School of Basic Sciences

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Department of
Mathematics
School of Basic Sciences

Dr. Abhijit Datta Banik

Associate Professor
  • Office: 301, SBS Building
  • +91 674 713 5108
  • adattabanik@iitbbs.ac.in
  • Department of Mathematics
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Research Interests:
Queueing Theory, Applied Probability Models, Stochastic Modelling and Simulation, Stochastic Models in Operations Research and their application in Communication systems, Reliability Engineering, Transportation systems, Manufacturing systems, Production and Inventory Systems.

Dr. Abhijit Datta Banik joined as a faculty of Mathematics at IIT Bhubaneswar, Odisha, India in the year 2009. He received the B.Sc. and M.Sc. degrees in Mathematics from the Jadavpur University, West-Bengal, India in the years 1998 and 2000, respectively. He received his Ph.D. degree from the Department of Mathematics, Indian Institute of Technology, Kharagpur, India in the year 2007. His main research interests include continuous-time queueing theory and its applications. Before comming to IIT Bhubaneswar he served as a post-doctoral fellow in the School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India and INRIA (IRISA), Campus Universitaire De Beaulieu F-35042 Rennes, Cedex France. After joining IIT Bhubaneswar he visited IST, Lisbon, Portugal and Ghent University, Belgium for carrying out a few joint research projects.   He has published more than 40 research articles in the international journals namely, Operations Research Letters, Applied Mathematics and Computation, Applied Mathematical Modelling, Computers and Operations Research, Annals of Operations Research, Methodology and Computing in Applied Probability, Stochastic Analysis and Applications and many more.

Education:

 Degree Discipline Year School
  Ph.D. Mathematics 2007 Indian Institute of Technology Kharagpur

In the Spring Semesters: Mathematics-II (MA1L002), Combinatorics, Probability and Statistics (MA2L006), Transform Calculus (MA A2001). In the Autumn Semesters: Probability, Statistics and Stochastic Processes (MA2L003), Mathematics-I (MA1L001), Proabbility & Statistics (MA5L004).

Dibyajyoti Guha (Ph. D, 2016) , Gopinath Panda (Ph. D., 2017) , Souvik Ghosh (Ph. D., 2019)

  • Qualified UGC-CSIR NET in CSIR Junior Research Fellowship (JRF) category in the year 2001
  • INRIA, France Post-Doctoral Fellowship in the year 2007
  • Portuguese Foundation for Science and Technology (FCT) Post-Doctoral fellowship in the year 2009
  • In 2022,  Obtained (Completed) a project entitled “ Development of computational method for finding the exact results on the queueing models involving heavy-tail distributions using complex analysis.” from  DST, New Delhi, India
  • In 2013,  Obtained (Completed) a project entitled “ Development of computational methods for stochastic models with Markovian arrival/service process and their applications” from  DST, New Delhi, India
S.N. Author

(in same order as in publication)

 Full Title of the Journal Journal Year Vol Page doi Impact Factor

(SCI 2010-11)
1 AD Banik,MLChaudhry, SWittevrongel,H Bruneel A simple andefficientcomputingprocedure of thestationarysystem-lengthdistributions forGIX/D/c andBMAP/D/cqueues Computers &Operations Research 2022 138 13  

https://doi.org/10.1016/j.cor.2021.105564
3.002
2 JJ Kim, MLChaudhry, VGoswami,AD Banik A New andPragmaticApproach to theGIX/Geo/c/NQueues UsingRoots Methodology and Computing in Applied Probability 2021 23 273–289  

https://doi.org/10.1007/s11009-021-09868-4
1.14
3 F Avram, AD Banik, & A Horváth Ruin probabilities by Padé’s method: simple moments based mixed exponential approximations (Renyi, De Vylder, Cramér–Lundberg), and high precision approximations with both light and heavy tails European Actuarial Journal 2019 9 273–299 https://doi.org/10.1007/s13385-018-0180-8 0.72
4 AD Banik, S Ghosh Efficient computational analysis of non-exhaustive service vacation queues: BMAP/R/1/N(∞) under gated-limited discipline Applied Mathematical Modelling 2019 68 540–562 https://doi.org/10.1016/j.apm.2018.11.040 2.841
5 Abhijit Datta Banik, Souvik Ghosh, & M. L. Chaudhry On the optimal control of loss probability and profit in a GI/C-BMSP/1/N queueing system OPSEARCH 2019 xx xx https://doi.org/10.1007/s12597-019-00409-9 0
6 Mohan L. Chaudhry, James J. Kim, and Abhijit D. Banik Analytically Simple and Computationally Efficient Results for the GIX/Geo/c Queues Journal of Probability and Statistics 2019 2019 18 pages https://doi.org/10.1155/2019/6480139 0
7 Gopinath Panda, Abhijit Datta Banik & Dibyajyoti Guha Stationary Analysis and Optimal Control Under Multiple Working Vacation Policy in a GI/M(a,b)/1 Queue Journal of Systems Science and Complexity 2018 31 1003–1023 https://doi.org/10.1007/s11424-017-6172-y 0.939
8 Dibyajyoti Guha, Veena Goswami, and A.D. Banik A Study of Equilibrium Joining and Socially Optimal Strategic Behavior in Discrete-Time GI[x]/Geo/1 Queue with Multiple Working Vacations Queueing Models and Service Management 2018 1 17–30 http://140.120.7.175/index.php/QMSM/article/view/41 0
9 Souvik Ghosh & A. D. Banik Computing conditional sojourn time of a randomly chosen tagged customer in a BMAP/MSP/1 queue under random order service discipline Annals of Operations Research 2018 261 185–206 https://doi.org/10.1007/s10479-017-2534-z 2.284
10 A. D. Banik, M. L. Chaudhry, and James J. Kim A Note on the Waiting-Time Distribution in an Infinite-Buffer GI^X/C-MSP/1 Queueing System Journal of Probability and Statistics 2019 2019 10pages https://doi.org/10.1155/2018/7462439 0
11 Gopinath Panda, AD Banik, and ML Chaudhry Stationary distributions of the R^[X]/R/1 cross-correlated queue Communications in Statistics-Theory and Methods 2017 46 8666–8689 https://doi.org/10.1080/03610926.2016.1186192 0.424
12 Mohan L Chaudhry, Abhijit Datta Banik, António Pacheco A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: GI^X/C-MSP/1/∞ Annals of Operations Research 2017 252 135–173 https://doi.org/10.1007/s10479-015-2026-y 2.284
13 Souvik Ghosh and Abhijit Datta Banik An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue Computers & Operations Research 2017 79 1-11 https://doi.org/10.1016/j.cor.2016.10.001 3.002
14 A. D. Banik Stationary analysis of a BMAP/R/1 queue with R-type multiple working vacations Communications in Statistics – Simulation and Computation 2017 46 1035–1061 https://doi.org/10.1080/03610918.2014.990096 0.490
15 Gopinath Panda, Veena Goswami, and Abhijit Datta Banik Equilibrium behaviour and social optimization in Markovian queues with impatient customers and variant of working vacations RAIRO Operations Research 2017 51 685–707 https://doi.org/10.1051/ro/2016056 0.639
16 Abhijit Datta Banik and ML Chaudhry Efficient Computational Analysis of Stationary Probabilities for the Queueing System BMAP/G/1/N With or Without Vacation(s) INFORMS Journal on Computing 2016 29 140–151 https://doi.org/10.1287/ijoc.2016.0720 1.850
17 Gopinath Panda, Veena Goswami, and Abhijit Datta Banik Equilibrium and socially optimal balking strategies in Markovian queues with vacations and sequential abandonment Asia-Pacific Journal of Operational Research 2016 33 34 pages https://doi.org/10.1142/S0217595916500366 0.561
18 ML Chaudhry, Abhijit Datta Banik, António Pacheco, and Souvik Ghosh A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method: GI/C-MSP (a, b)/1/∞ RAIRO Operations Research 2016 50 519–551 https://doi.org/10.1051/ro/2015035 0.639
19 Dibyajyoti Guha, Veena Goswami, and AD Banik Algorithmic computation of steady-state probabilities in an almost observable GI/M/c queue with or without vacations under state dependent balking and reneging Applied Mathematical Modelling 2016 40 4199–4219 https://doi.org/10.1016/j.apm.2015.11.018 2.841
20 Gopinath Panda, Veena Goswami, Abhijit Datta Banik, and Dibyajyoti Guha EQUILIBRIUM BALKING STRATEGIES IN RENEWAL INPUT QUEUE WITH BERNOULLI-SCHEDULE CONTROLLED VACATION AND VACATION INTERRUPTION Journal of Industrial and Management Optimization 2016 12 851–878 doi:10.3934/jimo.2016.12.851 1.025
21 A. D. Banik Single server queues with a batch Markovian arrival process and bulk renewal or non-renewal service Journal of Systems Science and Systems Engineering 2015 24 337–363 https://doi.org/10.1007/s11518-015-5268-y 1.079
22 A. D. Banik Some aspects of stationary characteristics and optimal control of the BMAP ∕ G − G ∕ 1 ∕ N( ∞ ) oscillating queueing system Applied Stochastic Models in Business and Industry 2015 31 204-230 https://doi.org/10.1002/asmb.2025 1.124
23 Dibyajyoti Guha, Veena Goswami, and A.D.Banik Equilibrium balking strategies in renewal input batch arrival queues with multiple and single working vacation Performance evaluation 2015 94 1-24 https://doi.org/10.1016/j.peva.2015.09.001 1.689
24 Dibyajyoti Guha and Abhijit Datta Banik On the renewal input batch-arrival queue under single and multiple working vacation policy with application to epon INFOR: Information Systems and Operational Research 2013 51 175–191 https://doi.org/10.3138/infor.51.4.175 0.600
25 Abhijit Datta Banik Stationary distributions and optimal control of queues with batch Markovian arrival process under multiple adaptive vacations Computers & Industrial Engineering 2013 65 455–465 https://doi.org/10.1016/j.cie.2013.04.005 3.518
26 A. D. Banik Analysis of queue-length dependent vacations and P-limited service in BMAP/G/1/N systems: stationary distributions and optimal control International Journal of Stochastic Analysis 2013 2013 14 pages https://doi.org/10.1155/2013/196372 0
27 Abhijit Datta Banik Analyzing state-dependent arrival in GI/BMSP/1/∞ queues Mathematical and Computer Modelling 2011 53 1229-1246 https://doi.org/10.1016/j.mcm.2010.12.007 0
28 A. D. Banik Analysis of single working vacation in GI/M/1/N and GI/M/1/∞ queueing systems International Journal of Operational Research 2010 7 314–333 https://doi.org/10.1504/IJOR.2010.032111 0
29 Abhijit Datta Banik Queueing analysis and optimal control of BMAP/G (a, b)/1/N and BMAP/MSP (a, b)/1/N systems Computers & Industrial Engineering 2009 57 748–761 https://doi.org/10.1016/j.cie.2009.02.002 3.518
30 A. D. Banik The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process Applied Mathematical Modelling 2009 33 3025–3039 https://doi.org/10.1016/j.apm.2008.10.021 2.841
31 AD Banik, UC Gupta, and ML Chaudhry Finite-buffer bulk service queue under Markovian service process: GI/MSP (a, b)/1/N Stochastic Analysis and Applications 2009 27 500–522 https://doi.org/10.1080/07362990902844157 0.878
32 Karabi Sikdar, Umesh Chandra Gupta, and Abhijit Datta Banik Performance analysis of a finite-buffer batch service queue with general input and exponential multiple vacations Journal of Probability and Statistical Science 2009 7 191–210. xx 0
33 AD Banik, ML Chaudhry, and UC Gupta On the finite buffer queue with renewal input and batch Markovian service process: GI/BMSP/1/N Methodology and Computing in Applied Probability 2008 10 559–575 https://doi.org/10.1007/s11009-007-9064-0 0.746
34 AD Banik and UC Gupta Finite buffer vacation queue under E-limited with limit variation service and batch Markovian arrival process Quality Technology & Quantitative Management 2008 5 1-20 https://doi.org/10.1080/16843703.2008.11673172 0.946
35 AD Banik, UC Gupta, and SS Pathak On the GI/M/1/N queue with multiple working vacations—analytic analysis and computation Applied Mathematical Modelling 2007 31 1701–1710 https://doi.org/10.1016/j.apm.2006.05.010 2.841
36 AD Banik and UC Gupta Analyzing the finite buffer batch arrival queue under Markovian service process: GI^X/MSP/1/N TOP 2007 15 146–160 https://doi.org/10.1007/s11750-007-0007-2 0.965
37 U.C.Gupta and A.D.Banik Complete analysis of finite and infinite buffer GI/MSP/1 queue—A computational approach Operations Research Letters 2007 35 273–280 https://doi.org/10.1016/j.orl.2006.02.003 0.761
38 AD Banik, UC Gupta, and SS Pathak BMAP/G/1/N queue with vacations and limited service discipline Applied Mathematics and Computation 2006 180 707–721 https://doi.org/10.1016/j.amc.2006.01.006 3.092
39 AD Banik, UC Gupta, and SS Pathak Finite buffer vacation models under E-limited with limit variation service and Markovian arrival process Operations Research Letters 2006 34 539–547 https://doi.org/10.1016/j.orl.2005.08.006 0.761
40 U. C. Gupta, A. D. Banik, and S. S. Pathak Complete analysis of MAP/G/1/N queue with single (multiple) vacation(s) under limited service discipline International Journal of Stochastic Analysis 2005 2005 21 pages https://doi.org/10.1155/JAMSA.2005.353 0
  1. A. D. Banik, U. C. Gupta and M. L. Chaudhry, Finite-buffer bulk service queue under Markovian service process. (ACM International Conference Proceeding Series; Vol. 321) Proceedings of the 2nd international conference on Performance evaluation methodologies and tools, Valuetools 2007, October 23-25, 2007, Nantes, France.
  2. V. S. Borkar, D. J. Das, A. D. Banik and D. Manjunath, A learning scheme for stationary probabilities of large Markov chains with examples. Proceedings of the Forty-Sixth Annual Allerton Conference, September 23-26, 2008, University of Illinois at Urbana-Champaign, IL, USA.
  3. A. D. Banik, Souvik Ghosh, and Debasis Basu, 2016. Computational Analysis of a Single Server Queue with Batch Markovian Arrival and Exponential Single Working Vacation, , Presented in the International Conference on Frontiers in Optimization: Theory and Applications, held during November 24-26, 2016 at Heritage Institute of Technology, Kolkata, India. (To be included in the Springer proceedings).
  4. Gopinath Panda, A. D. Banik, and M. L. Chaudhry, 2016. Computational analysis of the GI/G/1 risk process using roots, Presented in the International Conference on Frontiers in Optimization: Theory and Applications, held during November 24-26, 2016 at Heritage Institute of Technology, Kolkata, India. (This paper receives Best paper (Theory) award in FOTA-2016 and to be included in the Springer proceedings)
  5. Gopinath Panda, Veena Goswami, A D Banik, 2015. Equilibrium abandonment strategies in a cloud management system (CMS): A queueing approach, Presented in Stochastic Models of Manufacturing and Service Operations, Volos, Greece, June 1-6, 2015 and included in the conference proceedings [Publisher: University of Thessaly Press]
  6. G Panda, AD Banik and ML Chaudhry, 2014. Inverting the Transforms Arising in the GI/M/1 Risk Process Using Roots. Mathematics and Computing 2013, 297-312. [Publisher: Springer]
  7. D Guha, AD Banik, V Goswami, S Ghosh, 2014. Equilibrium Balking Strategy in an Unobservable GI/M/c Queue with Customers Impatience. Distributed Computing and Internet Technology, LNCS, 188-199. [Publisher: Springer]
  8. AD Banik and SK Samanta, 2013. Controlling Packet Loss of Bursty and Correlated Traffics in a Variant of Multiple Vacation Policy. Distributed Computing and Internet Technology, LNCS, 208-219. [Publisher: Springer]
  •  Full time teaching experience at Indian Institute of Technology, Bhubaneswar since January, 2010 to present.
  • Post-Doctoral visitor at IST, Lisbon, Portugal two times (2010, 2012) with a total duration of six and a half months
  • Post-Doctoral visitor at School of Technology and Computer Science of Tata Institute of Fundamental Research, Mumbai, India since 1st January 2008 till September 2009.
  •  Post-Doctoral  visitor at INRIA (IRISA),  Campus Universitaire De Beaulieu F-35042 Rennes, Cedex France since 18 December, 2006  to 31 July, 2007.
  • Tutorial classes/Lab sessions of B.Tech. students of  IIT, Kharagpur during Ph. D.
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