Dr. Abhijit Datta Banik Associate Professor
School of Basic Sciences

Research Interests

Queueing Theory, Applied Probability Models, Stochastic Modelling and Simulation, Stochastic Models in Operations Research and their application in Communication systems, Transportation, Manufacturing, Production and Inventory Systems.

Brief Resume

Contact Details

  • Room # 301, SBS Building, Argul Campus
  • +06747135108
  • adattabanik@iitbbs.ac.in, banikad@gmail.com

Other Profile Link(s)

Education

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

Biosketch

Dr. Abhijit Datta Banik joined as a faculty of Mathematics. He received the B.Sc. and M.Sc. degrees in Mathematics from the Jadavpur University,

West Bengal, India. He received his Ph.D. degree from the Department

of Mathematics, Indian Institute of Technology, Kharagpur, India.

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 to IIT Bhubaneswar he visited IST, Lisbon, Portugal and Ghent University, Belgium for carring out several 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. 

Teaching

In the Spring Semester : Combinatorics, Probability and Statistics (MA2L006), Probability and Statistics (MA5L004), In the Autumn Semester: Probability-Statistics and Stochastic Process (MA2L003), Mathematical Mathods (MA6L001)

Projects

 

1. Development of computational methods for stochastic models with Markovian arrival / service process and their applications

Funding Agency : DST, New Delhi, India

2. Computational Analysis of Queueing Models with Applications

Funding Agency : SRIC, IIT Bhubaneswar

3. Development of computational method for finding the exact results on the queueing models involving heavy-tail distributions using complex analysis.

 
Funding Agency : DST, New Delhi, India

Recent Publications (International Journals)

1A novel computational procedure for the waiting-time distribution (in the queue) for bulk-service finite-buffer queues with poisson input M Chaudhry, A Datta Banik, S Barik, V Goswami Mathematics 11 (5), 1142
2A simple and efficient computing procedure of the stationary system-length distributions for GIX/D/c and BMAP/D/c queues AD Banik, ML Chaudhry, S Wittevrongel, H Bruneel Computers & Operations Research 138, 105564
3A. D. Banik, M. L. Chaudhry 2016. Efficient Computational Analysis of Stationary Probabilities for the Queueing System BMAP/G/1/N With or Without Vacation(s). INFORMS Journal on Computing, 29(1), 140–151.
4A. D. Banik, 2015. Single server queues with batch Markovian arrival process and bulk renewal or non-renewal service. Journal of system science and systems engineering. 24, 337-363.
5A. D. Banik, 2017. Stationary Analysis of a BMAP/R/1 Queue with R-type Multiple Working Vacations. Communications in Statistics-Simulation and Computation. (Article in Press)
6A. D. Banik, 2014. 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 31, 214-230.
7A. D. Banik, 2013. 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, 14 Pages.
8A. D. Banik, 2013. Stationary distributions and optimal control of queues with batch Markovian arrival process under multiple adaptive vacations. Computers & Industrial Engineering 65 (3), 455-465.
9Difference equations approach for multi-server queueing models with removable servers JJ Kim, DG Down, M Chaudhry, AD Banik Methodology and Computing in Applied Probability 24 (3), 1297-1321
10A detailed note on the finite-buffer queueing system with correlated batch-arrivals and batch-size-/phase-dependent bulk-service S Ghosh, AD Banik, J Walraevens, H Bruneel 4OR 20 (2), 241-272
11Analysis of BMAP∕R∕1 Queues Under Gated-Limited Service with the Server’s Single Vacation Policy S Ghosh, AD Banik, ML Chaudhry Applied Probability and Stochastic Processes, 103-128
12On the optimal control of loss probability and profit in a GI/C-BMSP/1/N queueing system A Datta Banik, S Ghosh, ML Chaudhry OPSEARCH 57 (1), 144-162
13Sojourn-time Distribution for Queue with Batch Service of Fixed Size - Revisited V Goswami, M Chaudhry, AD Banik Methodology and Computing in Applied Probability 24 (4), 2897-2912
14A New and Pragmatic Approach to the GIX/Geo/c/N Queues Using Roots JJ Kim, ML Chaudhry, V Goswami, AD Banik Methodology and Computing in Applied Probability 23, 273-289
15U. 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, Journal of Applied Mathematics and Stochastic Analysis 2005 (3) 353-373.
16A. D. Banik, U. C. Gupta and S. S. Pathak, Finite buffer vacation models under E-limited with limit variation service and Markovian arrival process, Operations Research Letters 34 (5) 539-547
17A. D. Banik, U. C. Gupta and S. S. Pathak, BMAP/G/1/N queue with vacations and limited service discipline, Applied Mathematics and Computation 180 (2) 707-721.
18U. C. Gupta and A. D. Banik, Complete analysis of finite and infinite buffer GI/MSP/1 queue-a computational approach, Operations Research Letters 35 (2) 273-280.
19A. D. Banik, U. C. Gupta and S. S. Pathak, On the GI/M/1/N queue with multiple working vacations-analytic analysis and computation, Applied Mathematical Modelling 31(9)1701-1710.
20Souvik Ghosh, A. D. Banik 2017. An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue. Computers & Operations Research 79, 1–11.
21Gopinath Panda, Veena Goswami, A. D. Banik 2016. Equilibrium and Socially Optimal Balking Strategies in Markovian Queues with Vacations and Sequential Abandonment. Asia-Pacific Journal of Operational Research 33(05), 34 Pages.
22Gopinath Panda, A.D. Banik & M.L. Chaudhry 2017. Stationary distributions of the R[X]/R/1 cross-correlated queue. Communication in Statistics-Theory and Methods. (Article in Press)
23Dibyajyoti Guha, Veena Goswami, A. D. Banik 2015. Equilibrium balking strategies in renewal input batch arrival queues with multiple and single working vacation. Performance Evaluation 94, 1—24.
24Dibyajyoti Guha, Veena Goswami, A. D. Banik, 2016. 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 40, 4199–4219.
25ML Chaudhry, AD Banik, A Pacheco, 2015. 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. (Article in Press)
26Chaudhry M. L., A. D. Banik, A. Pacheco, Souvik Ghosh, 2016. 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 50, 519—551.
27Gopinath Panda, Veena Goswami, A. D. Banik, Dibyajyoti Guha, 2016. Equilibrium balking strategies in renewal input queue with Bernoulli-schedule controlled vacation and vacation interruption, Journal of Industrial and Management Optimization. 12 (3), 851--878. ([Publisher: American Institute of Mathematical Sciences]
28D. Guha and A. D. Banik 2013. On The Renewal Input Batch-arrival Queue Under Single And Multiple Working Vacation Policy With Application To EPON. INFOR: Information Systems and Operational Research 51 (4), 175-191.

Conferences (International)

1A. 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.
2V. 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.
3A. 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).
4Gopinath 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)
5Gopinath 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]
6G 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]
7D 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]
8AD 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]
 

Academic Honors & Awards

  • 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
 

Research Scholar

Dibyajyoti Guha (Ph. D, 2016) , Gopinath Panda (Ph. D., 2017) , Souvik Ghosh (Ph. D., 2019)
 
Sitaram Barik, Poulami Jana (Ph. D., continuing) 
 

Professional Experience

Post-Doctoral researcher at the Ghent University, Belgium (in the years 2018, 2019). Post-Doctoral researcher at IST, Lisbon, Portugal (in the years 2010, 2012). Post-Doctoral researcher at the School of Technology and Computer Science, TIFR, Mumbai, India (in the years 2008--2009).  Post-Doctoral researcher at INRIA (IRISA), Rennes, France (in the years 2006--2007)

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