Research Interests

I am broadly interested in applying probability theory to understand the behaviour of networks and algorithms. I am particularly interested in algorithms and analysis for large-scale networks which include many real-world examples such as social networks, cloud networks, the internet, artificial neural networks, etc. I try to understand the performance of these networks by analysing the stochastic dynamics which describes the time evolution of the nodes and edges constituting the networks. Some keywords that describe my research are:

• Applied Probability

• Network Performance Analysis 

• Dynamics of Complex Networks 

• Mathematical Foundations of Machine Learning

Available Positions

I am always looking for motivated Ph.D. students with strong mathematical background to work with me. To have a better understanding of the type of research I do, please have a look at some of my recent papers. If you are interested to work with me, please send in your resume. Students with non-CS background (e.g., in Mathematics, Statistics, Electrical Engineering) are encouraged to apply. Information on the application process and funding opportunities can be found here and here.

The CS department at Warwick is one of the top computing departments in the UK (it ranks 4th among all computing departments in the latest Research Excellence Framework). It is well known for its research in theoretical and foundational areas of computer science. It is also strongly connected to the reknowned Warwick Mathematics Institute (WMI). 

Work Experience

• April, 2024 -Present: Associate Professor, , Department of Computer Science, University of Warwick

• April, 2019 - March, 2024: Assistant Professor, Department of Computer Science, University of Warwick

• 2017-2019: Postdoc at EPFL,Switzerland. 

• 2016-2017: Postdoc at INRIA, Paris, France. 

Invited Talks

• Invited talk at NESTiD Seminar Series 2024-25, Durham University.

• Invited talk at International Conference on Signal Processing and Communications (SPCOM 2024), Indian Institute of Science, Bangalore, July 2024. 

• UK Research Network in Stochastics Kick-off Workshop, Edinburgh, June 2024.

• Seminar at the School of Technology and Computer Science (STCS), Tata Institute of Fundamental Research (TIFR), Mumbai, February, 2024.

• Warwick Centre for Predictive Modelling seminar series, November 2023

• INFORMS Applied Probability Society Conference, Nancy, France, June 2023. 

• Probability Seminar at School of Mathematics, University of Bristol, June 2023.

• Consensus Dynamics on Networks of Biased Agents, ICDCN 2023 Workshops, Indian Institute of Technology (IIT) KGP, India, January 2023.

• On the Power of Little Job Parallelism for Latency Reduction, Network Seminar Series, Centre for Networked Intelligence, Indian Institute of Science (IISc), Bangalore, India, 2022.  YouTube

• On the Asymptotics of Some Large-Scale Networks, Seminar, Bharti School of Telecommunications, Indian Institute of Technology (IIT), Delhi, India, 2020. 

• Algorithms for Large Networks: An Asymptotic Approach, International Teletraffic Congress (ITC) 2018, Vienna, Austria.

• Binary Opinion Dynamics with Biased Agents and Agents with Different Degrees of Stubbornness, INRIA, Grenoble, France, 2016.

Professional Services

• Program Committees: ACM SIGMETRICS/IFIP Performance (2024), IFIP Performance (2020, 2021), International Teletraffic Congress (2019,2020,2022,2023).

• Co-organizer of workshop on "Advances in Probability Theory and Applications to Systems Modeling"  (in honor of Prof. Ravi R. Mazumdar).

• Co-organizer of workshop on "Queuing Theory for Emerging Classical and Quantum Systems" (QTECQS) at IFIP Performance 2023.

• Ph.D Workshop Co-Chair for International Teletraffic Congress 2020.

• Journal Reviewer: ACM ToMPECS, IEEE/ACM ToN, IEEE TIT, IEEE TCNS, IEEE TMC, IEEE TNSE, Stochastic Systems, Performance Evaluation.

Publications

A list of all my publications can be found on my Google Scholar Profile. Here is a more organised list

Preprints:

1. Diffusion Approximations of Speed-Aware Join-the-Shortest-Queue Scheme: Transient and Stationary Analysis
   S. Bhambay, Burak Büke, and A. Mukhopadhyay
   Under review. arXiv

2. Biased Consensus Dynamics on Regular Expander Graphs
   O. Deb and A. Mukhopadhyay
   arXiv

3. A Model of Job Parallelism for Latency Reduction in Large-Scale Systems
   A. Ganesh and A. Mukhopadhyay
   arXiv

In Journals:

1. The Impact of Load Comparison Errors on the Power-of-d Load Balancing
   S. Bhambay, A. Mukhopadhyay, T. Vasantam
   Performance Evaluation , Vol. 164, pp.102408, 2024.

2. Phase Transitions in Biased Opinion Dynamics with 2-choices Rule
   A. Mukhopadhyay
   Probability in Engineering and Informational Sciences, 2023.

3. Asymptotic Optimality of Speed-Aware JSQ for Heterogeneous Service Systems
   S. Bhambay and A. Mukhopadhyay
   Performance Evaluation, vol. 157, pp. 102320, 2022.

4. Voter and Majority Dynamics with Biased and Stubborn Agents
   A. Mukhopadhyay, R. R. Mazumdar, and R. Roy
   Journal of Statistical Physics, vol. 181, pp. 1239–1265, 2020.

5. Three-Phase Untransposed Short Line Parameter Estimation from Synchrophasor Measurements
   A. Wehenkel, A. Mukhopadhyay, J. Y. Leboudec, and M. Paolone
   IEEE Transactions on Instrumentation and Measurement, vol. 69(9), pp. 6143-6154, 2020.

6. On the Throughput Optimization in Large-Scale Batch-Processing Systems
   S. Kar, R. Rehrmann, A. Mukhopadhyay, B. Alt, F. Ciucu, H. Koeppl, C. Binnig, and A. Rizk
   Performance Evaluation, vol. 144, pp. 102142, 2020.

7. Insensitivity of the Mean Field Limit of Loss Systems Under Power-of-d Routing
   T. Vasantam, A. Mukhopadhyay, and R. R. Mazumdar
   Advances in Applied Probability, vol. 51(4), pp. 1027-1066, 2019.

8. Asymptotics of Replication and Matching in Large Caching Systems
   A. Mukhopadhyay, N. Hegde and M. Lelarge
   IEEE/ACM Transactions on Networking, vol. 27(4), pp. 1657-1668, 2019.

9. The Mean-field Behavior of Processor Sharing Systems with General Job Lengths Under the SQ(d) Policy
   T. Vasantam, A. Mukhopadhyay, and R. R. Mazumdar
   Performance Evaluation, vol. 127-128, pp. 120-153, 2018.

10. Choosing among Heterogeneous Server Clouds
    A. Karthik, A. Mukhopadhyay, and R. R. Mazumdar
    Queueing Systems, vol. 85, pp. 1-29, 2017.

11. Randomized Assignment of Jobs to Servers in Heterogeneous Clusters of Shared Servers for Low Delay
    A. Mukhopadhyay, A. Karthik, and R. R. Mazumdar
    Stochastic Systems, vol. 6(1), pp. 90-131, 2016.

12. Analysis of Randomized Join-The-Shortest-Queue (JSQ) Schemes in Large Heterogeneous Processor Sharing Systems
    A. Mukhopadhyay and R. R. Mazumdar
    IEEE Transactions on Control and Network Systems, vol. 3(2), pp. 116-126, 2016.

13. Mean Field and Propagation of Chaos in Multi-Class Heterogeneous Loss Models
    A. Mukhopadhyay, A. Karthik, R. R. Mazumdar, and F. Guillemin
    Performance Evaluation, vol. 91, pp. 117-131, 2015.

14. Design and Analysis of an Acknowledgment- Aware Asynchronous MPR MAC Protocol for Distributed WLANs
    A. Mukhopadhyay, N. B. Mehta, and V. Srinivasan
    IEEE Transactions on Wireless Communications, vol. 12(5), pp. 2068-2079, 2013.

15. Exploratory Power of the Harmony Search Algorithm: Analysis and Improvements for Global Numerical Optimization
    S. Das, A. Mukhopadhyay, A. Roy, A. Abraham, and B. K. Panigrahi
    IEEE Transactions on Systems, Man, and Cybernetics, Part B, vol. 41(1), pp. 89-106, 2011.

In Conferences

1. On Optimal Server Allocation for Moldable Jobs with Concave Speed-Up
   S. Ghanbarian, A. Mukhopadhyay, R. R. Mazumdar, and F. M. Guillemin
   ACM Mobihoc 2024. (Best Paper Award)

2. How to Rent GPUs on a Budget
   Zhouzi Li, Benjamin Berg, Arpan Mukhopadhyay, Mor Harchol-Balter
   European Performance Engineering Workshop (EPEW), 2024

3. The Power of Two Choices with Load Comparison Errors
   S. Bhambay, A. Mukhopadhyay, and T. Vasantam
   ACM Mobihoc 2023. 

4. Optimal Load Balancing in Heterogeneous Server Systems
   S. Bhambay and A. Mukhopadhyay
   Wiopt, 2022, Turin, Italy.

5. On the Throughput Optimization in Large-Scale Batch-Processing Systems
   S. Kar, R. Rehrmann, A. Mukhopadhyay, B. Alt, F. Ciucu, H. Koeppl, C. Binnig, and A. Rizk
   IFIP Performance, 2020, Milan, Italy.

6. Optimal Storage Arbitrage under Net Metering using Linear Programming
   U. Hashmi, A. Mukhopadhyay, A. Busic, J. Elias, and D. Kiedanski
   IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm), 2019, Beijing, China.

7. The Mean-Field Behavior of Processor Sharing Systems with General Job Lengths Under the SQ(d) policy
   T. Vasantam, A. Mukhopadhyay, and R. R. Mazumdar
   IFIP Performance 2018, Tolouse, France.

8. Optimal Content Replication and Request Matching in Large Caching Systems
   A. Mukhopadhyay, N. Hegde, and M. Lelarge
   IEEE INFOCOM 2018, Hawai, USA. (Best-In-Session Presentation Award)

9. Mean Field Analysis of Loss Models with Mixed-Erlang Distributions under Power-of-d Routing
   T. Vasantam, A. Mukhopadhyay, and R. R. Mazumdar
   29th International Teletraffic Congress (ITC 29), 2017, Genoa, Italy. 

10. Optimal Control of Storage under Time Varying Electricity Prices
    U. Hashmi, A. Mukhopadhyay, A. Busic, and J. Elias
    IEEE International Conference on Smart Grid Communications (SmartGridComm), 2017, Dresden, Germany.

11. Binary Opinion Dynamics with Biased Agents and Agents with Different Degrees of Stubbornness
    A. Mukhopadhyay, R. R. Mazumdar, and R. Roy
    28th International Teletraffic Congress (ITC 28), 2016, Wurzburg, Germany.

12. Majority Rule Based Opinion Dynamics with Biased and Stubborn Agents
    A. Mukhopadhyay, R. R. Mazumdar, and R. Roy
    ACM SIGMETRICS, 2016, Antibes Juan-les-Pins, France.

13. Mean Field and Propagation of Chaos in Multi-Class Heterogeneous Loss Models
    A. Mukhopadhyay, A. Karthik, R. R. Mazumdar, and F. Guillemin
    IFIP Performance, 2015, Sydney, Australia. (Best Paper Award)

14. The Power of Randomized Routing in Heterogeneous Loss Systems
    A. Mukhopadhyay, R. R. Mazumdar, and F. Guillemin
    27th International Teletraffic Congress (ITC 27), 2015, Ghent, Belgium. (Best Paper Award)

15. Rate-Based Randomized Routing in Large Heterogeneous Processor Sharing Systems
    A. Mukhopadhyay and R. R. Mazumdar
    26th International Teletraffic Congress (ITC 26), 2014, Karlskrona, Sweden.

16. Randomized Routing Schemes for Large Proces- sor Sharing Systems with Multiple Service Rates
    A. Mukhopadhyay and R. R. Mazumdar
    ACM SIGMETRICS, 2014, Austin, Texas, USA.

17. Acknowledgement-Aware MPR MAC Protocol for Distributed WLANs: Design and Analysis
    A. Mukhopadhyay, N. B. Mehta, and V. Srinivasan
    IEEE GLOBECOM, 2012, Anaheim, USA.

18. Population-variance and exploratory power of Harmony Search: An analysis
    A. Mukhopadhyay, A. Roy, S. Das, S. Das, and A. Abraham,
    IEEE ICDIM, 2008, London, UK.

Teaching

• (Advanced) Topics in Data Science, Level: UG/PG, Years taught: 2021-22, 2022-23.
  Lecture Notes on Multi-Armed Bandits

• Operating Systems and Computer Networks, Level: UG, Years taught: 2019-20, 2020-21, 2021-22, 2022-23, 2023-24

Supervision

Ph.D.

1. Sanidhay Bhambay (2020-2024) (Now postdoc at Durham University Business School)

Masters

1. Ruaidhri Archbold (2022-23)

2. Ying Jin (2022-23)

3. Gabriel Wright (2021-22)

4. Ryan Headlam (2021-22)

5. Mitch Goh (2020-21)

6. Ernie Chow (2019-2020)