Dr Ajay Kumar, PhD (IIT Roorkee)
Associate Professor (Mathematics)
Department of Applied Sciences
Atal Bihari Vajpayee-
Indian Institute of Information Technology & Management, Gwalior
Morena Link Road, Gwalior-474015
Tel: +91-2449624 (O), 2991955 (R)
Email: ajayfma@iiitm.ac.in, ajay1dma@gmail.com
Dr. Ajay Kumar joined ABV-IIITM Gwalior in July 2009. He obtained his MSc degree in Industrial Mathematics and Informatics from the Department of Mathematics, IIT Roorkee in 2003, and his Ph.D. in Reliability of Industrial Systems from the Department of Mathematics, IIT Roorkee, in 2009. His primary areas of interest are Reliability, Statistics, Fuzzy Sets, Fuzzy Logic, Optimization, Machine Learning, and Modeling & Simulation. He has published over 40 research papers in reputed journals and conferences.
Conference/Workshop/Symposium organized
Organized a faculty development programme on "Introduction and applications of MATLAB in Engineering and Sciences" during November 18-22, 2018 at Department of Applied Sciences, ABV-IIITM Gwalior.
Organized an ATAL sponsored faculty development programme on "Multivariate data analysis for Engineering, Science, and Management" during December 20-24, 2020 at Department of Applied Sciences, ABV-IIITM Gwalior.
Visiting Researcher/Invited Talk
Delivered expert lecture in faculty development programme on “Machine Learning and its Applications” dated February 16, 2022 at CCS University Meerut.
Delivered expert lectures in AICTE sponsored FDP on "Research Methodology and Scientific Writing for Engineering and Management (RMSW-2021)" dated February 19, 2022 at ABV-IIITM Gwalior (MP).
Delivered expert lectures in faculty development programme on “Machine Learning and Recent Data Analysis Methods” dated March 16-18, 2022 at Dr. Harisingh Gour Vishwavidyalaya Sagar (MP).
PhD Thesis Supervision (Awarded)
Bhoopendra Pachauri (2010-2014); Title: Modeling and Analysis of Software Reliability Growth Behavior and Optimal Release Policy are using Soft-computing Techniques.
Rashmi Kushwaha (2014-2018); Title: Issues in Integration of Mobile AdHoc
Network and Wired Network.
Surendra Nagar (2016-2021); Title: Design and development of super resolution algorithms to enhance the quality of noisy low-resolution facial images.
Vishal Pradhan (2016-2022); Title: Software Reliability Growth Models with Various Environmental Factors and Optimal Release Behavior.
PhD Thesis Supervision (Ongoing)
Rakesh Singh Tomar (2015-Till date); Title: Mathematical Modelling of Infectious Diseases in Temporal and Spatio-Temporal Domain with Immunization, Treatment and Delay
Ankit Parwaliya (2018-Till date); Title: Dynamics of ecological systems with multiple delays
Rakhi Bihari (2019-Till date); Title: Fuzzy Mathematical Modeling and its applications in decision-making
Umashankar Samal (2020-Till date); Title: NHPP based Software Reliability Growth Modelling
Shivani Kushwaha (2020-Till date); Title: Modeling and Simulation of Software Systems using Machine learning
MTech/MBA Thesis Supervision
Supervised more than 75 theses covering the topics from Statistics, Fuzzy Mathematics, Optimizaation and Machine Learning.
Journal Publications
Pradhan, Vishal; Dhar, Joydip; Kumar, Ajay; Testing-Effort based NHPP Software Reliability Growth Model with Change-point Approach. Journal of Information Science & Engineering, 38(2) , 2022.
Pradhan, Vishal; Kumar, Ajay; Dhar, Joydip; Modeling Multi-Release Open Source Software Reliability Growth Process with Generalized Modified Weibull Distribution Evolving Software Processes: Trends and Future Directions, 123-133, 2022, Wiley Online Library.
Pradhan, Vishal; Kumar, Ajay; Dhar, Joydip; Enhanced growth model of software reliability with generalized inflection S-shaped testing-effort function, Journal of Interdisciplinary Mathematics, 25(1), 137-153, 2022, Taylor & Francis.
Nagar, Surendra; Jain, Ankush; Singh, Pramod Kumar; Kumar, Ajay; Adaptive optimal multi-features learning based representation for face hallucination Expert Systems with Applications, 190, 116141, 2022, Elsevier.
Pradhan, Vishal; Kumar, Ajay; Dhar, Joydip; Modelling software reliability growth through generalized inflection S-shaped fault reduction factor and optimal release time, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 236(1), 18-36, 2022, SAGE Publications Sage UK: London, England.
Kushwaha, S. Tapaswi, and A. Kumar; A Novel Technique for Gateway Selection in Hybrid MANET Using Genetic Algorithm, Wireless Personal Communications, 2022, Springer.
Singh, Anuraj; Parwaliya, Ankit; Kumar, Ajay; Hopf bifurcation and global stability of density dependent model with discrete delays involving Beddington-DeAngelis functional response Mathematical Methods in the Applied Sciences, 2021, Wiley.
Jain, Ankush; Pattanaik, KK; Kumar, Ajay; Bellavista, Paolo; Energy and congestion aware routing based on hybrid gradient fields for wireless sensor networks, Wireless Networks, 27(1), 175-193, 2021, Springer.
Nagar, Surendra; Jain, Ankush; Singh, Pramod Kumar; Kumar, Ajay; Mixed-noise robust face super-resolution through residual-learning based error suppressed nearest neighbor representation, Information Sciences, 546, 121-145, 2021, Elsevier.
Kumar, Ajay; Swarnakar, Pradip; Jaiswal, Kamya; Kurele, Ritika; SMIR model for controlling the spread of information in social networking sites, Physica A: Statistical Mechanics and its Applications, 540, 122978, 2020, North-Holland.
Nagar, Surendra; Jain, Ankush; Singh, Pramod Kumar; Kumar, Ajay; Pixel-wise dictionary learning based locality-constrained representation for noise robust face hallucination, Digital Signal Processing, 99, 102667, 2020, Elsevier.
Kushwah, Rashmi; Tapaswi, Shashikala; Kumar, Ajay; Multipath Delay Analysis Using Queuing Theory for Gateway Selection in Hybrid MANET, Wireless Personal Communications, 111(1), 2020, Springer.
Pradhan, Vishal; Dhar, Joydip; Kumar, Ajay; Bhargava, Ashish; An S-Shaped Fault Detection and Correction SRGM Subject to Gamma-Distributed Random Field Environment and Release Time Optimization, Decision Analytics Applications in Industry, 285-300, 2020, Springer.
Pradhan, Vishal; Dhar, Joydip; Kumar, Ajay; Bhargava, Ashish; An S-Shaped Fault Detection and Correction SRGM Subject, Decision Analytics Applications in Industry, 285, 2020, Springer Nature.
Pachauri, Bhoopendra; Kumar, Ajay; Raja, Sachin; Imperfect Software Reliability Growth Model Using Delay in Fault Correction Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models, 119-126, 2019, Springer.
Pachauri, Bhoopendra; Kumar, Ajay; Dhar, Joydip; Reliability analysis of open source software systems considering the effect of previously released version, International Journal of Computers and Applications, 41(1), 31-38, 2019, Taylor & Francis.
Kushwah, Rashmi; Tapaswi, Shashikala; Kumar, Ajay; A Detailed Study on Internet Connectivity Schemes for Mobile ad Hoc Network, Wireless Personal Communications, 104(4), 1433-1471, 2019, Springer US.
Anand, Vijay; Jain, Ankush; Pattanaik, KK; Kumar, Ajay; Traffic aware field-based routing for wireless sensor networks, Telecommunication Systems, 71(3), 475-489, 2019, Springer US.
Kushwah, Rashmi; Tapaswi, Shashikala; Kumar, Ajay; Pattanaik, Kiran K; Yousef, Sufian; Cole, M; Gateway load balancing using multiple QoS parameters in a hybrid MANET, Wireless Networks, 24(4), 1071-1082, 2018,
Vishal Pradhan, Ajay Kumar, Joydip Dhar; A software reliability model incorporating fault dependency considering time delay, International Journal of Pure and Applied Mathematics, 118(22), 1527-1535, 2018.
Kushwah, Rashmi; Tapaswi, Shashikala; Kumar, Ajay; Modeling of an Efficient Integration of MANET and Internet Using Queuing Theory, Wireless Personal Communications, 95(3), 3253-3270, 2017, Springer.
Swarnakar, Pradip; Kumar, Ajay; Tyagi, Himanshu; Network dynamics in friend recommendation: a study of Indian engineering students. IJITM, 16(3), 287-300, 2017.
Kushwah, R; Tapaswi, S; Kumar, A; An Optimum Source Coverage Adaptive Gateway Discovery for Heterogeneous Networks, International Journal of Future Generation Communication and Networking, 10(1), 149-158, 2017.
Pachauri, Bhoopendra; Kumar, Ajay; Dhar, Joydip; Software reliability modelling using neural network with compounded decreased error rate, International Journal of Reliability and Safety, 10(4), 309-322, 2016, Inderscience Publishers (IEL).
Swarnakar, Pradip; Kumar, Ajay; Kumar, Sanjay; Why generation Y prefers online shopping: a study of young customers of India, International Journal of Business Forecasting and Marketing Intelligence, 2(3), 215-232, 2016, Inderscience Publishers (IEL).
Swarnakar, Pradip; Kumar, Ajay; Wadhwa, Manak; Investigating preferred relationship through fuzzy sets in social networking sites, International Journal of Web Based Communities, 122(2), 165-179, 2016, Inderscience Publishers (IEL).
Pachauri, Bhoopendra; Dhar, Joydip; Kumar, Ajay; Incorporating inflection S-shaped fault reduction factor to enhance software reliability growth, Applied Mathematical Modelling, 39, 1463-1469, 2015, Elsevier.
Pachauri, Bhoopendra; Kumar, Ajay; Dhar, Joydip; Software reliability growth modeling with dynamic faults and release time optimization using GA and MAUT, Applied Mathematics and computation, 242, 500-509, 2014, Elsevier.
Kumar, Ajay; Sharma, SP; Kumar, Dinesh; Performance analysis of repairable system using GA and fuzzy Lambda-Tau methodology, International Journal of Quality & Reliability Management, 30(9), 1017-1032, 2013, Emerald Group Publishing Limited.
Pachauri, Bhoopendra; Kumar, Ajay; Dhar, Joydip; Modeling optimal release policy under fuzzy paradigm in imperfect debugging environment, Information and Software Technology, 55(11), 1974-1980, 2013, Elsevier.
Kumar, Naveen; Borm, Jin-Hwan; Kumar, Ajay; Reliability analysis of waste clean-up manipulator using genetic algorithms and fuzzy methodology Computers & Operations Research, 39(2), 310-319, 2012, Pergamon.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Behavior prediction of washing system in a paper industry using GA and fuzzy lambda-tau technique, Applied Mathematical Modelling, 36( 6), 2614 - 2626, 2012, Elsevier.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Reliability analysis of complex multi-robotic system using GA and fuzzy methodology, Applied Soft Computing, 12(1), 405-415, 2012, Elsevier.
Pachauri, Bhoopendra; Dhar, Joydip; Kumar, Ajay; Software reliability growth model with gompertz testing-effort function with change point, Advances in Modeling, Optimization and Computing, 617, 2011.
Sharma, SP; Sukavanam, N.; Kumar, Naveen; Kumar, Ajay; Reliability Analysis of Complex Robotic System using Petri Nets and Fuzzy Lambda-Tau Methodology, Engineering Computations, 27(3), 354-364, 2010, Emerald.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Predicting uncertain behaviour of pulping system in a paper industry, International Journal of Engineering Systems Modelling and Simulation, 2(3), 183-189, 2010, Inderscience.
Conferences Publications
Kushwah, R; Tapaswi, S; Kumar, A; Enhanced Gateway Deployment Scheme for Load Balancing in Heterogeneous Networks, 2018, 9th International Conference on Computing, Communication and Networking Technologies (ICCCNT), 7-January, 2018, IEEE.
SP Sharma, Harish Garg, Ajay Kumar; Fuzzy System Reliability Analysis of Two Grinding Machine using Fuzzy Lambda-Tau Methodology, 4th International Conference on Quality, Reliability and Infocom Technology (ICQRIT), 2009, 68-69, 2009.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Availability Optimization of a Series-Parallel Systems using Genetic Algorithms, NSC08, 2008.
Sharma, SP; Sukavanam, N.; Kumar, Naveen; Kumar, Ajay; Performance Analysis of a Complex Robotic System using Fault Tree and Fuzzy Methodology, NSC08, 2008.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Reliability Analysis of Pulping System in a Paper Industry using Generalized Stochastic Petri Nets, 8th Conference of Indian Society of Industrial and Applied Mathematics, 77, 2007.
Sharma, SP; Kumar, Dinesh; Kumar, Ajay; Reliability Analysis of non-redundant robot using Petri nets and Fuzzy Lambda-Tau Methodology, 40th Annual Convention of Operational Research Society of India, 41, 2007.
Kumar, Ajay; Sharma, SP; Kumar, Dinesh; Robot Reliability using Petri nets and Fuzzy Lambda-Tau Methodology, 3rd International Conference on Reliability and Safety Engineering, 517-523,
Kumar, Ajay; Kumar, Dinesh; Sharma, SP; Performance Analysis of Pulping System in a Paper Industry using Petri Nets, 2nd International Conference on Reliability and Safety Engineering, 54-61, 2006.