
Author’s Name |
Publisher |
Year of Publication |
|
1
|
Introduction to System Reliability Evaluation through Bayesian Approach - Book Chapter in the book, Mathematical Concepts and Application in Mechanical Engineering and Machatronics. |
Dr. Mahesh Kumar and Mr. Bajeel P N |
IGI Global Publishers, USA |
2016
|
|
2
|
Design of Reliability Acceptance Sampling Plans Under Partially Accelerated Life Test.
|
Dr Mahesh Kumar
|
Springer USA
|
2019
|
|
3
|
Optimal Design of Reliability Acceptance Sampling Plans for Multi-stage Production Process
|
Dr. Mahesh Kumar
|
Springer USA
|
2022
|
| 4. | Inventory Management using Fuzzy Random variables in Applications of Fuzzy Theory in Applied Sciences and Computer Applications, |
J. T. Thomas and M. Kumar | Nova Science Publishers, USA, 131-136. DOI: 10.52305/LWCM6152 |
2024 |
1. Reliability acceptance sampling plan for weighted exponential distribution based on constant stress accelerated data, In 29th European Safety and Reliability Conference, held in Leibnitz University, Germany (2019).
2. Optimal design of acceptance sampling plans for mixture distribution: Delivered in First IEEE International Conference on Computational and Mathematical Methods in Engineering and Technology (iCOMET 2017) held at Royal Melbourne Institute of Technology University (RMITU), Melbourne, Australia during 18-20 December 2017.
3. Interval and point estimation of parameters of some probability distributions: Delivered in TEQIP sponsored FDP on Probability and random process, conducted at COE Charthala, during 01-02, Feb 2017.
4. System Reliability Theory and Some Modeling Methods: Delivered in the workshop on "Uncertainty and Reliability," during Dec 16-Dec 18, 2010, organized by Indian Institute of Technology (IIT) Rajasthan.
5. Some Techniques of Multivariate Analysis- A Glimpse: Delivered in the workshop on " Research Methodology" during April 4-5, 2011, organized by Department of Mechanical Engineering, NIT Calicut.
6. Industrial Application of Bayesian Methodology in Reliability Evaluation: Delivered in Faculty Development Programme on "Advances in Numerical and Statistical Techniques for Engineers (ANSTE-2011)" during 30th May -3rd June 2011, organized by Department of Mathematics, NIT Calicut.
7. Multivariate Data Analysis- A Glimpse: Delivered in the Faculty Development Programme on "Multivariate Data Analysis for Management Research" during July 18-22, 2011, organized by Department of Mechanical Engineering, NIT Calicut.
8. Estimation Problems, Linear and Multiple Regressions: Delivered in Training Programme for Arbitron Technology Services Kochi, India, Pvt. Ltd., during Jan 7-8, 2012, organized by Department of Mathematics, NIT Calicut.
|
1 |
Zero failure Baysian reliability of systems |
2012 |
|
2 |
Regression approach for modeling the reliability of complex systems |
2012 |
|
3 |
Bayesian confidence intervals for means and variances of Normal and Bivariate normal distributions |
2014 |
|
4 |
A study of reliability acceptance sampling plan for assessing the quality of lots |
2016 |
|
5 |
Construction of economic reliability acceptance plans from truncated life test data |
2017 |
|
6 |
Some topics in reliability estimation and comparison |
2011 |
|
7 |
Study of cronbach’s alpha reliability coefficient for likert-type scales |
2013 |
|
8 |
MCA final project evaluation: Title of the thesis: Wedding Planning platform (Vendor Module) |
2017 |
|
9 |
MCA final project evaluation: Title of the thesis: Wedding Planning platform (customer Module) |
2017 |
|
10 |
Estimation of P(X Distribution Based on Modified Ranked Set Sampling |
2020 |
|
11 |
A Study on Generalized Hybrid Censored Reliability Acceptance Sampling Plans for Some Exponential Family of Distributions |
2021 |
Differential Equations
Partial Differential Equations
Complex Analysis
Linear Algebra
Numerical Analysis
Optimization Techniques
Operation Research
MA1001 (Mathematics I),
MA2001D (Mathematics III)
MA 6004D (Applied Probability and Statistics)
MA7373 (Reliability of Systems)
M1002D (Mathematics II)
MA2002D-Mathematics IV.
Statistical Inference, Bayesian Reliability of Systems, Generalized Linear Models, Stochastic
Programming, Reliability Modeling and Designs, Multivariate Data Analysis Techniques,
Epidemiology modelling and prediction, Fuzzy Sets and Optimization, Acceptance Sampling Plans,
Accelerated life testing, and Financial Mathematics.
Professional Recognition/ Award/ Prize/ Certificate, Fellowship received by the applicant:
Qualified National level GATE test in the year 2000 with all India 20th rank.
Life member of ISTE India.
Training Programmes for Industry
Coordinated a training programme on " Business Statistics and Predictive Analytics" for Arbitron Technology Services India, Pvt Ltd., Kochi, during 7th-9th January 2012, in Department of Mathematics, NITC.