Nitin Kumar

Verified @gmail.com

PhD, Department of Mathematics
IIT Kharagpur

RESEARCH INTERESTS

Queueing Models, Population Models, Stochastic Process.
149

Scholar Citations

9

Scholar h-index

7

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Reliability Analysis of an Unreliable -Policy Queue Under Bernoulli Vacation Schedule with Two-Service Genres and Optional Repeated Service
    A Begum, G Choudhury, HJ Sarma, N Kumar
    International Journal of Reliability, Quality and Safety Engineering 32 (04 … , 2025
    2025
    Citations: 2
  • Analysis of a manufacturing queueing system using bi-level randomized policy
    N Kumar
    Top 33 (1), 1-28 , 2025
    2025
  • A population model with Markovian arrival process and binomial correlated catastrophes
    N Kumar
    Communications in Statistics-Theory and Methods 53 (20), 7181-7196 , 2024
    2024
  • Transient behavior of a discrete-time renewal population growth model subject to geometric catastrophes
    N Kumar, FP Barbhuiya
    Journal of Industrial and Management Optimization 20 (7), 2500-2515 , 2024
    2024
    Citations: 1
  • An analytical approach of Markov modulated Poisson input with feedback queue and repeated service under N-policy with setup time
    S Mahanta, N Kumar, G Choudhury
    Quality Technology & Quantitative Management 21 (2), 257-285 , 2024
    2024
    Citations: 11
  • Analysis of a renewal arrival process subject to geometric catastrophe with random batch killing
    N Kumar
    RAIRO-Operations Research 58 (1), 933-946 , 2024
    2024
    Citations: 1
  • Study of a two types of general heterogeneous service queueing system in a single server with optional repeated service and feedback queue
    S Mahanta, N Kumar, G Choudhury
    Hacettepe Journal of Mathematics and Statistics, 1-28 , 2024
    2024
    Citations: 6
  • Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters
    N Kumar, UC Gupta
    Communications in Statistics-Theory and Methods 52 (12), 4283-4309 , 2023
    2023
    Citations: 12
  • Markovian arrival process subject to renewal generated binomial catastrophes
    N Kumar, UC Gupta
    Methodology and Computing in Applied Probability 24 (4), 2287-2312 , 2022
    2022
    Citations: 3
  • Analysis of the GI / M / c queue with N -threshold policy
    FP Barbhuiya, N Kumar, UC Gupta
    Quality Technology & Quantitative Management 19 (4), 490-510 , 2022
    2022
    Citations: 16
  • Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes
    N Kumar, UC Gupta, G Singh
    International Journal of Applied and Computational Mathematics 7 (5), 175 , 2021
    2021
    Citations: 1
  • Complete analysis of a discrete-time batch service queue with batch-size-dependent service time under correlated arrival process: D-MAP/Gn (a, b)/1
    UC Gupta, N Kumar, S Pradhan, FP Barbhuiya, ML Chaudhry
    RAIRO-Operations Research 55 (3), 1231-1256 , 2021
    2021
    Citations: 9
  • Stochastic Modeling and Analysis of Population Models Subject to Mild Catastrophes
    N Kumar
    IIT Kharagpur , 2021
    2021
  • Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes
    N Kumar, UC Gupta
    Communications in Statistics-Theory and Methods 50 (13), 3137-3158 , 2021
    2021
    Citations: 9
  • Performance Analysis of a Discrete-Time Queue with Versatile Batch Transmission Rule Under Batch Size Sensitive Policy
    A Maity, UC Gupta, N Kumar
    Queueing Models and Service Management 3 (2), 203-234 , 2020
    2020
    Citations: 2
  • Analysis of a geometric catastrophe model with discrete-time batch renewal arrival process
    N Kumar, FP Barbhuiya, UC Gupta
    RAIRO-Operations Research 54 (5), 1249-1268 , 2020
    2020
    Citations: 12
  • Analysis of an infinite-buffer batch-size-dependent service queue with discrete-time Markovian arrival process: D-
    UC Gupta, N Kumar, S Pradhan, FP Barbhuiya
    arXiv preprint arXiv:2005.13942 , 2020
    2020
  • Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes
    N Kumar, UC Gupta
    Annals of Operations Research 287 (1), 257-283 , 2020
    2020
    Citations: 14
  • Unified killing mechanism in a single server queue with renewal input
    N Kumar, FP Barbhuiya, UC Gupta
    Opsearch 57 (1), 246-259 , 2020
    2020
    Citations: 9
  • A renewal generated geometric catastrophe model with discrete-time Markovian arrival process
    N Kumar, UC Gupta
    Methodology and Computing in Applied Probability 22 (3), 1293-1324 , 2020
    2020
    Citations: 7

MOST CITED SCHOLAR PUBLICATIONS

  • A queueing system with batch renewal input and negative arrivals
    UC Gupta, N Kumar, FP Barbhuiya
    Applied Probability and Stochastic Processes, 143-157 , 2020
    2020
    Citations: 21
  • Analysis of the GI / M / c queue with N -threshold policy
    FP Barbhuiya, N Kumar, UC Gupta
    Quality Technology & Quantitative Management 19 (4), 490-510 , 2022
    2022
    Citations: 16
  • Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes
    N Kumar, UC Gupta
    Annals of Operations Research 287 (1), 257-283 , 2020
    2020
    Citations: 14
  • Batch renewal arrival process subject to geometric catastrophes
    FP Barbhuiya, N Kumar, UC Gupta
    Methodology and Computing in Applied Probability 21 (1), 69-83 , 2019
    2019
    Citations: 13
  • Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters
    N Kumar, UC Gupta
    Communications in Statistics-Theory and Methods 52 (12), 4283-4309 , 2023
    2023
    Citations: 12
  • Analysis of a geometric catastrophe model with discrete-time batch renewal arrival process
    N Kumar, FP Barbhuiya, UC Gupta
    RAIRO-Operations Research 54 (5), 1249-1268 , 2020
    2020
    Citations: 12
  • An analytical approach of Markov modulated Poisson input with feedback queue and repeated service under N-policy with setup time
    S Mahanta, N Kumar, G Choudhury
    Quality Technology & Quantitative Management 21 (2), 257-285 , 2024
    2024
    Citations: 11
  • Complete analysis of a discrete-time batch service queue with batch-size-dependent service time under correlated arrival process: D-MAP/Gn (a, b)/1
    UC Gupta, N Kumar, S Pradhan, FP Barbhuiya, ML Chaudhry
    RAIRO-Operations Research 55 (3), 1231-1256 , 2021
    2021
    Citations: 9
  • Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes
    N Kumar, UC Gupta
    Communications in Statistics-Theory and Methods 50 (13), 3137-3158 , 2021
    2021
    Citations: 9
  • Unified killing mechanism in a single server queue with renewal input
    N Kumar, FP Barbhuiya, UC Gupta
    Opsearch 57 (1), 246-259 , 2020
    2020
    Citations: 9
  • A renewal generated geometric catastrophe model with discrete-time Markovian arrival process
    N Kumar, UC Gupta
    Methodology and Computing in Applied Probability 22 (3), 1293-1324 , 2020
    2020
    Citations: 7
  • Study of a two types of general heterogeneous service queueing system in a single server with optional repeated service and feedback queue
    S Mahanta, N Kumar, G Choudhury
    Hacettepe Journal of Mathematics and Statistics, 1-28 , 2024
    2024
    Citations: 6
  • Markovian arrival process subject to renewal generated binomial catastrophes
    N Kumar, UC Gupta
    Methodology and Computing in Applied Probability 24 (4), 2287-2312 , 2022
    2022
    Citations: 3
  • Reliability Analysis of an Unreliable -Policy Queue Under Bernoulli Vacation Schedule with Two-Service Genres and Optional Repeated Service
    A Begum, G Choudhury, HJ Sarma, N Kumar
    International Journal of Reliability, Quality and Safety Engineering 32 (04 … , 2025
    2025
    Citations: 2
  • Performance Analysis of a Discrete-Time Queue with Versatile Batch Transmission Rule Under Batch Size Sensitive Policy
    A Maity, UC Gupta, N Kumar
    Queueing Models and Service Management 3 (2), 203-234 , 2020
    2020
    Citations: 2
  • Transient behavior of a discrete-time renewal population growth model subject to geometric catastrophes
    N Kumar, FP Barbhuiya
    Journal of Industrial and Management Optimization 20 (7), 2500-2515 , 2024
    2024
    Citations: 1
  • Analysis of a renewal arrival process subject to geometric catastrophe with random batch killing
    N Kumar
    RAIRO-Operations Research 58 (1), 933-946 , 2024
    2024
    Citations: 1
  • Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes
    N Kumar, UC Gupta, G Singh
    International Journal of Applied and Computational Mathematics 7 (5), 175 , 2021
    2021
    Citations: 1
  • Analysis of a manufacturing queueing system using bi-level randomized policy
    N Kumar
    Top 33 (1), 1-28 , 2025
    2025
  • A population model with Markovian arrival process and binomial correlated catastrophes
    N Kumar
    Communications in Statistics-Theory and Methods 53 (20), 7181-7196 , 2024
    2024